qu.env.lastSaved= Aug 14, 2005 3:04:30 PM @ qu.env.validTest= true @ qu.1.topic=11_1 Functions in Tables@ qu.1.1.mode=Multiple Selection@ qu.1.1.name=4 functions@ qu.1.1.comment=For all relations, each x value has one unique output. All relations are functions.@ qu.1.1.editing=useHTML@ qu.1.1.algorithm=$n=rint(3); $i11=switch($n,1,4,7,6,2,5,3,8,11); $i12=switch($n+1,1,4,7,6,2,5,3,8,11); $i13=switch($n+2,1,4,7,6,2,5,3,8,11); $i14=switch($n+4,1,4,7,6,2,5,3,8,11); $m=range(2,5,1); $b=range(-8,8,1); $o11=$m*$i11+$b; $o12=$m*$i12+$b; $o13=$m*$i13+$b; $o14=$m*$i14+$b; $i21=switch($n,4,7,8,2,3,5,1,9,6); $i22=switch($n+1,4,7,8,2,3,5,1,9,6); $i23=switch($n+2,4,7,8,2,3,5,1,9,6); $i24=switch($n+4,4,7,8,2,3,5,1,9,6); $o21=-1*$m*$i21+$b; $o22=-1*$m*$i22+$b; $o23=-1*$m*$i23+$b; $o24=-1*$m*$i24+$b; $i31=-4; $i32=-2; $i33=0; $i34=2; $o31=abs(2*$i31+$b); $o32=abs(2*$i32+$b); $o33=abs(2*$i33+$b); $o34=abs(2*$i34+$b); $i41=range(5,8,1); $i42=range(9,12,1); $i43=range(13,16,1); $i44=range(19,22,1); $o41=range(5,8,1); $o42=range(9,12,1); $o43=range(13,16,1); $o44=range(19,22,1);@ qu.1.1.question=Place a check mark beside each relation which is a function.@ qu.1.1.answer=1, 2, 3, 4@ qu.1.1.choice.1=
Input
 $i11
 $i12
 $i13
 $i14
Output
 $o11
 $o12
 $o13
 $o14
@ qu.1.1.choice.2=
Input
 $i21
 $i22
 $i23
 $i24
Output
 $o21
 $o22
 $o23
 $o24
@ qu.1.1.choice.3=
Input
 $i31
 $i32
 $i33
 $i34
Output
 $o31
 $o32
 $o33
 $o34
@ qu.1.1.choice.4=
Input
 $i41
 $i42
 $i43
 $i44
Output
 $o41
 $o42
 $o43
 $o44
@ qu.1.2.mode=Multiple Selection@ qu.1.2.name=3 functions@ qu.1.2.comment=
Input
 $i11
 $i12
 $i13
 $i12
Output
 $o11
 $o12
 $o13
 $o14


In the relation above, $i12 has two different output values of $o12 and $o14. The relation is not a function.

All other relations are functions.

@ qu.1.2.editing=useHTML@ qu.1.2.algorithm=$n=rint(3); $i11=switch($n,1,4,7,6,2,5,3,8,11); $i12=switch($n+1,1,4,7,6,2,5,3,8,11); $i13=switch($n+2,1,4,7,6,2,5,3,8,11); $i14=switch($n+4,1,4,7,6,2,5,3,8,11); $m=range(2,5,1); $b=range(-8,8,1); $o11=$m*$i11+$b; $o12=$m*$i12+$b; $o13=$m*$i13+$b; $o14=$m*$i14+$b; $i21=switch($n,4,7,8,2,3,5,1,9,6); $i22=switch($n+1,4,7,8,2,3,5,1,9,6); $i23=switch($n+2,4,7,8,2,3,5,1,9,6); $i24=switch($n+4,4,7,8,2,3,5,1,9,6); $o21=-1*$m*$i21+$b; $o22=-1*$m*$i22+$b; $o23=-1*$m*$i23+$b; $o24=-1*$m*$i24+$b; $i31=-4; $i32=-2; $i33=0; $i34=2; $o31=abs(2*$i31+$b); $o32=abs(2*$i32+$b); $o33=abs(2*$i33+$b); $o34=abs(2*$i34+$b); $i41=range(5,8,1); $i42=range(9,12,1); $i43=range(13,16,1); $i44=range(19,22,1); $o41=range(5,8,1); $o42=range(9,12,1); $o43=range(13,16,1); $o44=range(19,22,1);@ qu.1.2.question=Place a check mark beside each relation which is a function.@ qu.1.2.answer=2, 3, 4@ qu.1.2.choice.1=
Input
 $i11
 $i12
 $i13
 $i12
Output
 $o11
 $o12
 $o13
 $o14
@ qu.1.2.choice.2=
Input
 $i21
 $i22
 $i23
 $i24
Output
 $o21
 $o22
 $o23
 $o24
@ qu.1.2.choice.3=
Input
 $i31
 $i32
 $i33
 $i34
Output
 $o31
 $o32
 $o33
 $o34
@ qu.1.2.choice.4=
Input
 $i41
 $i42
 $i43
 $i44
Output
 $o41
 $o42
 $o43
 $o44
@ qu.1.3.mode=Multiple Selection@ qu.1.3.name=2 functions@ qu.1.3.comment=
Input
 $i11
 $i12
 $i13
 $i12
Output
 $o11
 $o12
 $o13
 $o14
In the relation above, $i12 has two different output values of $o12 and $o14. The relation is not a function.
Input
 $i21
 $i22
 $i23
 $i21
Output
 $o21
 $o22
 $o23
 $o24
In the relation above, $i21 has two different output values of $o21 and $o24. The relation is not a function.

All other two relations are functions.

@ qu.1.3.editing=useHTML@ qu.1.3.algorithm=$n=rint(3); $i11=switch($n,1,4,7,6,2,5,3,8,11); $i12=switch($n+1,1,4,7,6,2,5,3,8,11); $i13=switch($n+2,1,4,7,6,2,5,3,8,11); $i14=switch($n+4,1,4,7,6,2,5,3,8,11); $m=range(2,5,1); $b=range(-8,8,1); $o11=$m*$i11+$b; $o12=$m*$i12+$b; $o13=$m*$i13+$b; $o14=$m*$i14+$b; $i21=switch($n,4,7,8,2,3,5,1,9,6); $i22=switch($n+1,4,7,8,2,3,5,1,9,6); $i23=switch($n+2,4,7,8,2,3,5,1,9,6); $i24=switch($n+4,4,7,8,2,3,5,1,9,6); $o21=-1*$m*$i21+$b; $o22=-1*$m*$i22+$b; $o23=-1*$m*$i23+$b; $o24=-1*$m*$i24+$b; $i31=-4; $i32=-2; $i33=0; $i34=2; $o31=abs(2*$i31+$b); $o32=abs(2*$i32+$b); $o33=abs(2*$i33+$b); $o34=abs(2*$i34+$b); $i41=range(5,8,1); $i42=range(9,12,1); $i43=range(13,16,1); $i44=range(19,22,1); $o41=range(5,8,1); $o42=range(9,12,1); $o43=range(13,16,1); $o44=range(19,22,1);@ qu.1.3.question=Place a check mark beside each relation which is a function.@ qu.1.3.answer=3, 4@ qu.1.3.choice.1=
Input
 $i11
 $i12
 $i13
 $i12
Output
 $o11
 $o12
 $o13
 $o14
@ qu.1.3.choice.2=
Input
 $i21
 $i22
 $i23
 $i21
Output
 $o21
 $o22
 $o23
 $o24
@ qu.1.3.choice.3=
Input
 $i31
 $i32
 $i33
 $i34
Output
 $o31
 $o32
 $o33
 $o34
@ qu.1.3.choice.4=
Input
 $i41
 $i42
 $i43
 $i44
Output
 $o41
 $o42
 $o43
 $o44
@ qu.1.4.mode=Multiple Selection@ qu.1.4.name=4 functions with same output@ qu.1.4.comment=For all relations, each x value has one unique output. All relations are functions.
Input
$i11
$i12
$i13
$i12
Output
$o11
$o11
$o13
$o14
$o11 is the same output in the relation above, but it has two different input values. No input value has the same output value.
@ qu.1.4.editing=useHTML@ qu.1.4.algorithm=$n=rint(3); $i11=switch($n,1,4,7,6,2,5,3,8,11); $i12=switch($n+1,1,4,7,6,2,5,3,8,11); $i13=switch($n+2,1,4,7,6,2,5,3,8,11); $i14=switch($n+4,1,4,7,6,2,5,3,8,11); $m=range(2,5,1); $b=range(-8,8,1); $o11=$m*$i11+$b; $o12=$m*$i12+$b; $o13=$m*$i13+$b; $o14=$m*$i14+$b; $i21=switch($n,4,7,8,2,3,5,1,9,6); $i22=switch($n+1,4,7,8,2,3,5,1,9,6); $i23=switch($n+2,4,7,8,2,3,5,1,9,6); $i24=switch($n+4,4,7,8,2,3,5,1,9,6); $o21=-1*$m*$i21+$b; $o22=-1*$m*$i22+$b; $o23=-1*$m*$i23+$b; $o24=-1*$m*$i24+$b; $i31=-4; $i32=-2; $i33=0; $i34=2; $o31=abs(2*$i31+$b); $o32=abs(2*$i32+$b); $o33=abs(2*$i33+$b); $o34=abs(2*$i34+$b); $i41=range(5,8,1); $i42=range(9,12,1); $i43=range(13,16,1); $i44=range(19,22,1); $o41=range(5,8,1); $o42=range(9,12,1); $o43=range(13,16,1); $o44=range(19,22,1);@ qu.1.4.question=Place a check mark beside each relation which is a function.@ qu.1.4.answer=1, 2, 3, 4@ qu.1.4.choice.1=
Input
 $i11
 $i12
 $i13
 $i14
Output
 $o11
 $o11
 $o13
 $o14
@ qu.1.4.choice.2=
Input
 $i21
 $i22
 $i23
 $i24
Output
 $o21
 $o22
 $o23
 $o24
@ qu.1.4.choice.3=
Input
 $i31
 $i32
 $i33
 $i34
Output
 $o31
 $o32
 $o33
 $o34
@ qu.1.4.choice.4=
Input
 $i41
 $i42
 $i43
 $i44
Output
 $o41
 $o42
 $o43
 $o44
@ qu.2.topic=11_1 Functions in Ordered Pairs@ qu.2.1.mode=Multiple Selection@ qu.2.1.name=4 functions@ qu.2.1.comment=For all relations, each x value has one unique output. All relations are functions.@ qu.2.1.editing=useHTML@ qu.2.1.algorithm=$n=rint(3); $i11=switch($n,1,4,7,6,2,5,3,8,11); $i12=switch($n+1,1,4,7,6,2,5,3,8,11); $i13=switch($n+2,1,4,7,6,2,5,3,8,11); $i14=switch($n+4,1,4,7,6,2,5,3,8,11); $m=range(2,5,1); $b=range(-8,8,1); $o11=$m*$i11+$b; $o12=$m*$i12+$b; $o13=$m*$i13+$b; $o14=$m*$i14+$b; $i21=switch($n,4,7,8,2,3,5,1,9,6); $i22=switch($n+1,4,7,8,2,3,5,1,9,6); $i23=switch($n+2,4,7,8,2,3,5,1,9,6); $i24=switch($n+4,4,7,8,2,3,5,1,9,6); $o21=-1*$m*$i21+$b; $o22=-1*$m*$i22+$b; $o23=-1*$m*$i23+$b; $o24=-1*$m*$i24+$b; $i31=-4; $i32=-2; $i33=0; $i34=2; $o31=abs(2*$i31+$b); $o32=abs(2*$i32+$b); $o33=abs(2*$i33+$b); $o34=abs(2*$i34+$b); $i41=range(5,8,1); $i42=range(9,12,1); $i43=range(13,16,1); $i44=range(19,22,1); $o41=range(5,8,1); $o42=range(9,12,1); $o43=range(13,16,1); $o44=range(19,22,1);@ qu.2.1.question=Place a check mark beside each relation which is a function.@ qu.2.1.answer=1, 2, 3, 4@ qu.2.1.choice.1= R = {($i11, $o11), ($i12, $o12), ($i13, $o13), ($i14, $o14)}@ qu.2.1.choice.2= S = {($i21, $o21), ($i22, $o22), ($i23, $o23), ($i24, $o24)}@ qu.2.1.choice.3= T = {($i31, $o31), ($i32, $o32), ($i33, $o33), ($i34, $o34)}@ qu.2.1.choice.4= V = {($i41, $o41), ($i42, $o42), ($i43, $o43), ($i44, $o44)}@ qu.2.2.mode=Multiple Selection@ qu.2.2.name=3 functions@ qu.2.2.comment= R = {($i11, $o11), ($i12, $o12), ($i13, $o13), ($i12, $o14)}
In the relation above, $i12 has two different output values of $o12 and $o14. The relation is not a function.

