for
Algebra I
www.gridgamesgalore.com
Grid Games
For Algebra I
Melisa Rice
www.gridgamesgalore.com
A publication of GridGamesGalore
18087 County Road 1560, Ada, OK 74820
Grid Games for Algebra I
Grid Games is an assortment of fun activities covering 9 different concepts – including
equations, linear expressions, polynomials, quadratics and square roots. Students work
problems, while trying to get 3-in-a-row to win the game.
Each activity is run off on card stock. The only other items necessary to play the games
are bingo chips, a number die and a letter die.
Contact:
www.gridgamesgalore.com
[email protected]
TABLE OF CONTENTS
Rules for playing Grid Games
Suggestions
I. SIMPLIFYING EXPRESSIONS
Absolute Value
Given an absolute value expression, simplify
Integer +Solve each integer expression involving addition and subtraction
Integer */
Solve each integer expression involving multiplication and division
Substitution
Solve each expression involving substitution
II. EQUATIONS
One-step Equations
Solve each one step equation
Two-step Equations
Solve each two step equation
Multi-step Equations
Solve each multi-step equation
Literal Equations
Solve each equation involving numerous variables for one variable X
III. INEQUALITIES
Inequalities
Identify each inequality graphed on a number line
Inequalities 2
Solve each inequality
IV. LINEAR FUNCTIONS
Functions
Evaluate each function using an equation, table or graph
Slope
Given a graph, find slope
Slope 2A
Given a line in slope-intercept form, find slope
IV. LINEAR FUNCTIONS (continued)
Slope 2B
Given a line in standard form, find slope
Finding m & b
Given a line in slope-intercept form, find slope and y-intercept
Slope 3
Given a set of points, find slope
Finding Lines 1
Given slope and y-intercept, find the equation of the line in slope-intercept form
Finding Lines 2
Given the graph of a line, find the equation of the line in slope-intercept form
Finding Lines 3
Given slope and one point, find the equation of the line in slope-intercept form
Finding Lines 4
Given two points or a table of values, find the equation of the line in slope-intercept form
Intercepts
Find the x-intercept and y-intercept for each equation in standard form
Standard form
Rewrite each linear equation in standard form
V. POLYNOMIALS
Polynomial +Simplify polynomial expressions involving addition and subtraction
Multiplying Binomials
Find the product of each pair of binomials given.
Factoring Polynomials
Factor each polynomial using difference of squares or trinomial factoring
VI. QUADRATIC FORMULA AND FUNCTIONS
Quadratic Formula
Given a quadratic equation, use the Quadratic Formula to set up each.
Quadratic Functions
Identify each quadratic function graphed
Quadratic Functions2
Identify the vertex of each quadratic function
VII. SQUARE ROOTS
Square Roots
Simplify each square root expression
VIII. TRANSFORMATIONS
Linear Parent graphs
Describe how each graph listed differs from the parent graph y = x
Absolute Value Parent graphs
Describe how the graph stated differs from the parent graph y = |x|
Absolute Value Parent graphs 2
Identify each absolute value function graphed
IX. TRANSLATIONS
Words to Expressions
Translate each phrase to an expression or equation
RULES TO PLAY "GRID GAMES"
1.
Divide the class into groups of no more than 3 students - two students will play the game and one student is the answer
person. Then have the students place their desks so the two players are facing each other and the answer person
is sitting to the side.
2.
Each group is then given the following:
Game sheet
answer key
Bingo chips in two colors
2 dice - one number die and the other with the letters A, B, C, D, E and F
3.
Place the game sheet between the two players. The answer person receives the answer key.
4.
Each player then rolls the number die. High roll is Player 1, who begins the game.
5.
Player 1 rolls both dice and finds the corresponding location on the grid. For example, Player 1 rolls C5. He moves right to
C and down 5.
6.
Player 1 then proceeds to answer the question in the corresponding grid. If he answers the question correctly, he places a
bingo chip on the square. If he does not answer the question correctly, Player 2 may answer the question and cover the
square.
7.
Player 2 then rolls the dice and answers the question. As above, if Player 2 answers the question correctly, he covers it with
a bingo chip. If he misses it, Player 1 may answer the question.
8.
Player 1 then rolls the dice. Play continues until one player has 3 chips in a row, either horizontally, vertically, or diagonally.
9.
If a player rolls the dice and the square has already been covered, the player will roll again.
10. The winner then trades places with the answer person and the game begins again.
11. If only two people must be in a group, then Player 2 checks the answer when Player 1 attempts to answer the question
correctly. But Player 2 may not answer the question if Player 1 answers it incorrectly. Play continues if Player 1 answers
it incorrectly. Play continues with Player 2 until someone wins.
SUGGESTIONS
1.
Run off all game sheets and answer sheets on color cardstock. This is much sturdier than regular color paper.
2.
Run similar concepts off using different colors of card stock.
3.
Use two or three different concepts during the activity day. Alternate game sheets with different groups during the
class period.
4.
Use the game sheets as review worksheets. Students answer the questions directly on the game sheet.
5.
To make the game last longer, students must get 4 in a row to win.
ALTERNATIVE IDEAS
Give each student a die. They roll and first one to answer the question on that square gets to cover the square.
Use as a game of strategy with no dice. The students choose their square based on their opponent's play.
Use sheet protectors and markers instead of chips. The students initial their squares when they answer the
question correctly.
If two play, write answers on index cards (example - C3). The players play as with three people, but once the answer
has been given, they turn over the corresponding card and check their answer.