All other relations are functions.

@ qu.2.2.editing=useHTML@ qu.2.2.algorithm=$n=rint(3); $i11=switch($n,1,4,7,6,2,5,3,8,11); $i12=switch($n+1,1,4,7,6,2,5,3,8,11); $i13=switch($n+2,1,4,7,6,2,5,3,8,11); $i14=switch($n+4,1,4,7,6,2,5,3,8,11); $m=range(2,5,1); $b=range(-8,8,1); $o11=$m*$i11+$b; $o12=$m*$i12+$b; $o13=$m*$i13+$b; $o14=$m*$i14+$b; $i21=switch($n,4,7,8,2,3,5,1,9,6); $i22=switch($n+1,4,7,8,2,3,5,1,9,6); $i23=switch($n+2,4,7,8,2,3,5,1,9,6); $i24=switch($n+4,4,7,8,2,3,5,1,9,6); $o21=-1*$m*$i21+$b; $o22=-1*$m*$i22+$b; $o23=-1*$m*$i23+$b; $o24=-1*$m*$i24+$b; $i31=-4; $i32=-2; $i33=0; $i34=2; $o31=abs(2*$i31+$b); $o32=abs(2*$i32+$b); $o33=abs(2*$i33+$b); $o34=abs(2*$i34+$b); $i41=range(5,8,1); $i42=range(9,12,1); $i43=range(13,16,1); $i44=range(19,22,1); $o41=range(5,8,1); $o42=range(9,12,1); $o43=range(13,16,1); $o44=range(19,22,1);@ qu.2.2.question=Place a check mark beside each relation which is a function.@ qu.2.2.answer=2, 3, 4@ qu.2.2.choice.1= R = {($i11, $o11), ($i12, $o12), ($i13, $o13), ($i12, $o14)}@ qu.2.2.choice.2= S = {($i21, $o21), ($i22, $o22), ($i23, $o23), ($i24, $o24)}@ qu.2.2.choice.3= T = {($i31, $o31), ($i32, $o32), ($i33, $o33), ($i34, $o34)}@ qu.2.2.choice.4= V = {($i41, $o41), ($i42, $o42), ($i43, $o43), ($i44, $o44)}@ qu.2.3.mode=Multiple Selection@ qu.2.3.name=2 functions@ qu.2.3.comment= R = {($i11, $o11), ($i12, $o12), ($i13, $o13), ($i12, $o14)}
In the relation above, $i12 has two different output values of $o12 and $o14. The relation is not a function.
S = {($i21, $o21), ($i22, $o22), ($i23, $o23), ($i21, $o24)}
In the relation above, $i21 has two different output values of $o21 and $o24. The relation is not a function.

All other two relations are functions.

@ qu.2.3.editing=useHTML@ qu.2.3.algorithm=$n=rint(3); $i11=switch($n,1,4,7,6,2,5,3,8,11); $i12=switch($n+1,1,4,7,6,2,5,3,8,11); $i13=switch($n+2,1,4,7,6,2,5,3,8,11); $i14=switch($n+4,1,4,7,6,2,5,3,8,11); $m=range(2,5,1); $b=range(-8,8,1); $o11=$m*$i11+$b; $o12=$m*$i12+$b; $o13=$m*$i13+$b; $o14=$m*$i14+$b; $i21=switch($n,4,7,8,2,3,5,1,9,6); $i22=switch($n+1,4,7,8,2,3,5,1,9,6); $i23=switch($n+2,4,7,8,2,3,5,1,9,6); $i24=switch($n+4,4,7,8,2,3,5,1,9,6); $o21=-1*$m*$i21+$b; $o22=-1*$m*$i22+$b; $o23=-1*$m*$i23+$b; $o24=-1*$m*$i24+$b; $i31=-4; $i32=-2; $i33=0; $i34=2; $o31=abs(2*$i31+$b); $o32=abs(2*$i32+$b); $o33=abs(2*$i33+$b); $o34=abs(2*$i34+$b); $i41=range(5,8,1); $i42=range(9,12,1); $i43=range(13,16,1); $i44=range(19,22,1); $o41=range(5,8,1); $o42=range(9,12,1); $o43=range(13,16,1); $o44=range(19,22,1);@ qu.2.3.question=Place a check mark beside each relation which is a function.@ qu.2.3.answer=3, 4@ qu.2.3.choice.1= R = {($i11, $o11), ($i12, $o12), ($i13, $o13), ($i12, $o14)}@ qu.2.3.choice.2= S = {($i21, $o21), ($i22, $o22), ($i23, $o23), ($i21, $o24)}@ qu.2.3.choice.3= T = {($i31, $o31), ($i32, $o32), ($i33, $o33), ($i34, $o34)}@ qu.2.3.choice.4= V = {($i41, $o41), ($i42, $o42), ($i43, $o43), ($i44, $o44)}@ qu.2.4.mode=Multiple Selection@ qu.2.4.name=4 functions with same output@ qu.2.4.comment=For all relations, each x value has one unique output. All relations are functions.
S = {($i21, $o21), ($i22, $o22), ($i23, $o23), ($i21, $o24)}
$o11 is the same output in the relation above, but it has two different input values. No input value has the same output value.
@ qu.2.4.editing=useHTML@ qu.2.4.algorithm=$n=rint(3); $i11=switch($n,1,4,7,6,2,5,3,8,11); $i12=switch($n+1,1,4,7,6,2,5,3,8,11); $i13=switch($n+2,1,4,7,6,2,5,3,8,11); $i14=switch($n+4,1,4,7,6,2,5,3,8,11); $m=range(2,5,1); $b=range(-8,8,1); $o11=$m*$i11+$b; $o12=$m*$i12+$b; $o13=$m*$i13+$b; $o14=$m*$i14+$b; $i21=switch($n,4,7,8,2,3,5,1,9,6); $i22=switch($n+1,4,7,8,2,3,5,1,9,6); $i23=switch($n+2,4,7,8,2,3,5,1,9,6); $i24=switch($n+4,4,7,8,2,3,5,1,9,6); $o21=-1*$m*$i21+$b; $o22=-1*$m*$i22+$b; $o23=-1*$m*$i23+$b; $o24=-1*$m*$i24+$b; $i31=-4; $i32=-2; $i33=0; $i34=2; $o31=abs(2*$i31+$b); $o32=abs(2*$i32+$b); $o33=abs(2*$i33+$b); $o34=abs(2*$i34+$b); $i41=range(5,8,1); $i42=range(9,12,1); $i43=range(13,16,1); $i44=range(19,22,1); $o41=range(5,8,1); $o42=range(9,12,1); $o43=range(13,16,1); $o44=range(19,22,1);@ qu.2.4.question=Place a check mark beside each relation which is a function.@ qu.2.4.answer=1, 2, 3, 4@ qu.2.4.choice.1= R = {($i11, $o11), ($i12, $o11), ($i13, $o13), ($i14, $o14)}@ qu.2.4.choice.2= S = {($i21, $o21), ($i22, $o22), ($i23, $o23), ($i24, $o24)}@ qu.2.4.choice.3= T = {($i31, $o31), ($i32, $o32), ($i33, $o33), ($i34, $o34)}@ qu.2.4.choice.4= V = {($i41, $o41), ($i42, $o42), ($i43, $o43), ($i44, $o44)}@ qu.3.topic=11_1 Complete Function Table@ qu.3.1.mode=Inline@ qu.3.1.name=y = mx + b@ qu.3.1.comment=
Input   Output
-4
  y = ($m)(-4) + $b = $o1
-2
  y = ($m)(-2) + $b = $o2
0
  y = ($m)(0) + $b = $o3
2
  y = ($m)(2) + $b = $o4
4
  y = ($m)(4) + $b = $o5
@ qu.3.1.editing=useHTML@ qu.3.1.algorithm=$m=range(2,5,1); $b=range(1,6,1); $o1=-4*$m+$b; $o2=-2*$m+$b; $o3=$b; $o4=2*$m+$b; $o5=4*$m+$b; $null=null; $mx=null;@ qu.3.1.weighting=1,1,1,1,1@ qu.3.1.numbering=alpha@ qu.3.1.part.1.name=$o1@ qu.3.1.part.1.answer.units=@ qu.3.1.part.1.numStyle=thousands scientific arithmetic@ qu.3.1.part.1.editing=useHTML@ qu.3.1.part.1.showUnits=false@ qu.3.1.part.1.question=(Unset)@ qu.3.1.part.1.mode=Numeric@ qu.3.1.part.1.grading=exact_value@ qu.3.1.part.1.negStyle=minus@ qu.3.1.part.1.answer.num=$o1@ qu.3.1.part.2.name=$o2@ qu.3.1.part.2.answer.units=@ qu.3.1.part.2.numStyle=thousands scientific arithmetic@ qu.3.1.part.2.editing=useHTML@ qu.3.1.part.2.showUnits=false@ qu.3.1.part.2.question=(Unset)@ qu.3.1.part.2.mode=Numeric@ qu.3.1.part.2.grading=exact_value@ qu.3.1.part.2.negStyle=minus@ qu.3.1.part.2.answer.num=$o2@ qu.3.1.part.3.name=$o3@ qu.3.1.part.3.answer.units=@ qu.3.1.part.3.numStyle=thousands scientific arithmetic@ qu.3.1.part.3.editing=useHTML@ qu.3.1.part.3.showUnits=false@ qu.3.1.part.3.question=(Unset)@ qu.3.1.part.3.mode=Numeric@ qu.3.1.part.3.grading=exact_value@ qu.3.1.part.3.negStyle=minus@ qu.3.1.part.3.answer.num=$o3@ qu.3.1.part.4.name=$o4@ qu.3.1.part.4.answer.units=@ qu.3.1.part.4.numStyle=thousands scientific arithmetic@ qu.3.1.part.4.editing=useHTML@ qu.3.1.part.4.showUnits=false@ qu.3.1.part.4.question=(Unset)@ qu.3.1.part.4.mode=Numeric@ qu.3.1.part.4.grading=exact_value@ qu.3.1.part.4.negStyle=minus@ qu.3.1.part.4.answer.num=$o4@ qu.3.1.part.5.name=$o5@ qu.3.1.part.5.answer.units=@ qu.3.1.part.5.numStyle=thousands scientific arithmetic@ qu.3.1.part.5.editing=useHTML@ qu.3.1.part.5.showUnits=false@ qu.3.1.part.5.question=(Unset)@ qu.3.1.part.5.mode=Numeric@ qu.3.1.part.5.grading=exact_value@ qu.3.1.part.5.negStyle=minus@ qu.3.1.part.5.answer.num=$o5@ qu.3.1.question=

Construct a table of values for the function y = ${$m}x + $b

Input   Output
-4
  <1>
-2
  <2>
0
  <3>
2
  <4>
4
  <5>
@ qu.3.2.mode=Inline@ qu.3.2.name=mx +y = b@ qu.3.2.comment=

${$negm}x + y = $b
Solve for y.
y = ${$m}x + $b

Input   Output
-4
  y = ($m)(-4) + $b = $o1
-2
  y = ($m)(-2) + $b = $o2
0
  y = ($m)(0) + $b = $o3
2
  y = ($m)(2) + $b = $o4
4
  y = ($m)(4) + $b = $o5
@ qu.3.2.editing=useHTML@ qu.3.2.algorithm=$m=-1*range(2,5,1); $negm=-1*$m; $b=range(1,6,1); $o1=-4*$m+$b; $o2=-2*$m+$b; $o3=$b; $o4=2*$m+$b; $o5=4*$m+$b;@ qu.3.2.weighting=1,1,1,1,1@ qu.3.2.numbering=alpha@ qu.3.2.part.1.name=$o1@ qu.3.2.part.1.answer.units=@ qu.3.2.part.1.numStyle=thousands scientific arithmetic@ qu.3.2.part.1.editing=useHTML@ qu.3.2.part.1.showUnits=false@ qu.3.2.part.1.question=(Unset)@ qu.3.2.part.1.mode=Numeric@ qu.3.2.part.1.grading=exact_value@ qu.3.2.part.1.negStyle=minus@ qu.3.2.part.1.answer.num=$o1@ qu.3.2.part.2.name=$o2@ qu.3.2.part.2.answer.units=@ qu.3.2.part.2.numStyle=thousands scientific arithmetic@ qu.3.2.part.2.editing=useHTML@ qu.3.2.part.2.showUnits=false@ qu.3.2.part.2.question=(Unset)@ qu.3.2.part.2.mode=Numeric@ qu.3.2.part.2.grading=exact_value@ qu.3.2.part.2.negStyle=minus@ qu.3.2.part.2.answer.num=$o2@ qu.3.2.part.3.name=$o3@ qu.3.2.part.3.answer.units=@ qu.3.2.part.3.numStyle=thousands scientific arithmetic@ qu.3.2.part.3.editing=useHTML@ qu.3.2.part.3.showUnits=false@ qu.3.2.part.3.question=(Unset)@ qu.3.2.part.3.mode=Numeric@ qu.3.2.part.3.grading=exact_value@ qu.3.2.part.3.negStyle=minus@ qu.3.2.part.3.answer.num=$o3@ qu.3.2.part.4.name=$o4@ qu.3.2.part.4.answer.units=@ qu.3.2.part.4.numStyle=thousands scientific arithmetic@ qu.3.2.part.4.editing=useHTML@ qu.3.2.part.4.showUnits=false@ qu.3.2.part.4.question=(Unset)@ qu.3.2.part.4.mode=Numeric@ qu.3.2.part.4.grading=exact_value@ qu.3.2.part.4.negStyle=minus@ qu.3.2.part.4.answer.num=$o4@ qu.3.2.part.5.name=$o5@ qu.3.2.part.5.answer.units=@ qu.3.2.part.5.numStyle=thousands scientific arithmetic@ qu.3.2.part.5.editing=useHTML@ qu.3.2.part.5.showUnits=false@ qu.3.2.part.5.question=(Unset)@ qu.3.2.part.5.mode=Numeric@ qu.3.2.part.5.grading=exact_value@ qu.3.2.part.5.negStyle=minus@ qu.3.2.part.5.answer.num=$o5@ qu.3.2.question=

Construct a table of values for the function ${$negm}x + y = $b

Input   Output
-4
  <1>
-2
  <2>
0
  <3>
2
  <4>
4
  <5>
@ qu.3.3.mode=Inline@ qu.3.3.name=y = -m x^2@ qu.3.3.comment=
Input   Output
-4
  y = ($m)(-4)2 = $o1
-2
  y = ($m)(-2)2 = $o2
0
  y = ($m)(0)2 = $o3
2
  y = ($m)(2)2 = $o4
4
  y = ($m)(4)2 = $o5
@ qu.3.3.editing=useHTML@ qu.3.3.algorithm=$m=-1*range(2,5,1); $negm=-1*$m; $b=range(1,6,1); $o1=16*$m; $o2=4*$m; $o3=0; $o4=4*$m; $o5=16*$m;@ qu.3.3.weighting=1,1,1,1,1@ qu.3.3.numbering=alpha@ qu.3.3.part.1.name=$o1@ qu.3.3.part.1.answer.units=@ qu.3.3.part.1.numStyle=thousands scientific arithmetic@ qu.3.3.part.1.editing=useHTML@ qu.3.3.part.1.showUnits=false@ qu.3.3.part.1.question=(Unset)@ qu.3.3.part.1.mode=Numeric@ qu.3.3.part.1.grading=exact_value@ qu.3.3.part.1.negStyle=minus@ qu.3.3.part.1.answer.num=$o1@ qu.3.3.part.2.name=$o2@ qu.3.3.part.2.answer.units=@ qu.3.3.part.2.numStyle=thousands scientific arithmetic@ qu.3.3.part.2.editing=useHTML@ qu.3.3.part.2.showUnits=false@ qu.3.3.part.2.question=(Unset)@ qu.3.3.part.2.mode=Numeric@ qu.3.3.part.2.grading=exact_value@ qu.3.3.part.2.negStyle=minus@ qu.3.3.part.2.answer.num=$o2@ qu.3.3.part.3.name=$o3@ qu.3.3.part.3.answer.units=@ qu.3.3.part.3.numStyle=thousands scientific arithmetic@ qu.3.3.part.3.editing=useHTML@ qu.3.3.part.3.showUnits=false@ qu.3.3.part.3.question=(Unset)@ qu.3.3.part.3.mode=Numeric@ qu.3.3.part.3.grading=exact_value@ qu.3.3.part.3.negStyle=minus@ qu.3.3.part.3.answer.num=$o3@ qu.3.3.part.4.name=$o4@ qu.3.3.part.4.answer.units=@ qu.3.3.part.4.numStyle=thousands scientific arithmetic@ qu.3.3.part.4.editing=useHTML@ qu.3.3.part.4.showUnits=false@ qu.3.3.part.4.question=(Unset)@ qu.3.3.part.4.mode=Numeric@ qu.3.3.part.4.grading=exact_value@ qu.3.3.part.4.negStyle=minus@ qu.3.3.part.4.answer.num=$o4@ qu.3.3.part.5.name=$o5@ qu.3.3.part.5.answer.units=@ qu.3.3.part.5.numStyle=thousands scientific arithmetic@ qu.3.3.part.5.editing=useHTML@ qu.3.3.part.5.showUnits=false@ qu.3.3.part.5.question=(Unset)@ qu.3.3.part.5.mode=Numeric@ qu.3.3.part.5.grading=exact_value@ qu.3.3.part.5.negStyle=minus@ qu.3.3.part.5.answer.num=$o5@ qu.3.3.question=

Construct a table of values for the function y = ${$m}x2

Input   Output
-4
  <1>
-2
  <2>
0
  <3>
2
  <4>
4
  <5>
@ qu.3.4.mode=Inline@ qu.3.4.name=y = m x^2@ qu.3.4.comment=
Input   Output
-4
  y = ($m)(-4)2 = $o1
-2
  y = ($m)(-2)2 = $o2
0
  y = ($m)(0)2 = $o3
2
  y = ($m)(2)2 = $o4
4
  y = ($m)(4)2 = $o5
@ qu.3.4.editing=useHTML@ qu.3.4.algorithm=$m=range(2,5,1); $negm=-1*$m; $b=range(1,6,1); $o1=16*$m; $o2=4*$m; $o3=0; $o4=4*$m; $o5=16*$m;@ qu.3.4.weighting=1,1,1,1,1@ qu.3.4.numbering=alpha@ qu.3.4.part.1.name=$o1@ qu.3.4.part.1.answer.units=@ qu.3.4.part.1.numStyle=thousands scientific arithmetic@ qu.3.4.part.1.editing=useHTML@ qu.3.4.part.1.showUnits=false@ qu.3.4.part.1.question=(Unset)@ qu.3.4.part.1.mode=Numeric@ qu.3.4.part.1.grading=exact_value@ qu.3.4.part.1.negStyle=minus@ qu.3.4.part.1.answer.num=$o1@ qu.3.4.part.2.name=$o2@ qu.3.4.part.2.answer.units=@ qu.3.4.part.2.numStyle=thousands scientific arithmetic@ qu.3.4.part.2.editing=useHTML@ qu.3.4.part.2.showUnits=false@ qu.3.4.part.2.question=(Unset)@ qu.3.4.part.2.mode=Numeric@ qu.3.4.part.2.grading=exact_value@ qu.3.4.part.2.negStyle=minus@ qu.3.4.part.2.answer.num=$o2@ qu.3.4.part.3.name=$o3@ qu.3.4.part.3.answer.units=@ qu.3.4.part.3.numStyle=thousands scientific arithmetic@ qu.3.4.part.3.editing=useHTML@ qu.3.4.part.3.showUnits=false@ qu.3.4.part.3.question=(Unset)@ qu.3.4.part.3.mode=Numeric@ qu.3.4.part.3.grading=exact_value@ qu.3.4.part.3.negStyle=minus@ qu.3.4.part.3.answer.num=$o3@ qu.3.4.part.4.name=$o4@ qu.3.4.part.4.answer.units=@ qu.3.4.part.4.numStyle=thousands scientific arithmetic@ qu.3.4.part.4.editing=useHTML@ qu.3.4.part.4.showUnits=false@ qu.3.4.part.4.question=(Unset)@ qu.3.4.part.4.mode=Numeric@ qu.3.4.part.4.grading=exact_value@ qu.3.4.part.4.negStyle=minus@ qu.3.4.part.4.answer.num=$o4@ qu.3.4.part.5.name=$o5@ qu.3.4.part.5.answer.units=@ qu.3.4.part.5.numStyle=thousands scientific arithmetic@ qu.3.4.part.5.editing=useHTML@ qu.3.4.part.5.showUnits=false@ qu.3.4.part.5.question=(Unset)@ qu.3.4.part.5.mode=Numeric@ qu.3.4.part.5.grading=exact_value@ qu.3.4.part.5.negStyle=minus@ qu.3.4.part.5.answer.num=$o5@ qu.3.4.question=