GridGames
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Absolute Value
Simplify each expression below:
A
B
C
D
1
|3x-2|+5,
when x = 6
3|9-38|
-2|51-74|
|16-21|-41
2
-2|11-28|
5+|x-14|
8-|14-3x|
11+|x+6|
when x =-8 when x =-5 when x=-5
3
|5-2x|-5,
when x=3
-2|2-27|
5+|4-6x|
when x=5
4
-2|-14-21|
7-|4x+9|
when x =-1
5
12-|x-11| − 1 −12 + 42
when x = 8 3
6
-|10-21|-8
E
F
|8-3x|
12-|x+10|
when x =-2 when x =-5
-|5-19|+4
-|51-39|
1
1
−
12 + ( −34 ) |13-x|+4
49 − 31
when x =-4
2
2
|32-(-23)|
12-|x-4|
|9-3x|-6,
when x = 8 when x = 4
3
8 − 63
5
|2x+3|+1
3-|x-4|
-3|-7+(-18)|
when x = 6 when x = 9
|5+2x|+11 12-|x-11| − 1 8 − 43
when x =-4 when x = 8
2
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|-8-12|-17
|-14-37|
|12-x|-4
when x =-7
Integer+A
1
B
Find each sum or difference:
C
D
8+(-12) 14-(9-17) 8-11-(-21) 12+(-22)
E
F
-17-23
4-3-(8-15)
-11-5-(-14) -(5-8-14) -19+3+5-17 -18+(-6) -7+(-6+3)
2
-6-14
3
7+(-14)+(-11)
5-11
4
18-13
-14+21-(-11)
8-(-21) 4-(-11)-10 15+(-12)
2-25
31-28-11 -11+(-14) (-8)-(-31) -31+27
5 4+5+(-17) 21+(-14)
-8+8-6
5-31
2-17
8-5-11
6 5-(-14-2)+3
31-9-11
5-21+4
14-(-18+21)
-(5-8-11)
-(15-19)+20
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Integer •÷
A
B
Find each product or quotient
C
1
6•-4
1
2(-3)(-2) ( −10)(2)
5
2
8 − 12 x
4
−1
(16)( −2) -4(7)(-1)(-3)
4
3
4
5
D
E
−10 x + 6 y − 8 z
−2
(-7)(-1)(-4)
-5•4÷(-10)
(-2)³
8(-6x)
(-5)(3)(1)
−15 x
−5
−2
10 x − 25 y
(-3)(-2)(1)(-1)
( −9 )( −1)
3
−5
−6 + 15 a
3
-3(-2)(-1)(0)
1
6 ( x)( −8 y)
2
-21÷-7
14 x + ( −21y)
7
-8•-5
(4)(-2)( -1)
(3x)(-7y) -12•2÷3
-16÷-4
1
−(12) • ( )
2
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3
5
−1
10
−4
7
−4
−8
8
3
F
−9
3
((-1)²)²
15
−3
-3(-9y)
−1
( )(12)
3
(-3)²
Substitution
A
1
2
adb
-9g
a=3
e=4
b = -2
c=5
f = 1/2
d = -1
g = -2/3
B
C
D
E
F
4d-3a
4c − d
7
c(b+e)
5e
a+b
ea+5c
-3a
2+c
e+a
6f
4a-6g
cef
-4b
(e-d)²
3
6f+a
-5b+7d
7c − a
ed
4
cb + e
−a
2c
c-d
agc
f-g
5f
5
(5+b)a
-2bf
8de
4f+3d
6gf
9g
-10f
25
c
fg
6 (a+b)(c-d)
8f-9d
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b
a
One Step Equations
Solve each equation below:
A
B
C
D
E
F
1 k+11=-21 0=t+(-1.4) -11=a+8 14+c=-5 p+12=-4 -12+b=12
2 h+(-13)=-5 7=16-k -14-a=-21 18+m=-57 y+2.3=1.5 h-26=-29
3 16-y=37 k-13=21 m-(-13)=37 t-(-16)=9 y-13=-27 -27-b=-7
3w=-11
5c=8
5x=-45
9x=40
5 434=-31y 17b=-391 -3y=-52
k/8=6
h/11=-25
11=x/5
−5
y=-50
3
5
x=-25
2
4
4r=-28
-5s=-85
6 -10=b/-7 c/-8=-14
4
t=72
9
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−4
1
x=36
2
Two-Step Equations
A
1
3x-7=2
B
8+3x=5
C
Solve each equation below:
D
E
F
4b+ 8
a+2
= 10