Construct a table of values for the function y = ${$m}x2

Input   Output
-4
  <1>
-2
  <2>
0
  <3>
2
  <4>
4
  <5>
@ qu.4.topic=11_1 Write Function Rule A@ qu.4.1.mode=Equation@ qu.4.1.name=y=mx+b step 1 m+@ qu.4.1.comment=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}

The change in the output is constant. Write a rule in the form of y = ax + b.

a =
change in output
 = 
${$m*($x+$s)+$b} - ${$m*$x+$b}
 = 
${$m*$s}
 = $m
change in input
${$x+$s} -  $x
$s
y = ${$m}x + b
Choose the pair ($x, ${$m*$x+$b}) to solve for b.
${$m*$x+$b} = ${$m}($x) + b
b = $b
The function rule is y = ${$m}x + $b
@ qu.4.1.editing=useHTML@ qu.4.1.algorithm=$x=1; $s=1; $m=range(2,5,1); $b=range(3,8,1);@ qu.4.1.question=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}
@ qu.4.1.answer=y=${$m}x + $b@ qu.4.2.mode=Equation@ qu.4.2.name=y=mx+b step 1 m-@ qu.4.2.comment=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}

The change in the output is constant. Write a rule in the form of y = ax + b.

a =
change in output
 = 
${$m*($x+$s)+$b} - ${$m*$x+$b}
 = 
${$m*$s}
 = $m
change in input
${$x+$s} -  $x
$s
y = ${$m}x + b
Choose the pair ($x, ${$m*$x+$b}) to solve for b.
${$m*$x+$b} = ${$m}($x) + b
b = $b
The function rule is y = ${$m}x + $b
@ qu.4.2.editing=useHTML@ qu.4.2.algorithm=$x=1; $s=1; $m=-1*range(2,5,1); $b=range(3,8,1);@ qu.4.2.question=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}
@ qu.4.2.answer=y=${$m}x + $b@ qu.4.3.mode=Equation@ qu.4.3.name=y=mx-b step 1 m+@ qu.4.3.comment=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}

The change in the output is constant. Write a rule in the form of y = ax + b.

a =
change in output
 = 
${$m*($x+$s)+$b} - ${$m*$x+$b}
 = 
${$m*$s}
 = $m
change in input
${$x+$s} -  $x
$s
y = ${$m}x + b
Choose the pair ($x, ${$m*$x+$b}) to solve for b.
${$m*$x+$b} = ${$m}($x) + b
b = $b
The function rule is y = ${$m}x - ${abs($b)}
@ qu.4.3.editing=useHTML@ qu.4.3.algorithm=$x=1; $s=1; $m=range(2,5,1); $b=-1*range(3,8,1);@ qu.4.3.question=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}
@ qu.4.3.answer=y=${$m}x - ${abs($b)}@ qu.4.4.mode=Equation@ qu.4.4.name=y=mx-b step 1 m-@ qu.4.4.comment=

Write a function rule that relates x and y.

Input x
$x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y
${$m*$x+$b}
${$m*($x+$s)+$b}
${$m*($x+2*$s)+$b}
${$m*($x+3*$s)+$b}

The change in the output is constant. Write a rule in the form of y = ax + b.

a =
change in output
=
${$m*($x+$s)+$b} - ${$m*$x+$b}
=
${$m*$s}
= $m
change in input
${$x+$s} - $x
$s
y = ${$m}x + b
Choose the pair ($x, ${$m*$x+$b}) to solve for b.
${$m*$x+$b} = ${$m}($x) + b
b = $b
The function rule is y = ${$m}x - ${abs($b)}
@ qu.4.4.editing=useHTML@ qu.4.4.algorithm=$x=1; $s=1; $m=-1*range(2,5,1); $b=-1*range(3,8,1);@ qu.4.4.question=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}
@ qu.4.4.answer=y=${$m}x - ${abs($b)}@ qu.5.topic=11_1 Write Function Rule B@ qu.5.1.mode=Equation@ qu.5.1.name=y=mx+b step gt 1 m+@ qu.5.1.comment=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}

The change in the output is constant. Write a rule in the form of y = ax + b.

a =
change in output
 = 
${$m*($x+$s)+$b} - ${$m*$x+$b}
 = 
${$m*$s}
 = $m
change in input
${$x+$s} -  $x
$s
y = ${$m}x + b
Choose the pair ($x, ${$m*$x+$b}) to solve for b.
${$m*$x+$b} = ${$m}($x) + b
b = $b
The function rule is y = ${$m}x + $b
@ qu.5.1.editing=useHTML@ qu.5.1.algorithm=$x=range(-1,1,2);; $s=range(2,4,1); $m=range(2,5,1); $b=range(3,8,1);@ qu.5.1.question=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}
@ qu.5.1.answer=y=${$m}x + $b@ qu.5.2.mode=Equation@ qu.5.2.name=y=mx+b step gt 1 m-@ qu.5.2.comment=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}

The change in the output is constant. Write a rule in the form of y = ax + b.

a =
change in output
 = 
${$m*($x+$s)+$b} - ${$m*$x+$b}
 = 
${$m*$s}
 = $m
change in input
${$x+$s} -  $x
$s
y = ${$m}x + b
Choose the pair ($x, ${$m*$x+$b}) to solve for b.
${$m*$x+$b} = ${$m}($x) + b
b = $b
The function rule is y = ${$m}x + $b
@ qu.5.2.editing=useHTML@ qu.5.2.algorithm=$x=range(-1,1,2);; $s=range(2,4,1); $m=-1*range(2,5,1); $b=range(3,8,1);@ qu.5.2.question=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}
@ qu.5.2.answer=y=${$m}x + $b@ qu.5.3.mode=Equation@ qu.5.3.name=y=mx-b step gt 1 m+@ qu.5.3.comment=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}

The change in the output is constant. Write a rule in the form of y = ax + b.

a =
change in output
 = 
${$m*($x+$s)+$b} - ${$m*$x+$b}
 = 
${$m*$s}
 = $m
change in input
${$x+$s} -  $x
$s
y = ${$m}x + b
Choose the pair ($x, ${$m*$x+$b}) to solve for b.
${$m*$x+$b} = ${$m}($x) + b
b = $b
The function rule is y = ${$m}x - ${abs($b)}
@ qu.5.3.editing=useHTML@ qu.5.3.algorithm=$x=range(-1,1,2);; $s=range(2,4,1); $m=range(2,5,1); $b=-1*range(3,8,1);@ qu.5.3.question=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}
@ qu.5.3.answer=y=${$m}x - ${abs($b)}@ qu.5.4.mode=Equation@ qu.5.4.name=y=mx-b step gt 1 m-@ qu.5.4.comment=

Write a function rule that relates x and y.

Input x
$x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y
${$m*$x+$b}
${$m*($x+$s)+$b}
${$m*($x+2*$s)+$b}
${$m*($x+3*$s)+$b}

The change in the output is constant. Write a rule in the form of y = ax + b.

a =
change in output
=
${$m*($x+$s)+$b} - ${$m*$x+$b}
=
${$m*$s}
= $m
change in input
${$x+$s} - $x
$s
y = ${$m}x + b
Choose the pair ($x, ${$m*$x+$b}) to solve for b.
${$m*$x+$b} = ${$m}($x) + b
b = $b
The function rule is y = ${$m}x - ${abs($b)}
@ qu.5.4.editing=useHTML@ qu.5.4.algorithm=$x=range(-1,1,2);; $s=range(2,4,1); $m=-1*range(2,5,1); $b=-1*range(3,8,1);@ qu.5.4.question=

Write a function rule that relates x and y.

Input x
 $x
${$x+$s}
${$x+2*$s}
${$x+3*$s}
Output y 
 ${$m*$x+$b}
 ${$m*($x+$s)+$b}
 ${$m*($x+2*$s)+$b}
 ${$m*($x+3*$s)+$b}
@ qu.5.4.answer=y=${$m}x - ${abs($b)}@ qu.6.topic=11_2 Relationship@ qu.6.1.mode=Multiple Choice@ qu.6.1.name=pos@ qu.6.1.comment=The graph is increasing from left to right. There is a positive relationship.@ qu.6.1.editing=useHTML@ qu.6.1.question=Determine the relationship between x and y in the scatter plot shown below.
@ qu.6.1.answer=1@ qu.6.1.choice.1=Positive@ qu.6.1.choice.2=Negative@ qu.6.1.choice.3=No Relationship@ qu.6.2.mode=Multiple Choice@ qu.6.2.name=neg@ qu.6.2.comment=The graph is decreasing from left to right. There is a negative relationship.@ qu.6.2.editing=useHTML@ qu.6.2.question=Determine the relationship between x and y in the scatter plot shown below.
@ qu.6.2.answer=2@ qu.6.2.choice.1=Positive@ qu.6.2.choice.2=Negative@ qu.6.2.choice.3=No Relationship@ qu.6.3.mode=Multiple Choice@ qu.6.3.name=none@ qu.6.3.comment=The graph does not have a pattern of increasing or decreasing. There is no relationship between x and y.@ qu.6.3.editing=useHTML@ qu.6.3.question=Determine the relationship between x and y in the scatter plot shown below.
@ qu.6.3.answer=3@ qu.6.3.choice.1=Positive@ qu.6.3.choice.2=Negative@ qu.6.3.choice.3=No Relationship@ qu.7.topic=11_2 Identify Next Ordered Pair A@ qu.7.1.mode=Formula List@ qu.7.1.name=_A@ qu.7.1.comment=The graph is increasing by 2 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.1.editing=useHTML@ qu.7.1.algorithm=$x=6; $y=15;@ qu.7.1.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.1.answer=($x, $y)@ qu.7.2.mode=Formula List@ qu.7.2.name=_B@ qu.7.2.comment=The graph is increasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.2.editing=useHTML@ qu.7.2.algorithm=$x=6; $y=20;@ qu.7.2.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.2.answer=($x, $y)@ qu.7.3.mode=Formula List@ qu.7.3.name=_C@ qu.7.3.comment=The graph is increasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.3.editing=useHTML@ qu.7.3.algorithm=$x=6; $y=19;@ qu.7.3.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.3.answer=($x, $y)@ qu.7.4.mode=Formula List@ qu.7.4.name=_D@ qu.7.4.comment=The graph is increasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.4.editing=useHTML@ qu.7.4.algorithm=$x=6; $y=18;@ qu.7.4.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.4.answer=($x, $y)@ qu.7.5.mode=Formula List@ qu.7.5.name=_E@ qu.7.5.comment=The graph is increasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.5.editing=useHTML@ qu.7.5.algorithm=$x=6; $y=17;@ qu.7.5.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.5.answer=($x, $y)@ qu.7.6.mode=Formula List@ qu.7.6.name=_F@ qu.7.6.comment=The graph is increasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.6.editing=useHTML@ qu.7.6.algorithm=$x=6; $y=16;@ qu.7.6.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.6.answer=($x, $y)@ qu.7.7.mode=Formula List@ qu.7.7.name=_G@ qu.7.7.comment=The graph is increasing by 2 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.7.editing=useHTML@ qu.7.7.algorithm=$x=5; $y=13;@ qu.7.7.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.7.answer=($x, $y)@ qu.7.8.mode=Formula List@ qu.7.8.name=_H@ qu.7.8.comment=The graph is increasing by 2 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.8.editing=useHTML@ qu.7.8.algorithm=$x=5; $y=12;@ qu.7.8.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.8.answer=($x, $y)@ qu.7.9.mode=Formula List@ qu.7.9.name=_I@ qu.7.9.comment=The graph is increasing by 2 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.9.editing=useHTML@ qu.7.9.algorithm=$x=5; $y=11;@ qu.7.9.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.9.answer=($x, $y)@ qu.7.10.mode=Formula List@ qu.7.10.name=_J@ qu.7.10.comment=The graph is increasing by 2 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.10.editing=useHTML@ qu.7.10.algorithm=$x=5; $y=10;@ qu.7.10.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.10.answer=($x, $y)@ qu.7.11.mode=Formula List@ qu.7.11.name=_K@ qu.7.11.comment=The graph is increasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.11.editing=useHTML@ qu.7.11.algorithm=$x=4; $y=19;@ qu.7.11.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.11.answer=($x, $y)@ qu.7.12.mode=Formula List@ qu.7.12.name=_L@ qu.7.12.comment=The graph is increasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.12.editing=useHTML@ qu.7.12.algorithm=$x=4; $y=18;@ qu.7.12.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.12.answer=($x, $y)@ qu.7.13.mode=Formula List@ qu.7.13.name=_M@ qu.7.13.comment=The graph is increasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.13.editing=useHTML@ qu.7.13.algorithm=$x=4; $y=17;@ qu.7.13.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.13.answer=($x, $y)@ qu.7.14.mode=Formula List@ qu.7.14.name=_N@ qu.7.14.comment=The graph is increasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.14.editing=useHTML@ qu.7.14.algorithm=$x=4; $y=16;@ qu.7.14.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.14.answer=($x, $y)@ qu.7.15.mode=Formula List@ qu.7.15.name=_O@ qu.7.15.comment=The graph is increasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.15.editing=useHTML@ qu.7.15.algorithm=$x=4; $y=15;@ qu.7.15.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.15.answer=($x, $y)@ qu.7.16.mode=Formula List@ qu.7.16.name=_P@ qu.7.16.comment=The graph is increasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.16.editing=useHTML@ qu.7.16.algorithm=$x=4; $y=14;@ qu.7.16.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.16.answer=($x, $y)@ qu.7.17.mode=Formula List@ qu.7.17.name=_Q@ qu.7.17.comment=The graph is increasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.7.17.editing=useHTML@ qu.7.17.algorithm=$x=4; $y=13;@ qu.7.17.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.7.17.answer=($x, $y)@ qu.8.topic=11_2 Identify Next Ordered Pair B@ qu.8.1.mode=Formula List@ qu.8.1.name=D_A@ qu.8.1.comment=The graph is decreasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.1.editing=useHTML@ qu.8.1.algorithm=$x=5; $y=7;@ qu.8.1.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.1.answer=($x, $y)@ qu.8.2.mode=Formula List@ qu.8.2.name=D_B@ qu.8.2.comment=The graph is decreasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.2.editing=useHTML@ qu.8.2.algorithm=$x=6; $y=4;@ qu.8.2.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.2.answer=($x, $y)@ qu.8.3.mode=Formula List@ qu.8.3.name=D_C@ qu.8.3.comment=The graph is decreasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.3.editing=useHTML@ qu.8.3.algorithm=$x=6; $y=3;@ qu.8.3.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.3.answer=($x, $y)@ qu.8.4.mode=Formula List@ qu.8.4.name=D_D@ qu.8.4.comment=The graph is decreasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.4.editing=useHTML@ qu.8.4.algorithm=$x=6; $y=2;@ qu.8.4.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.4.answer=($x, $y)@ qu.8.5.mode=Formula List@ qu.8.5.name=D_E@ qu.8.5.comment=The graph is decreasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.5.editing=useHTML@ qu.8.5.algorithm=$x=6; $y=1;@ qu.8.5.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.5.answer=($x, $y)@ qu.8.6.mode=Formula List@ qu.8.6.name=D_F@ qu.8.6.comment=The graph is decreasing by 3 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.6.editing=useHTML@ qu.8.6.algorithm=$x=6; $y=0;@ qu.8.6.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.6.answer=($x, $y)@ qu.8.7.mode=Formula List@ qu.8.7.name=D_G@ qu.8.7.comment=The graph is decreasing by 2 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.7.editing=useHTML@ qu.8.7.algorithm=$x=5; $y=8;@ qu.8.7.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.7.answer=($x, $y)@ qu.8.8.mode=Formula List@ qu.8.8.name=D_H@ qu.8.8.comment=The graph is decreasing by 2 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.8.editing=useHTML@ qu.8.8.algorithm=$x=5; $y=7;@ qu.8.8.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.8.answer=($x, $y)@ qu.8.9.mode=Formula List@ qu.8.9.name=D_I@ qu.8.9.comment=The graph is decreasing by 2 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.9.editing=useHTML@ qu.8.9.algorithm=$x=5; $y=6;@ qu.8.9.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.9.answer=($x, $y)@ qu.8.10.mode=Formula List@ qu.8.10.name=D_J@ qu.8.10.comment=The graph is decreasing by 2 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.10.editing=useHTML@ qu.8.10.algorithm=$x=5; $y=5;@ qu.8.10.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.10.answer=($x, $y)@ qu.8.11.mode=Formula List@ qu.8.11.name=D_K@ qu.8.11.comment=The graph is decreasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.11.editing=useHTML@ qu.8.11.algorithm=$x=4; $y=7;@ qu.8.11.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.11.answer=($x, $y)@ qu.8.12.mode=Formula List@ qu.8.12.name=D_L@ qu.8.12.comment=The graph is decreasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.12.editing=useHTML@ qu.8.12.algorithm=$x=4; $y=6;@ qu.8.12.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.12.answer=($x, $y)@ qu.8.13.mode=Formula List@ qu.8.13.name=D_M@ qu.8.13.comment=The graph is decreasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.13.editing=useHTML@ qu.8.13.algorithm=$x=4; $y=5;@ qu.8.13.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.13.answer=($x, $y)@ qu.8.14.mode=Formula List@ qu.8.14.name=D_N@ qu.8.14.comment=The graph is decreasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.14.editing=useHTML@ qu.8.14.algorithm=$x=4; $y=4;@ qu.8.14.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.14.answer=($x, $y)@ qu.8.15.mode=Formula List@ qu.8.15.name=D_O@ qu.8.15.comment=The graph is decreasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.15.editing=useHTML@ qu.8.15.algorithm=$x=4; $y=3;@ qu.8.15.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.15.answer=($x, $y)@ qu.8.16.mode=Formula List@ qu.8.16.name=D_P@ qu.8.16.comment=The graph is decreasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.16.editing=useHTML@ qu.8.16.algorithm=$x=4; $y=2;@ qu.8.16.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.16.answer=($x, $y)@ qu.8.17.mode=Formula List@ qu.8.17.name=D_Q@ qu.8.17.comment=The graph is decreasing by 4 units in the y direction for every unit in the x direction. The next point will be ($x, $y).@ qu.8.17.editing=useHTML@ qu.8.17.algorithm=$x=4; $y=1;@ qu.8.17.question=Determine the next ordered pair in the scatter plot shown below.
@ qu.8.17.answer=($x, $y)@ qu.9.topic=11_3 Identify Solutions@ qu.9.1.mode=Multiple Selection@ qu.9.1.name=y=mx+b 4 correct@ qu.9.1.comment=

Check the values for y = ${$m}x + $b.

x = $x1 y = ($m)($x1) + $b = ${$m*$x1} + $b = $y1 The value ($x1, $y1) is a solution.
x = $x2 y = ($m)($x2) + $b = ${$m*$x2} + $b = $y2 The value ($x2, $y2) is a solution.
x = $x3 y = ($m)($x3) + $b = ${$m*$x3} + $b = $y3 The value ($x3, $y3) is a solution.
x = $x4 y = ($m)($x4) + $b = ${$m*$x4} + $b = $y4 The value ($x4, $y4) is a solution.
@ qu.9.1.editing=useHTML@ qu.9.1.algorithm=$m=range(2,5,1); $b=range(3,9,1); $x1=-1*range(2,4,1); $x2=range(1,4,1); $x3=range(5,6,1); $x4=range(7,9,1); $y1=$m*$x1+$b; $y2=$m*$x2+$b; $y3=$m*$x3+$b; $y4=$m*$x4+$b;@ qu.9.1.question=Check each ordered pair which is a solution of the equation:
y = ${$m}x + $b
@ qu.9.1.answer=1, 2, 3, 4@ qu.9.1.choice.1=

($x1, $y1) @ qu.9.1.choice.2=

($x2, $y2) @ qu.9.1.choice.3=

($x3, $y3) @ qu.9.1.choice.4=

($x4, $y4) @ qu.9.2.mode=Multiple Selection@ qu.9.2.name=y=mx+b 2 correct@ qu.9.2.comment=
x = $x1 y = ($m)($x1) + $b = ${$m*$x1} + $b = $y1 The value ($x1, $yd1) is a solution.
x = $x2 y = ($m)($x2) + $b = ${$m*$x2} + $b = $y2 The value ($x2, $yd2) is not a solution.
x = $x3 y = ($m)($x3) + $b = ${$m*$x3} + $b = $y3 The value ($x3, $yd3) is a solution.
x = $x4 y = ($m)($x4) + $b = ${$m*$x4} + $b = $y4 The value ($x4, $yd4) is not a solution.
@ qu.9.2.editing=useHTML@ qu.9.2.algorithm=$m=range(2,5,1); $b=range(3,9,1); $x1=-1*range(2,4,1); $x2=range(1,4,1); $x3=range(5,6,1); $x4=range(7,9,1); $y1=$m*$x1+$b; $y2=$m*$x2+$b; $y3=$m*$x3+$b; $y4=$m*$x4+$b; $yd1=$y1; $yd2=$y2+1; $yd3=$y3; $yd4=$y4-1;@ qu.9.2.question=Check each ordered pair which is a solution of the equation:
y = ${$m}x + $b
@ qu.9.2.answer=1, 3@ qu.9.2.choice.1=