= 10 5z+16=51 14n-8=34
−2
5
3m
7
g
d − 12
+ 3 = −13
+
=
13
p−
4
=
10
8
=
16
2
−
5
12
8
14
4t-7=5
6=4n+2
3
n
y
−
3
=
9
7=3−
3 4+7x=39 34=8-2t -3x-7=18 .2n+3=8.6
4
3
d
y
+ 6 = −45
4 7 = +5
3
2
−c
− 8 = −42
4
3 +n
m−5
d+ 5
=
−
5
5=
= −9
7
4
3
−w
n
13
=
−4
5 5x+3=23 4=3a-14 19=3y-5 8-5w=-37 − 8 = −2
3
3
3
6 4 x− 7 = 8
u+ 12
x
−c
2
+ 12−12 = 6 + y
+ 5 = 1 −7 =
=5
42=18-4v
3
6
−4
−4
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Multi-Step Equations
Solve each equation below:
A
B
C
1
3x-7=5x-11
5+2(3x-7)=15
4 x + 11
23
=
3x
9
2
.5-.3y = .7y-3.5
29=4x+3(7-2x)
5 − 14 x
= 19 .2x-.5=.3x+1.5 5x-4(9x-17)=3x
4 + 3x
3
-8(3x+7)=16-15x 8x-(5+3x)=10
7x + 2
12 − 5 x
=
30
−8
½(4-12x)=3x-16
x − 7 =
4
5
6
2-8x=¼(12+8x)
-¾(12+28x)=12
-11-(3+7x)=-49
2x + 21
−3
D
E
9-2x=7x+32 0.4+0.3(2x-8)=0.8x
4-7x=7x+15
8+3x=3x+8
F
1
5 7 1
x+ = − x
2
4 2 4
5
7
7 5
x− = − + x
3
4
3 4
9x+59=2+4(5-7x)
6
1
3
x − = −5 −
x
5
2
10
9-(4x+7)=11-4x
3
3
7
−1 x =
x
4
4
8
5x + 1
9x − 3
9x+14=4x+37
5(2-3x)-7x=11x+9 2 3 + 4 x = − 1 x − 4 2
4 x + 11
27
=
-3(5-4x)+11=-64 2x − 1
7
4x+11=7x-19
-(5-4x)-3x=8x+9
5x+2(3x-11)=44
1=
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5
5
5
5
8−
4
6
x = 3x+
7
7
LITERAL EQUATIONS
Solve each equation below for X:
A
B
C
D
1 3x-2y=9 x-3y=4y 2x-5y=8 3x+2y=7
E
F
y-4x=8
3y+2x=6+2y
2
1
4xy=3z 2x+7=5y x-y-z =12 8+4x=16z
xy = B
2
x²-y=8
3
x-4y=8
x+2y=6
4
x
x
+2= y
+ y = 2z
3
3
5
x-y=5x
4 xy
6 A=
3z
x+y=3
x-y=4
x-y=-2
x+y=-1
3x
= 6z
2
x− 5
x+ 2
= 2 z 3x+5=7y-4x
= 6z
3y
y
2x+y=-6 x-4y=-4x 3x-7y=21 3x+5y=-15 2x-6y=-6
3 x2
G=4x²y 3xy-5z=6 M=3xy² -6y+2x=-5 a =
2y
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Inequalities
Identify each inequality graph below:
A
B
C
1
2
3
4
5
6
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D
E
F
Inequalities2
A
1
B
Identify each inequality below:
C
D
E
F
434>-31x 17x>-391 -3x>-52 5x+16>51 14x-8>34 2x+4<-12
4
x<72
9
2
-10<x/-7 x/-8<-14
3
4+7x≤39 34≤8-2x -3x-7≤18 .2x+3≤8.6 13<-5+3x 9≥4x-7
4 x+(-13)≥-5
12<-4x
4x-7<5
6<4x+2
7≥16-x -14-x≥-21 18+x≥-57 x+2.3≥1.5 x-26≥-29
5
5x+3≥23 4<3x-14 19<3x-5 8-5x>-37 8x≥65-5x -13≥7-5x
6
16-x≥37 x-13<21 x-(-13)<37 x-(-16)>9 x-13≤-27 -27-x≤-7
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Functions
f(x)= 4-3x-x²
Evaluate each function using the given equation, table, or graph:
A
1
2
f(1)
g(4)
g(x)=-1,
3
x=??
4
g(3)
B
g(x)=2,
x= ??
C
D
h(-2)
f(4)
E
g(x)=3,
x=??
F
f(3)
h(-4)
g(-2)
f(2)
h(x)=-3,
x=??
f(-1)
h(0)
g(x)=0,
x=??
f(-3)
f(-6)
f(1/2)
h(x)=-2,
x=??
h(3)
g(x)=4,
x=??
g(-1)
h(4)
h(2)
f(-2)
f(5)
5
h(1)
g(7)
f(0)
h(x)=3,
x=??
6
h(x)=2,
x=??
g(x)=8,
x=??