($x1, $yd1) @ qu.9.2.choice.2=

($x2, $yd2) @ qu.9.2.choice.3=

($x3, $yd3) @ qu.9.2.choice.4=

($x4, $yd4) @ qu.9.3.mode=Multiple Selection@ qu.9.3.name=y=mx-b 1 correct@ qu.9.3.comment=
x = $x1 y = ($m)($x1) - $b = ${$m*$x1} - $b = $y1 The value ($x1, $yd1) is not a solution.
x = $x2 y = ($m)($x2) - $b = ${$m*$x2} - $b = $y2 The value ($x2, $yd2) is not a solution.
x = $x3 y = ($m)($x3) - $b = ${$m*$x3} - $b = $y3 The value ($x3, $yd3) is a solution.
x = $x4 y = ($m)($x4) - $b = ${$m*$x4} - $b = $y4 The value ($x4, $yd4) is not a solution.
@ qu.9.3.editing=useHTML@ qu.9.3.algorithm=$m=range(2,5,1); $b=range(3,9,1); $x1=-1*range(2,4,1); $x2=range(1,4,1); $x3=range(5,6,1); $x4=range(7,9,1); $y1=$m*$x1-$b; $y2=$m*$x2-$b; $y3=$m*$x3-$b; $y4=$m*$x4-$b; $yd1=$y1-2; $yd2=$y2+1; $yd3=$y3; $yd4=$y4-1;@ qu.9.3.question=Check each ordered pair which is a solution of the equation:
y = ${$m}x - $b
@ qu.9.3.answer=3@ qu.9.3.choice.1=

($x1, $yd1) @ qu.9.3.choice.2=

($x2, $yd2) @ qu.9.3.choice.3=

($x3, $yd3) @ qu.9.3.choice.4=

($x4, $yd4) @ qu.9.4.mode=Multiple Selection@ qu.9.4.name=y=mx-b 3 correct@ qu.9.4.comment=
x = $x1 y = ($m)($x1) - $b = ${$m*$x1} - $b = $y1 The value ($x1, $yd1) is a solution.
x = $x2 y = ($m)($x2) - $b = ${$m*$x2} - $b = $y2 The value ($x2, $yd2) is a solution.
x = $x3 y = ($m)($x3) - $b = ${$m*$x3} - $b = $y3 The value ($x3, $yd3) is not a solution.
x = $x4 y = ($m)($x4) - $b = ${$m*$x4} - $b = $y4 The value ($x4, $yd4) is a solution.
@ qu.9.4.editing=useHTML@ qu.9.4.algorithm=$m=range(2,5,1); $b=range(3,9,1); $x1=-1*range(2,4,1); $x2=range(1,4,1); $x3=range(5,6,1); $x4=range(7,9,1); $y1=$m*$x1-$b; $y2=$m*$x2-$b; $y3=$m*$x3-$b; $y4=$m*$x4-$b; $yd1=$y1; $yd2=$y2; $yd3=$y3-1; $yd4=$y4;@ qu.9.4.question=Check each ordered pair which is a solution of the equation:
y = ${$m}x - $b
@ qu.9.4.answer=1, 2, 4@ qu.9.4.choice.1=

($x1, $yd1) @ qu.9.4.choice.2=

($x2, $yd2) @ qu.9.4.choice.3=

($x3, $yd3) @ qu.9.4.choice.4=

($x4, $yd4) @ qu.9.5.mode=Multiple Selection@ qu.9.5.name=y=b-mx 4 correct@ qu.9.5.comment=
x = $x1 y =$b - ($posm)($x1) = $b - (${$posm*$x1}) = $y1 The value ($x1, $y1) is a solution.
x = $x2 y =$b - ($posm)($x2) = $b - ${$posm*$x2} = $y2 The value ($x2, $y2) is a solution.
x = $x3 y =$b - ($posm)($x3) = $b - ${$posm*$x3} = $y3 The value ($x3, $y3) is a solution.
x = $x4 y =$b - ($posm)($x4) = $b - ${$posm*$x4} = $y4 The value ($x4, $y4) is a solution.
@ qu.9.5.editing=useHTML@ qu.9.5.algorithm=$m=-1*range(2,5,1); $posm=abs($m); $b=range(3,9,1); $x1=-1*range(2,4,1); $x2=range(1,4,1); $x3=range(5,6,1); $x4=range(7,9,1); $y1=$m*$x1+$b; $y2=$m*$x2+$b; $y3=$m*$x3+$b; $y4=$m*$x4+$b;@ qu.9.5.question=Check each ordered pair which is a solution of the equation:
y = $b - ${$posm}x
@ qu.9.5.answer=1, 2, 3, 4@ qu.9.5.choice.1=

($x1, $y1) @ qu.9.5.choice.2=

($x2, $y2) @ qu.9.5.choice.3=

($x3, $y3) @ qu.9.5.choice.4=

($x4, $y4) @ qu.9.6.mode=Multiple Selection@ qu.9.6.name=y=b-mx 2 correct@ qu.9.6.comment=
x = $x1 y =$b - ($posm)($x1) = $b - (${$posm*$x1}) = $y1 The value ($x1, $yd1) is a solution.
x = $x2 y =$b - ($posm)($x2) = $b - ${$posm*$x2} = $y2 The value ($x2, $yd2) is not a solution.
x = $x3 y =$b - ($posm)($x3) = $b - ${$posm*$x3} = $y3 The value ($x3, $yd3) is a solution.
x = $x4 y =$b - ($posm)($x4) = $b - ${$posm*$x4} = $y4 The value ($x4, $yd4) is not a solution.
@ qu.9.6.editing=useHTML@ qu.9.6.algorithm=$m=-1*range(2,5,1); $posm=abs($m); $b=range(3,9,1); $x1=-1*range(2,4,1); $x2=range(1,4,1); $x3=range(5,6,1); $x4=range(7,9,1); $y1=$m*$x1+$b; $y2=$m*$x2+$b; $y3=$m*$x3+$b; $y4=$m*$x4+$b; $yd1=$y1; $yd2=$y2+1; $yd3=$y3; $yd4=$y4-1;@ qu.9.6.question=Check each ordered pair which is a solution of the equation:
y = $b - ${$posm}x
@ qu.9.6.answer=1, 3@ qu.9.6.choice.1=

($x1, $yd1) @ qu.9.6.choice.2=

($x2, $yd2) @ qu.9.6.choice.3=

($x3, $yd3) @ qu.9.6.choice.4=

($x4, $yd4) @ qu.10.topic=11_3 Complete 5 Ordered Pairs@ qu.10.1.mode=Inline@ qu.10.1.name=y = mx + b@ qu.10.1.comment=
Input   Output Ordered Pair
-4
  y = ($m)(-4) + $b = $o1
(-4, $o1)
-2
  y = ($m)(-2) + $b = $o2
(-2, $o2)
0
  y = ($m)(0) + $b = $o3
(0, $o3)
2
  y = ($m)(2) + $b = $o4
(2, $o4)
4
  y = ($m)(4) + $b = $o5
(4, $o5)
@ qu.10.1.editing=useHTML@ qu.10.1.algorithm=$m=range(2,5,1); $b=range(1,6,1); $o1=-4*$m+$b; $o2=-2*$m+$b; $o3=$b; $o4=2*$m+$b; $o5=4*$m+$b; $null=null; $mx=null;@ qu.10.1.weighting=1,1,1,1,1@ qu.10.1.numbering=alpha@ qu.10.1.part.1.name=$o1@ qu.10.1.part.1.answer.units=@ qu.10.1.part.1.numStyle=thousands scientific arithmetic@ qu.10.1.part.1.editing=useHTML@ qu.10.1.part.1.showUnits=false@ qu.10.1.part.1.question=(Unset)@ qu.10.1.part.1.mode=Numeric@ qu.10.1.part.1.grading=exact_value@ qu.10.1.part.1.negStyle=minus@ qu.10.1.part.1.answer.num=$o1@ qu.10.1.part.2.name=$o2@ qu.10.1.part.2.answer.units=@ qu.10.1.part.2.numStyle=thousands scientific arithmetic@ qu.10.1.part.2.editing=useHTML@ qu.10.1.part.2.showUnits=false@ qu.10.1.part.2.question=(Unset)@ qu.10.1.part.2.mode=Numeric@ qu.10.1.part.2.grading=exact_value@ qu.10.1.part.2.negStyle=minus@ qu.10.1.part.2.answer.num=$o2@ qu.10.1.part.3.name=$o3@ qu.10.1.part.3.answer.units=@ qu.10.1.part.3.numStyle=thousands scientific arithmetic@ qu.10.1.part.3.editing=useHTML@ qu.10.1.part.3.showUnits=false@ qu.10.1.part.3.question=(Unset)@ qu.10.1.part.3.mode=Numeric@ qu.10.1.part.3.grading=exact_value@ qu.10.1.part.3.negStyle=minus@ qu.10.1.part.3.answer.num=$o3@ qu.10.1.part.4.name=$o4@ qu.10.1.part.4.answer.units=@ qu.10.1.part.4.numStyle=thousands scientific arithmetic@ qu.10.1.part.4.editing=useHTML@ qu.10.1.part.4.showUnits=false@ qu.10.1.part.4.question=(Unset)@ qu.10.1.part.4.mode=Numeric@ qu.10.1.part.4.grading=exact_value@ qu.10.1.part.4.negStyle=minus@ qu.10.1.part.4.answer.num=$o4@ qu.10.1.part.5.name=$o5@ qu.10.1.part.5.answer.units=@ qu.10.1.part.5.numStyle=thousands scientific arithmetic@ qu.10.1.part.5.editing=useHTML@ qu.10.1.part.5.showUnits=false@ qu.10.1.part.5.question=(Unset)@ qu.10.1.part.5.mode=Numeric@ qu.10.1.part.5.grading=exact_value@ qu.10.1.part.5.negStyle=minus@ qu.10.1.part.5.answer.num=$o5@ qu.10.1.question=

Complete the ordered pairs for for the function y = ${$m}x + $b

(-4, <1>)
(-2, <2>)
(0, <3>)
(2, <4>)
(4, <5>)