g(0)
h(-1)
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h(-3)
SLOPE 1
A
B
Find the slope for each graph below:
C
1
2
3
4
5
6
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D
E
F
SLOPE 2A
Find the slope for each equation below:
A
B
C
D
E
F
1
y = 3x - 4
y=x
y = 3/2x + 3
y = -4
y = -6 - 3/4x
y = 1/2 x + 4
2
y = 5/2x + 6
x = -1
y = -3/4x +5
y = 2 + 2x
y = -2x + 3
y = 7x + 2
3
y = -3/2x
y = 4x
y=x-5
y = 4 - 4/3x
y = 2/3x - 4
y=3
4
y = 2x + 8
y = 3x
y = -1/2x - 1
y = 3 - 2/5x
y = -1/3x + 4
y=3-x
5
y = 5 - 2x
y = -2/3x + 4
y = -7 - 3x
y = 7x - 4
y = -3x +1
y = 3/4x - 1
6
y = -x +3
y = 3/2x - 8
y = -4 - 5/3x
x=2
y = 5 - 1/2x
y = 1/3x + 2
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SLOPE 2B
Given each line in standard form, find slope:
A
B
C
D
E
F
1
2x-3y=6
2x-2y=5
4x-2y=-12
2x+2y=-1
x=-4
x-3y=6
2
x-4y=8
4x-7y=14
6x-3y=-6
3x-2y=12
x+2y=-8
x-2y=5
3
3x+4y=12
x+y=4
y=4
2x-2y=-1
4x+2y=8
2x+3y=-6
4
2x+y=4
x+2y=-2
3x+3y=6
5x+3y=9
y=1
4x-3y=6
5
x-5y=-5
x+y=2
x-5y=1
2x+3y=6
5x-3y=15
x-4y=-8
6
x=2
5x-2y=10
x-y=-3
4x-5y=20
3x-4y=-12
3x+6y=12
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Finding m & b
Find slope and y-intercept of each equation below:
A
B
C
D
E
F
1
y = 3x - 4
y=x
y = 3/2x + 3
y = -4
y = -6 - 3/4x
y = 1/2 x + 4
2
y = 5/2x + 6
x = -1
y = -3/4x +5
y = 2 + 2x
y = -2x + 3
y = 7x + 2
3
y = -3/2x
y = 4x
y=x-5
y = 4 - 4/3x
y = 2/3x - 4
y=3
4
y = 2x + 8
y = 3x
y = -1/2x - 1
y = 3 - 2/5x
y = -1/3x + 4
y=3-x
5
y = 5 - 2x
y = -2/3x + 4
y = -7 - 3x
y = 7x - 4
y = -3x +1
y = 3/4x - 1
6
y = -x +3
y = 3/2x - 8
y = -4 - 5/3x
x=2
y = 5 - 1/2x
y = 1/3x + 2
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SLOPE 3
1
A
B
(3,2)
(2,4)
(1,5)
(-1,2)
2
3
(4,2)
(4,-1)
4
(4,-2)
(3,0)
5
(3,2)
(2,3)
6
(3,-1)
(0,3)
Find the slope for each set of points or table below:
C
D
(-3,-3)
(-2,4)
(-3,-3)
(0,-2)
(3,0)
(5,-1)
(-1,-1)
(3,2)
(0,2)
(2,-2)
(-1,-2)
(-2,1)
(-1,-1)
(2,-2)
(0,0)
(5,3)
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(8,-1)
(4,-4)
E
F
(0,-4)
(2,-2)
(2,5)
(5,2)
(0,0)
(-2,5)
(4,-3)
(3,-4)
(3,-1)
(1,-2)
(0,3)
(2,0)
(3,0)
(1,5)
(-2,3)
(3,3)
(-4,-2)
(2,4)
Finding Lines 1
Given slope and y-intercept, find the line:
A
B
C
D
E
F
1
m=3
b = -4
m=1
b=0
m = 3/2
b=3
m=0
b = -4
m = -3/4
b = -6
m = 1/2
b=4
2
m = 5/2
b=6
undefined
slope and
point (3, 2)
m = -3/4
b=5
m=2
b=2
m = -2
b=3
m=7
b=2
3
m = -3/2
b=0
m=4
b=0
m=1
b = -5
m = -4/3
b=4
m = 2/3
b = -4
m=0
b=3
4
m=2
b=8
m=3
b=0
m = -1/2
b = -1
m = -2/5
b=3
m = -1/3
b=4
m = -1
b=3
5
m = -2
b=5
m = -2/3
b=4
m = -3
b = -7
m=7
b=4
m = -3
b=1
m = 3/4
b = -1
6
m = -1
b=3
m = 3/2
b = -8
m = -5/3
b = -4
undefined
slope and
point (-1,-4)
m = -1/2
b=5
m = 1/3
b=2
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Finding Lines 2
A
B
C
1
2
3
4
5
6
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Identify the equation of
each line below:
D
E
F
Finding Lines 3
Given slope and a point, find the equation of the line in slope-intercept form:
A
B
C
D
E
F
1
slope = 2,
(3,1)
slope = -1/3,
(-6,1)
slope = 3/4,
(4,0)
slope = -2,
(1,1)
slope = 3,
(0,-6)
slope = 1/2,
(-2,-2)
2
slope = 1,
(1,4)
slope = 2/3,
(3,3)
slope = -1/2,
(-4,4)
slope = 2,
(-4,-3)
slope = 3/4,
(-4,1)
slope = 4/3,
(-6,-2)
3
slope = 1/2,