@ qu.10.2.mode=Inline@ qu.10.2.name=mx +y = b@ qu.10.2.comment=

${$negm}x + y = $b
Solve for y.
y = ${$m}x + $b

Input   Output Ordered Pair
-4
  y = ($m)(-4) + $b = $o1
(-4, $o1)
-2
  y = ($m)(-2) + $b = $o2
(-2, $o2)
0
  y = ($m)(0) + $b = $o3
(0, $o3)
2
  y = ($m)(2) + $b = $o4
(2, $o4)
4
  y = ($m)(4) + $b = $o5
(4, $o5)
@ qu.10.2.editing=useHTML@ qu.10.2.algorithm=$m=-1*range(2,5,1); $negm=-1*$m; $b=range(1,6,1); $o1=-4*$m+$b; $o2=-2*$m+$b; $o3=$b; $o4=2*$m+$b; $o5=4*$m+$b;@ qu.10.2.weighting=1,1,1,1,1@ qu.10.2.numbering=alpha@ qu.10.2.part.1.name=$o1@ qu.10.2.part.1.answer.units=@ qu.10.2.part.1.numStyle=thousands scientific arithmetic@ qu.10.2.part.1.editing=useHTML@ qu.10.2.part.1.showUnits=false@ qu.10.2.part.1.question=(Unset)@ qu.10.2.part.1.mode=Numeric@ qu.10.2.part.1.grading=exact_value@ qu.10.2.part.1.negStyle=minus@ qu.10.2.part.1.answer.num=$o1@ qu.10.2.part.2.name=$o2@ qu.10.2.part.2.answer.units=@ qu.10.2.part.2.numStyle=thousands scientific arithmetic@ qu.10.2.part.2.editing=useHTML@ qu.10.2.part.2.showUnits=false@ qu.10.2.part.2.question=(Unset)@ qu.10.2.part.2.mode=Numeric@ qu.10.2.part.2.grading=exact_value@ qu.10.2.part.2.negStyle=minus@ qu.10.2.part.2.answer.num=$o2@ qu.10.2.part.3.name=$o3@ qu.10.2.part.3.answer.units=@ qu.10.2.part.3.numStyle=thousands scientific arithmetic@ qu.10.2.part.3.editing=useHTML@ qu.10.2.part.3.showUnits=false@ qu.10.2.part.3.question=(Unset)@ qu.10.2.part.3.mode=Numeric@ qu.10.2.part.3.grading=exact_value@ qu.10.2.part.3.negStyle=minus@ qu.10.2.part.3.answer.num=$o3@ qu.10.2.part.4.name=$o4@ qu.10.2.part.4.answer.units=@ qu.10.2.part.4.numStyle=thousands scientific arithmetic@ qu.10.2.part.4.editing=useHTML@ qu.10.2.part.4.showUnits=false@ qu.10.2.part.4.question=(Unset)@ qu.10.2.part.4.mode=Numeric@ qu.10.2.part.4.grading=exact_value@ qu.10.2.part.4.negStyle=minus@ qu.10.2.part.4.answer.num=$o4@ qu.10.2.part.5.name=$o5@ qu.10.2.part.5.answer.units=@ qu.10.2.part.5.numStyle=thousands scientific arithmetic@ qu.10.2.part.5.editing=useHTML@ qu.10.2.part.5.showUnits=false@ qu.10.2.part.5.question=(Unset)@ qu.10.2.part.5.mode=Numeric@ qu.10.2.part.5.grading=exact_value@ qu.10.2.part.5.negStyle=minus@ qu.10.2.part.5.answer.num=$o5@ qu.10.2.question=

Complete the ordered pairs for for the function ${$negm}x + y = $b

(-4, <1>)
(-2, <2>)
(0, <3>)
(2, <4>)
(4, <5>)

@ qu.10.3.mode=Inline@ qu.10.3.name=y = -m x^2@ qu.10.3.comment=
Input   Output Ordered Pair
-4
  y = ($m)(-4)2 = $o1
(-4, $o1)
-2
  y = ($m)(-2)2 = $o2
(-2, $o2)
0
  y = ($m)(0)2 = $o3
(0, $o3)
2
  y = ($m)(2)2 = $o4
(2, $o4)
4
  y = ($m)(4)2 = $o5
(4, $o5)
@ qu.10.3.editing=useHTML@ qu.10.3.algorithm=$m=-1*range(2,5,1); $negm=-1*$m; $b=range(1,6,1); $o1=16*$m; $o2=4*$m; $o3=0; $o4=4*$m; $o5=16*$m;@ qu.10.3.weighting=1,1,1,1,1@ qu.10.3.numbering=alpha@ qu.10.3.part.1.name=$o1@ qu.10.3.part.1.answer.units=@ qu.10.3.part.1.numStyle=thousands scientific arithmetic@ qu.10.3.part.1.editing=useHTML@ qu.10.3.part.1.showUnits=false@ qu.10.3.part.1.question=(Unset)@ qu.10.3.part.1.mode=Numeric@ qu.10.3.part.1.grading=exact_value@ qu.10.3.part.1.negStyle=minus@ qu.10.3.part.1.answer.num=$o1@ qu.10.3.part.2.name=$o2@ qu.10.3.part.2.answer.units=@ qu.10.3.part.2.numStyle=thousands scientific arithmetic@ qu.10.3.part.2.editing=useHTML@ qu.10.3.part.2.showUnits=false@ qu.10.3.part.2.question=(Unset)@ qu.10.3.part.2.mode=Numeric@ qu.10.3.part.2.grading=exact_value@ qu.10.3.part.2.negStyle=minus@ qu.10.3.part.2.answer.num=$o2@ qu.10.3.part.3.name=$o3@ qu.10.3.part.3.answer.units=@ qu.10.3.part.3.numStyle=thousands scientific arithmetic@ qu.10.3.part.3.editing=useHTML@ qu.10.3.part.3.showUnits=false@ qu.10.3.part.3.question=(Unset)@ qu.10.3.part.3.mode=Numeric@ qu.10.3.part.3.grading=exact_value@ qu.10.3.part.3.negStyle=minus@ qu.10.3.part.3.answer.num=$o3@ qu.10.3.part.4.name=$o4@ qu.10.3.part.4.answer.units=@ qu.10.3.part.4.numStyle=thousands scientific arithmetic@ qu.10.3.part.4.editing=useHTML@ qu.10.3.part.4.showUnits=false@ qu.10.3.part.4.question=(Unset)@ qu.10.3.part.4.mode=Numeric@ qu.10.3.part.4.grading=exact_value@ qu.10.3.part.4.negStyle=minus@ qu.10.3.part.4.answer.num=$o4@ qu.10.3.part.5.name=$o5@ qu.10.3.part.5.answer.units=@ qu.10.3.part.5.numStyle=thousands scientific arithmetic@ qu.10.3.part.5.editing=useHTML@ qu.10.3.part.5.showUnits=false@ qu.10.3.part.5.question=(Unset)@ qu.10.3.part.5.mode=Numeric@ qu.10.3.part.5.grading=exact_value@ qu.10.3.part.5.negStyle=minus@ qu.10.3.part.5.answer.num=$o5@ qu.10.3.question=

Complete the ordered pairs for for the function y = ${$m}x2

(-4, <1>)
(-2, <2>)
(0, <3>)
(2, <4>)
(4, <5>)

@ qu.10.4.mode=Inline@ qu.10.4.name=y = m x^2@ qu.10.4.comment=
Input   Output Ordered Pair
-4
  y = ($m)(-4)2 = $o1
(-4, $o1)
-2
  y = ($m)(-2)2 = $o2
(-2, $o2)
0
  y = ($m)(0)2 = $o3
(0, $o3)
2
  y = ($m)(2)2 = $o4
(2, $o4)
4
  y = ($m)(4)2 = $o5
(4, $o5)
@ qu.10.4.editing=useHTML@ qu.10.4.algorithm=$m=range(2,5,1); $negm=-1*$m; $b=range(1,6,1); $o1=16*$m; $o2=4*$m; $o3=0; $o4=4*$m; $o5=16*$m;@ qu.10.4.weighting=1,1,1,1,1@ qu.10.4.numbering=alpha@ qu.10.4.part.1.name=$o1@ qu.10.4.part.1.answer.units=@ qu.10.4.part.1.numStyle=thousands scientific arithmetic@ qu.10.4.part.1.editing=useHTML@ qu.10.4.part.1.showUnits=false@ qu.10.4.part.1.question=(Unset)@ qu.10.4.part.1.mode=Numeric@ qu.10.4.part.1.grading=exact_value@ qu.10.4.part.1.negStyle=minus@ qu.10.4.part.1.answer.num=$o1@ qu.10.4.part.2.name=$o2@ qu.10.4.part.2.answer.units=@ qu.10.4.part.2.numStyle=thousands scientific arithmetic@ qu.10.4.part.2.editing=useHTML@ qu.10.4.part.2.showUnits=false@ qu.10.4.part.2.question=(Unset)@ qu.10.4.part.2.mode=Numeric@ qu.10.4.part.2.grading=exact_value@ qu.10.4.part.2.negStyle=minus@ qu.10.4.part.2.answer.num=$o2@ qu.10.4.part.3.name=$o3@ qu.10.4.part.3.answer.units=@ qu.10.4.part.3.numStyle=thousands scientific arithmetic@ qu.10.4.part.3.editing=useHTML@ qu.10.4.part.3.showUnits=false@ qu.10.4.part.3.question=(Unset)@ qu.10.4.part.3.mode=Numeric@ qu.10.4.part.3.grading=exact_value@ qu.10.4.part.3.negStyle=minus@ qu.10.4.part.3.answer.num=$o3@ qu.10.4.part.4.name=$o4@ qu.10.4.part.4.answer.units=@ qu.10.4.part.4.numStyle=thousands scientific arithmetic@ qu.10.4.part.4.editing=useHTML@ qu.10.4.part.4.showUnits=false@ qu.10.4.part.4.question=(Unset)@ qu.10.4.part.4.mode=Numeric@ qu.10.4.part.4.grading=exact_value@ qu.10.4.part.4.negStyle=minus@ qu.10.4.part.4.answer.num=$o4@ qu.10.4.part.5.name=$o5@ qu.10.4.part.5.answer.units=@ qu.10.4.part.5.numStyle=thousands scientific arithmetic@ qu.10.4.part.5.editing=useHTML@ qu.10.4.part.5.showUnits=false@ qu.10.4.part.5.question=(Unset)@ qu.10.4.part.5.mode=Numeric@ qu.10.4.part.5.grading=exact_value@ qu.10.4.part.5.negStyle=minus@ qu.10.4.part.5.answer.num=$o5@ qu.10.4.question=

Complete the ordered pairs for for the function y = ${$m}x2

(-4, <1>)
(-2, <2>)
(0, <3>)
(2, <4>)
(4, <5>)