(-2,3)
slope = 1,
(-2,4)
slope = -1,
(2,-3)
slope = -1,
(-5,3)
undefined
slope,
(-3,-1)
slope = 2/3,
(3,4)
4
slope = 0,
(3,4)
slope = 3/2,
(-2,5)
slope = -1/4,
(0,-3)
slope = 1/2,
(4,0)
slope = -3/2,
(2,5)
slope = -4,
(0,-3)
5
slope = -2,
(-2,3)
slope = -3,
(0,4)
slope = -3,
(-1,-1)
slope = -1/3,
(3,4)
slope = 1,
(0,-2)
slope = -2,
(-3,6)
6
slope = -1,
(-3,-1)
undefined
slope,
(2,5)
slope = 0,
(3,-4)
slope = 3/2,
(4,-4)
slope = -2,
(4,-3)
slope = 1,
(-1,-3)
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Finding lines 4
Find the equation of the line for each set of points or table below:
1
A
B
(3,2)
(2,4)
(2,5)
(0,2)
2
3
(4,2)
(4,-1)
4
(4,-2)
(3,0)
5
(3,2)
(2,3)
6
(3,-1)
(0,3)
C
D
(-3,-3)
(-2,4)
(-3,-3)
(0,-2)
(4,0)
(6,-1)
(-2,-1)
(2,3)
(0,2)
(2,-2)
(-1,-2)
(-2,1)
(0,-1)
(3,-2)
(0,0)
(5,3)
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(8,-1)
(4,-4)
E
F
(0,-4)
(2,-2)
(2,5)
(5,2)
(0,0)
(-2,5)
(4,-3)
(3,-4)
(4,-1)
(2,-2)
(0,3)
(2,0)
(4,0)
(2,5)
(-2,3)
(3,3)
(-4,-2)
(2,4)
Intercepts
Find the x-intercept and y-intercept of each:
A
B
1 3x+2y=6 4x-2y=8
C
D
E
F
x-3y=6
2x+y=4 3x-4y=12 2x-3y=12
2
x-4y=8
x+y=3
x-y=4
x-y=-2
x+y=-1
3
2x-y=2
3x+y=3
x-2y=-2
x-3y=-3
2x+y=-6 x+2y=-8
4
x-y=5
2x+y=-6
x-4y=-4 3x-7y=21 3x+5y=-15 2x-6y=-6
5
x+2y=3
2x+y=5
x+2y=-3
6 3x-2y=9
x-3y=4
2x-5y=8 3x+2y=7
x-2y=-5
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x+2y=6
2x-2y=5 3x+2y=4
y-4x=8
3y+2x=6
Standard Form
Rewrite each linear equation in standard form:
A
B
C
D
E
F
1
y = x-3
y = -2x-1
y = 1/3x
y = -1/3x+1
y = 2x
y = -3x+1
2
y = -2
y = 3x
y = 3/2x+3 y = 1/3x+ 4
y = x+1
y=x+2
3
y = -2x-3
y = -2x+2
y = 3x+ 1
y = -x-3
x=3
y = 1/2x-1
4
y = 2x-4
y = -1/2x+1
y = 2/3x
y = -x+1
y = -3x-4
y = 3x-3
5
y = -2/3x-1
y = 1/3x-1
y = 2x-1
y = 3/2x-4
y = -1/3x-2
y=5
6
y = -1/2x+ 4
y = -x+2
x = -4
y = -3/2x-4
y = 1/2x-4
y = -1/3x-1
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Poly Add-Subtract
Simplify each polynomial expression:
A
B
C
D
E
F
1
2x-3x+4x-7
4x-5x-(-8x)
9x-5+(3x+7)
(4-2x)+(3x+7)
(4x-4)-(8-3x)
(9x-5)-(3x+7)
2
5x-7-11x+2
4+7x-3-7x
(5x+3)+(2x-9)
-(3x-2)+(5x-1)
(x-4)-(4-x)
(4x-11)-(-5-3x)
3
3x²-6x²+3x-8
5x²+3x-7x²-2
(4x²-4x)+(6x-5x²)
4
4+3x-2x²-3x+8x²
7x²+4x²-(-11x²)-9
(5x²-3x-8)+(4x²-x+9)
5
3x³-4x²-3x+6
5x³-3x²+5x²-(-x³)
(4x³-3x+2)+(4x²-3x-7) -3x-7x³-(3x³+2x²-3) (6-3x³)-(4x³+3x²+8) (4x³-3x+2)-(4x²-3x-7)
6
3x³-5x²+8x²-2x³
(x²+8x-2)+(3x-7) (4x²-3x)-(x²+5) (5-2x²)-(3x²-4x+5)
(6-3x-2x²)-(4x²-2)
7-9x+4x³+7x+2x²-x³ (x³-x²+4x+7)+4x²-2x-5 4x²-3x+2-(7x³+4x²-1)
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(5x-4x²)-(3x²+5x-2) (5x²-3x-8)-(4x²-x+9)
(3x²-4x-1)-(5x³-7)
(x³-x²+7)-(4x²-2x-5)
Multiplying Binomials
Find the product of each binomial below:
A
B
C
D
1 (x+7)(x-7) (x-8)(x-2) (2x+1)(x+5) (3x+1)(x+1)
E
F
(x+10y)(x-3y) (6x+7y)(6x-7y)
2 (3x+4)(x-3) (x+3)(x+1) (x+6)(x-6) (x-8)(x-3) (2x+5)(x+1) (4x+1)(x+1)
3
(2x-5)(2x+5)
4
(x+6y)(x+2y) (3x+2)(x-6)
(x-8)(x+2) (2x+3)(x+2) (x-9)(x+2)
5 (x+2)(x+1) (x+7)(x-2)
6
(3x-7)²
(x-7)(x-4)
(x+3)(x-9) (x-8)(x+3) (2x-3)(x-3) (3x-2)(2x+3)
(x+6y)(x-2y) (3x-1)(x+12) (10x-1)(10x+1)
(x-4)(x+3)
(x+9)(x-3)
(5x+4y)(5x-4y)
(3x+2y)(x-y) (5x+2)(x+1) (x+5)(x+1)
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(2x+1)²
Factoring Polynomials