@ qu.11.topic=11_4 Complete Ordered Pairs-Graph A@ qu.11.1.mode=Inline@ qu.11.1.name=y = x+3@ qu.11.1.comment=
Input   Output Ordered Pair
$x1
  y = ($m)($x1) + $b = $y1
($x1, $y1)
$x2
  y = ($m)($x2) + $b = $y2
($x2, $y2)
$x3
  y = ($m)($x3) + $b = $y3
($x3, $y3)
$x4
  y = ($m)($x4) + $b = $y4
($x4, $y4)
$x5
  y = ($m)($x5) + $b = $y5
($x5, $y5)
The correct graph is:
@ qu.11.1.editing=useHTML@ qu.11.1.algorithm=$m=1; $b=3; $x1=-2; $x2=-1; $x3=0; $x4=1; $x5=2; $y1=$m*$x1+$b; $y2=$m*$x2+$b; $y3=$m*$x3+$b; $y4=$m*$x4+$b; $y5=$m*$x5+$b;@ qu.11.1.weighting=1,1,1,1,1,1@ qu.11.1.numbering=alpha@ qu.11.1.part.1.name=$y1@ qu.11.1.part.1.answer.units=@ qu.11.1.part.1.numStyle=thousands scientific arithmetic@ qu.11.1.part.1.editing=useHTML@ qu.11.1.part.1.showUnits=false@ qu.11.1.part.1.question=(Unset)@ qu.11.1.part.1.mode=Numeric@ qu.11.1.part.1.grading=exact_value@ qu.11.1.part.1.negStyle=minus@ qu.11.1.part.1.answer.num=$y1@ qu.11.1.part.2.name=$y2@ qu.11.1.part.2.answer.units=@ qu.11.1.part.2.numStyle=thousands scientific arithmetic@ qu.11.1.part.2.editing=useHTML@ qu.11.1.part.2.showUnits=false@ qu.11.1.part.2.question=(Unset)@ qu.11.1.part.2.mode=Numeric@ qu.11.1.part.2.grading=exact_value@ qu.11.1.part.2.negStyle=minus@ qu.11.1.part.2.answer.num=$y2@ qu.11.1.part.3.name=$y3@ qu.11.1.part.3.answer.units=@ qu.11.1.part.3.numStyle=thousands scientific arithmetic@ qu.11.1.part.3.editing=useHTML@ qu.11.1.part.3.showUnits=false@ qu.11.1.part.3.question=(Unset)@ qu.11.1.part.3.mode=Numeric@ qu.11.1.part.3.grading=exact_value@ qu.11.1.part.3.negStyle=minus@ qu.11.1.part.3.answer.num=$y3@ qu.11.1.part.4.name=$y4@ qu.11.1.part.4.answer.units=@ qu.11.1.part.4.numStyle=thousands scientific arithmetic@ qu.11.1.part.4.editing=useHTML@ qu.11.1.part.4.showUnits=false@ qu.11.1.part.4.question=(Unset)@ qu.11.1.part.4.mode=Numeric@ qu.11.1.part.4.grading=exact_value@ qu.11.1.part.4.negStyle=minus@ qu.11.1.part.4.answer.num=$y4@ qu.11.1.part.5.name=$y5@ qu.11.1.part.5.answer.units=@ qu.11.1.part.5.numStyle=thousands scientific arithmetic@ qu.11.1.part.5.editing=useHTML@ qu.11.1.part.5.showUnits=false@ qu.11.1.part.5.question=(Unset)@ qu.11.1.part.5.mode=Numeric@ qu.11.1.part.5.grading=exact_value@ qu.11.1.part.5.negStyle=minus@ qu.11.1.part.5.answer.num=$y5@ qu.11.1.part.6.name=graph@ qu.11.1.part.6.editing=useHTML@ qu.11.1.part.6.choice.4=@ qu.11.1.part.6.question=null@ qu.11.1.part.6.choice.3=@ qu.11.1.part.6.choice.2=@ qu.11.1.part.6.choice.1=@ qu.11.1.part.6.mode=Multiple Choice@ qu.11.1.part.6.display=vertical@ qu.11.1.part.6.answer=1@ qu.11.1.question=

Make a table of values for y = x + 3

(-2, <1>)

(-1, <2>)

(0, <3>)

(1, <4>)

(2, <5>)

Match the ordered pairs to the graph.

<6>

@ qu.11.2.mode=Inline@ qu.11.2.name=y = x-3@ qu.11.2.comment=
Input   Output Ordered Pair
$x1
  y = ($m)($x1) - ${abs($b)} = $y1
($x1, $y1)
$x2
  y = ($m)($x2) - ${abs($b)} = $y2
($x2, $y2)
$x3
  y = ($m)($x3) - ${abs($b)} = $y3
($x3, $y3)
$x4
  y = ($m)($x4) - ${abs($b)} = $y4
($x4, $y4)
$x5
  y = ($m)($x5) - ${abs($b)} = $y5
($x5, $y5)
The correct graph is:
@ qu.11.2.editing=useHTML@ qu.11.2.algorithm=$m=1; $b=-3; $x1=-2; $x2=-1; $x3=0; $x4=1; $x5=2; $y1=$m*$x1+$b; $y2=$m*$x2+$b; $y3=$m*$x3+$b; $y4=$m*$x4+$b; $y5=$m*$x5+$b;@ qu.11.2.weighting=1,1,1,1,1,1@ qu.11.2.numbering=alpha@ qu.11.2.part.1.name=$y1@ qu.11.2.part.1.answer.units=@ qu.11.2.part.1.numStyle=thousands scientific arithmetic@ qu.11.2.part.1.editing=useHTML@ qu.11.2.part.1.showUnits=false@ qu.11.2.part.1.question=(Unset)@ qu.11.2.part.1.mode=Numeric@ qu.11.2.part.1.grading=exact_value@ qu.11.2.part.1.negStyle=minus@ qu.11.2.part.1.answer.num=$y1@ qu.11.2.part.2.name=$y2@ qu.11.2.part.2.answer.units=@ qu.11.2.part.2.numStyle=thousands scientific arithmetic@ qu.11.2.part.2.editing=useHTML@ qu.11.2.part.2.showUnits=false@ qu.11.2.part.2.question=(Unset)@ qu.11.2.part.2.mode=Numeric@ qu.11.2.part.2.grading=exact_value@ qu.11.2.part.2.negStyle=minus@ qu.11.2.part.2.answer.num=$y2@ qu.11.2.part.3.name=$y3@ qu.11.2.part.3.answer.units=@ qu.11.2.part.3.numStyle=thousands scientific arithmetic@ qu.11.2.part.3.editing=useHTML@ qu.11.2.part.3.showUnits=false@ qu.11.2.part.3.question=(Unset)@ qu.11.2.part.3.mode=Numeric@ qu.11.2.part.3.grading=exact_value@ qu.11.2.part.3.negStyle=minus@ qu.11.2.part.3.answer.num=$y3@ qu.11.2.part.4.name=$y4@ qu.11.2.part.4.answer.units=@ qu.11.2.part.4.numStyle=thousands scientific arithmetic@ qu.11.2.part.4.editing=useHTML@ qu.11.2.part.4.showUnits=false@ qu.11.2.part.4.question=(Unset)@ qu.11.2.part.4.mode=Numeric@ qu.11.2.part.4.grading=exact_value@ qu.11.2.part.4.negStyle=minus@ qu.11.2.part.4.answer.num=$y4@ qu.11.2.part.5.name=$y5@ qu.11.2.part.5.answer.units=@ qu.11.2.part.5.numStyle=thousands scientific arithmetic@ qu.11.2.part.5.editing=useHTML@ qu.11.2.part.5.showUnits=false@ qu.11.2.part.5.question=(Unset)@ qu.11.2.part.5.mode=Numeric@ qu.11.2.part.5.grading=exact_value@ qu.11.2.part.5.negStyle=minus@ qu.11.2.part.5.answer.num=$y5@ qu.11.2.part.6.name=graph@ qu.11.2.part.6.editing=useHTML@ qu.11.2.part.6.choice.4=@ qu.11.2.part.6.question=null@ qu.11.2.part.6.choice.3=@ qu.11.2.part.6.choice.2=@ qu.11.2.part.6.choice.1=@ qu.11.2.part.6.mode=Multiple Choice@ qu.11.2.part.6.display=vertical@ qu.11.2.part.6.answer=3@ qu.11.2.question=

Make a table of values for y = x - 3

(-2, <1>)

(-1, <2>)

(0, <3>)

(1, <4>)

(2, <5>)

Match the ordered pairs to the graph.

<6>

@ qu.11.3.mode=Inline@ qu.11.3.name=y = -x-6@ qu.11.3.comment=
Input   Output Ordered Pair
$x1
  y = ($m)($x1) - ${abs($b)} = $y1
($x1, $y1)
$x2
  y = ($m)($x2) - ${abs($b)} = $y2
($x2, $y2)
$x3
  y = ($m)($x3) - ${abs($b)} = $y3
($x3, $y3)
$x4
  y = ($m)($x4) - ${abs($b)} = $y4
($x4, $y4)
$x5
  y = ($m)($x5) - ${abs($b)} = $y5
($x5, $y5)
The correct graph is:
@ qu.11.3.editing=useHTML@ qu.11.3.algorithm=$m=-1; $b=-6; $x1=-2; $x2=-1; $x3=0; $x4=1; $x5=2; $y1=$m*$x1+$b; $y2=$m*$x2+$b; $y3=$m*$x3+$b; $y4=$m*$x4+$b; $y5=$m*$x5+$b;@ qu.11.3.weighting=1,1,1,1,1,1@ qu.11.3.numbering=alpha@ qu.11.3.part.1.name=$y1@ qu.11.3.part.1.answer.units=@ qu.11.3.part.1.numStyle=thousands scientific arithmetic@ qu.11.3.part.1.editing=useHTML@ qu.11.3.part.1.showUnits=false@ qu.11.3.part.1.question=(Unset)@ qu.11.3.part.1.mode=Numeric@ qu.11.3.part.1.grading=exact_value@ qu.11.3.part.1.negStyle=minus@ qu.11.3.part.1.answer.num=$y1@ qu.11.3.part.2.name=$y2@ qu.11.3.part.2.answer.units=@ qu.11.3.part.2.numStyle=thousands scientific arithmetic@ qu.11.3.part.2.editing=useHTML@ qu.11.3.part.2.showUnits=false@ qu.11.3.part.2.question=(Unset)@ qu.11.3.part.2.mode=Numeric@ qu.11.3.part.2.grading=exact_value@ qu.11.3.part.2.negStyle=minus@ qu.11.3.part.2.answer.num=$y2@ qu.11.3.part.3.name=$y3@ qu.11.3.part.3.answer.units=@ qu.11.3.part.3.numStyle=thousands scientific arithmetic@ qu.11.3.part.3.editing=useHTML@ qu.11.3.part.3.showUnits=false@ qu.11.3.part.3.question=(Unset)@ qu.11.3.part.3.mode=Numeric@ qu.11.3.part.3.grading=exact_value@ qu.11.3.part.3.negStyle=minus@ qu.11.3.part.3.answer.num=$y3@ qu.11.3.part.4.name=$y4@ qu.11.3.part.4.answer.units=@ qu.11.3.part.4.numStyle=thousands scientific arithmetic@ qu.11.3.part.4.editing=useHTML@ qu.11.3.part.4.showUnits=false@ qu.11.3.part.4.question=(Unset)@ qu.11.3.part.4.mode=Numeric@ qu.11.3.part.4.grading=exact_value@ qu.11.3.part.4.negStyle=minus@ qu.11.3.part.4.answer.num=$y4@ qu.11.3.part.5.name=$y5@ qu.11.3.part.5.answer.units=@ qu.11.3.part.5.numStyle=thousands scientific arithmetic@ qu.11.3.part.5.editing=useHTML@ qu.11.3.part.5.showUnits=false@ qu.11.3.part.5.question=(Unset)@ qu.11.3.part.5.mode=Numeric@ qu.11.3.part.5.grading=exact_value@ qu.11.3.part.5.negStyle=minus@ qu.11.3.part.5.answer.num=$y5@ qu.11.3.part.6.name=graph@ qu.11.3.part.6.editing=useHTML@ qu.11.3.part.6.choice.4=@ qu.11.3.part.6.question=null@ qu.11.3.part.6.choice.3=@ qu.11.3.part.6.choice.2=@ qu.11.3.part.6.choice.1=