A
1
2
3
4
x² - 49
B
D
E
F
x² - 10x + 16 2x² + 11x + 5 3x² + 4x + 1 x² + 7xy - 30y² 36x² - 49y²
3x² - 5x - 12 x² + 4x + 3
x² - 36
x² - 11x + 24 2x² + 7x + 5 4x² + 5x + 1
4x² - 25 x² - 6x - 16 2x² + 7x +6 x² - 7x - 18 x² + 16
x² + 8xy + 12y² 3x² - 16x - 12
5 x² + 3x + 2 x² + 5x - 14
6
C
Find the factors of each:
x² - 11x + 28
9x² + 100 x² - 5x - 24 2x² - 9x + 9 27y² - 25
x² +4xy -12y² 3x² + 35x - 12
100x² - 1 x² - x - 12
3x² - xy - 2y² 5x² + 7x + 2 x² + 6x + 5 x² + 6x - 27 4x² + 4x - 1 25x² - 16y²
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Quadratic Formula
Set up using the Quadratic Formula:
A
B
C
D
E
F
1
x²-3x+4=0
2x²+3x+1=0
x²+5x=1
4x²-21x=0
x²+4x+7=0
4x²+11=-2x
2
3x²+6x-1=0 x²+3x+7=0
3x²-5x=1
x²+3x+7=0
x²-15=0
3x²+7x+8=0
x²-4x=-1
2x²+4x-8=0
x²+2x-4=0
5x²=-3x
x²+2x-5=0
4x²-5x=2
x²-5x+6=0
3
x²-2x-8=0
4x²-3x+1=0
4
x²+14x=0
x²+3x-10=0 2x²-2x-3=0
5
2x²+5x+4=0
3x²+15=0
x²-8x=-1
x²-5x=-4
x²-6=-3x
x²-7x+5=0
6
3x²+5x+2=0
x²-7x-6=0
2x²-16=0
x²+6x+8=0
4x²-7=5x
x²-4x-2=0
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Quadratic Functions
Identify each quadratic function graphed below:
A
B
C
1
2
3
4
5
6
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D
E
F
Quadratic Functions2
Given each quadratic function, identify the vertex:
A
B
C
D
E
F
1
y=(x)²+2
y=(x-5)²-1
y=(x-2)²
y=(x+2)²+4
y=x²
y=(x+2)²+3
2
y=(x-4)²-3
y=(x+3)²-1
y=(x-2)²+3
y=(x+1)²+5
y=(x+1)²
y=(x+6)²+2
3
y=(x)²+3
y=x²
y=x²-4
y=(x+4)²-3
y=(x+3)²+1
y=(x+2)²-3
4
y=(x+2)²
y=(x-4)²+3
y=(x+1)²
y=(x-3)²+1
y=(x)²+4
y=(x)²-2
5
y=(x-2)²-4
y=(x-6)²-2
y=(x+2)²-4
y=(x+6)²-2
y=(x)²-3
y=(x-6)²+2
6
y=(x-1)²+5
y=(x-2)²
y=(x-2)²-3
y=(x-1)²
y=(x-3)²+3
y=(x+5)²-1
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Square Roots
A
1
121
2
7
36
3
4
5
− 80
20 + 4 5
45
6 2 3 +4 3
B
12
6
C
D
180
200
36
9
128 −3 48
2 27
20
3 2 8
4
49
−3 3 + 5 3
Simplify each expression below:
−3 63
E
F
12 7 − 7
− 75
36
11 5 − 2 7
25
3• 5
− 64
108
27
3
3 6 +7 6
− 169
6 5 −8 5
− 8 −2 8
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8
72
65
4 2 (2 6 )
81
3 3 6
Linear Parent
Graphs
Describe how the graph stated differs from
the parent graph y = x.
A
B
C
D
E
F
1
y=x+4
y=3/4x-2
y=2x+6
y=1/2x
y=4x-5
y=x-2
2
y=2x-3
y=3/2x
y=x-3
y=1/4x+7
y=3x
y=8/3x
3
y=x+3
y=7/2x
y=3/5x-4 y=1/3x+2 y=1/9x-5 y=1/4x+1
4
y=1/3x
y=x+2
y=1/5x+4
y=5x+2
y=3/5x-4
y=2/3x
5
y=2x
y=4/3x-3
y=4x
y=x-1
y=5/3x
y=4x-7
6
y=2x-1
y=x-4
y=3/5x
y=5/7x-2
y=5/2x-3
y=x+1
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Absolute Value
Parent Graphs
Describe how the graph stated differs
from the parent graph y = |x|
A
B
C
D
E
F
1
y=|x|-1
y=-|x+1|-2
y=|x-1|
y=|x+2|-4
y=|x|+4
y=-|x+3|-4
2
y=|x-1|-1
y=|x+1|
y=-|x|-5
y=-|x+1|-1
y=|x-4|-3
y=|x+3|
3
y=-|x|+3
y=|x|-2
y=|x+5|-1
y=|x-5|+5
y=|x-3|
y=-|x+5|-1
4
y=|x-4|
y=-|x-5|-2
y=|x|-3
y=|x|+2
y=|x|+1
y=|x-5|+2
y=|x+2|-1
y=-|x+2|
y=|x+2|-2
y=|x-3|+5
y=-|x-3|+1
y=|x+4|
y=|x-4|+3
y=|x-2|
5 y=|x-2|+4
6
y=-|x|-4
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y=-|x+3|-5 y=|x+3|+2
Absolute Value
Parent Graphs 2
A
B
C
1
2
3
4
5
6
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Identify each absolute value function
graphed below:
D
E
F
Words to Expressions
Translate each phrase to an expression or equation.
A
B
C
D
E
F
twice a number
8 is the same
as one-third
a number
four less than a
number-cubed
is 11
twice the sum of 14
and a number
12 increased by
a number is 6.
five less than
a number
the sum of four and
three times a
number is equal to
the number
half a number
the product of a
number and 12 is
the same as 48
three times a
number increased
by 7
the difference of
14 and a number
is 3
3 less than the
square root of a
number
the square root
of the difference
of 18 and twice a
number
20 subtracted
by half a number
4
8 less than a
four times a
number is the
number, added to
same as four times
three
the number
a number
decreased by 9 is
the same as 11.
five times a
number,
subtracted from
15 is 30
three times the
difference of a
number and 9
six less than
twice a number
5
five times the sum
of a number and 2
the product of 9
and a number is
equal to 2 more
than the number
15 minus a
number-squared
is 8
one less than four
times a number
is 11.
the square of the
sum of a number
and 15
four more than
three times a
number
6
twice the sum of
four times a
number and 3
three times the
8 decreased by a
difference of 12 and
number-cubed
a number is 11
9 divided by four
times a number
four times the
difference of twice
a number and 8
a number-cubed
1
2
3
8 more than half
a number
twice the difference the quotient of 14
of a number and 8
and a number,
is equal to 2
added to 3
two less than
half a number
is 7
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ANSWERS
5
4
3
2
1
-19
9
-70
-4
-34
21
A
14
-10
2
-50
27
87
B
9
33
55
31
-21
-46
C
1
−35
= −17
2
2
16
8
9
12
-36
D
3
-2
-3
-11
-10
4
E
15
-75
51
21
-12
23
F
Absolute Value answer sheet
6
5
4
3
2
1
-19
9
-70
-4
-34
21
A
14
-10
2
-50
27
87
B
9
33
55
31
-21
-46
C
1
−35
= −17
2
2
16
8
9
12
-36
D
3
-2
-3
-11
-10
4
E
15
-75
51
21
-12
23
F
Absolute Value answer sheet
6
5
4
3
2
1
24
-8
5
-18
-20
-4
A
24
7
18
-6
-2
22
B
11
-6
-8
29
17
18
C
-12
-26
-25
5
-28
-10
D
11
-15
23
3
-24
-40
E
14
-8
-4
-23
-10
8
F
Integer+- Answer Sheet
6
5
4
3
2
1
24
-8
5
-18
-20
-4
A
24
7
18
-6
-2
22
B
11
-6
-8
29
17
18
C
-12
-26
-25
5
-28
-10
D
11
-15
23
3
-24
-40
E
14
-8
-4
-23
-10
8
F
Integer+- Answer Sheet
6
5
4
3
2
1
-4xy
0
-2+5a
-2x+5y
2-3x
-24
A
4
-21xy
3
-6
8
12
B
-6
-8
2x-3y
-6
-84
-4
C
1/7
-6
8
40
2
5x-3y+4z
D
-4
-5
-3
-15
-8
-28
E
9
27y
1
3x
-48x
-3
F
Integer •÷ answer sheet
6
5
4
3
2
1
-4xy
0
-2+5a
-2x+5y
2-3x
-24
A
4
-21xy
3
-6
8
12
B
-6
-8
2x-3y
-6
-84
-4
C
1/7
-6
8
40
2
5x-3y+4z
D
-4
-5
-3
-15
-8
-28
E
9
27y
1
3x
-48x
-3
F
Integer •÷ answer sheet
6
5
4
3
2
1
6
27
2
6
6
6
A
13
2
10
3
37
-13
B
-5
-32
6
-8
-9
3
C
5
-1
-10
10
1
10
D
-1/3
-2
7
1
=1
6
6
8
3
20
E
-8
-6
1
5
=2
2
2
25
16
1
F
Substitution answer sheet
6
5
4
3
2
1
6
27
2
6
6
6
A
13
2
10
3
37
-13
B
-5
-32
6
-8
-9
3
C
5
-1
-10
10
1
10
D
-1/3
-2
7
1
=1
6
6
8
3
20
E
-8
-6
5
1
=2
2
2
25
16
1
F
Substitution answer sheet
6
5
4
3
2
1
70
-14
-7
-21
8
-32
A
112
-23
17
34
9
1.4
B
162
52/3
-11/3
24
7
-19
C
30
48
8/5
-7
-75
-19
D
-10
-275
-9
-14
-.8
-16
E
-8
55
40/9
-20
-3
24
F
One Step Equations answer sheet
6
5
4
3
2
1
70
-14
-7
-21
8
-32
A
112
-23
17
34
9
1.4
B
162
52/3
-11/3
24
7
-19
C
30
48
8/5
-7
-75
-19
D
-10
-275
-9
-14
-.8
-16
E
-8
55
40/9
-20
-3
24
F
One Step Equations answer sheet
6
5
4
3
2
1
20
4
4
5
236
3
A
16
6
-153
-13
20
-1
B
114
8
136
-25/3
16
48
C
-27
9
-32
28
80
7
D
-6
18
-38
16
3
3
E
-32
-51
25
-12
1
-7
F
Two-Step Equations answer sheet
6
5
4
3
2
1
20
4
4
5
236
3
A
16
6
-153
-13
20
-1
B
114
8
136
-25/3
16
48
C
-27
9
-32
28
80
7
D
-6
18
-38
16
3
3
E
-32
-51
25
-12
1
-7
F
Two-Step Equations answer sheet
6
4
3
2
1
-1/10
2
-8
4
2
A
-5
6
5
3
-4
4
B
4
1
0
4
-1
3
C
10
23/5
-11/14
-20
-23/9
D
-2
1/33
no solution
-1
2
-10
E
2
-7
2/7
-3
-7/5
3
F
Multi-Step Equations answer sheet
5
-1
solutions
all real
6
4
3
2
1
-1/10
2
-8
4
2
A
-5
6
5
3
-4
4
B
4
1
0
4
-1
3
C
10
23/5
-11/14
-20
-23/9
D
-2
1/33
no solution
-1
2
-10
E
2
-7
2/7
-3
-7/5
3
F
Multi-Step Equations answer sheet
5
-1
solutions
all real
6
B
C
D
E
6y − 5
2
F
6−y
2
x=
x= 8+ y
x=
7 − 2y
3
2B
y
8−y
−4
x=
x=
8 + 5y
2
x=7y
x=4z-2
x=
Literal Equations answer sheet
A
9 + 2y
3
x=12+y+z
x=
3z
4y
1
5y −7
2
x=
x=6-2y
x=
x=-y-1
2
x=y-2
x=
E
x=
F
2ay
3
x=3y-3
7y − 5
7
x=y+4
x=4y+8
D
x=
x=3-y
3
C
−15 − 5 y
3
x=6yz+5
6 + 5z
3y
x=
x=6yz-2
x=
x=
x=4z
x=3(y-2)
or x=3y-6
−y − 6
2
x=3(2z-y)
or x=6z-3y
4
x=
4y
5
−y
x=
4
5
3 Az
4y
x=
21+ 7 y
x=
3
M
3y2
G
4y
x=
x=
6
B
6−y
2
x=
x= 8+ y
x=
7 − 2y
3
2B
y
8−y
−4
x=
x=
8 + 5y
2
x=7y
x=4z-2
x=
Literal Equations answer sheet
A
9 + 2y
3
x=12+y+z
x=
3z
4y
1
5y −7
2
x=
x=6-2y
x=
x=-y-1
2
x=y-2
x=
2ay
3
x=3y-3
7y − 5
7
x=y+4
x=4y+8
6y − 5
2
x=
x=3-y
3
x=
−15 − 5 y
3
x=6yz+5
6 + 5z
3y
x=
x=6yz-2
x=
x=
x=4z
x=3(y-2)
or x=3y-6
−y − 6
2
x=3(2z-y)
or x=6z-3y
4
x=
4y
5
−y
x=
4
5
3 Az
4y
x=
21+ 7 y
x=
3
M
3y2
G
4y
x=
x=
6
5
4
3
2
1
x<4 or x>6
-4<x≤1
x<4
x<2
-3≤x≤2
x≤-5 or x≥-3
A
4<x<7
x>3
-2<x≤2
x≤-4 or x≥-1
x<0 or x>3
x>2
B
x≤-1
x<-2 or x>2
x≤-2 or x≥0
1<x≤6
x>-3
0<x<4
C
-3<x<1
x<-1 or x>3
x<-3 or x≥0
x≤0
-4<x<2
x≥-3
D
x≤-2 or x≥1
x>0
2≤x≤6
x≤-1 or x>1
x>-1
-3≤x<2
E
x>1
-1≤x≤4
x<-2
0≤x≤1
x≤-4 or x>-3
x≤2 or x≥3
F
Inequalities answer sheet
6
5
4
3
2
1
x<4 or x>6
-4<x≤1
x<4
x<2
-3≤x≤2
x≤-5 or x≥-3
A
4<x<7
x>3
-2<x≤2
x≤-4 or x≥-1
x<0 or x>3
x>2
B
x≤-1
x<-2 or x>2
x≤-2 or x≥0
1<x≤6
x>-3
0<x<4
C
-3<x<1
x<-1 or x>3
x<-3 or x≥0
x≤0
-4<x<2
x≥-3
D
x≤-2 or x≥1
x>0
2≤x≤6
x≤-1 or x>1
x>-1
-3≤x<2
E
x>1
-1≤x≤4
x<-2
0≤x≤1
x≤-4 or x>-3
x≤2 or x≥3
F
Inequalities answer sheet
6
5
4
3
2
1
x≤-21
x≥4
x≥8
x≤5
x<70
x>-14
A
x<34
x>6
x≥9
x≤-13
x>112
x>-23
B
x<24
x>8
x≤7
x≥-25/3
x<162
x<52/3
C
x>-7
x<9
x≥-75
x≤28
x<-3
x>7
D
x≤-14
x≥5
x≥-.8
x>6
x<3
x>3
E
x≥-20
x≥4
x≥-3
x≤4
x>1
x<-8
F
Inequalities2 answer sheet
6
5
4
3
2
1
x≤-21
x≥4
x≥8
x≤5
x<70
x>-14
A
x<34
x>6
x≥9
x≤-13
x>112
x>-23
B
x<24
x>8
x≤7
x≥-25/3
x<162
x<52/3
C
x>-7
x<9
x≥-75
x≤28
x<-3
x>7
D
x≤-14
x≥5
x≥-.8
x>6
x<3
x>3
E
x≥-20
x≥4
x≥-3
x≤4
x>1
x<-8
F
Inequalities2 answer sheet
6
5
4
3
2
1
5
0
2
-1
3
0
A
7
8
9/4
6
-1
3
B
0
4
-5
1
4
1
C
1
6
0
0
-6
-24
D
6
1
-2
4
-6
4
E
-36
-1
-1
-14
0
-14
F
Functions answer sheet
6
5
4
3
2
1
5
0
2
-1
3
0
A
7
8
9/4
6
-1
3
B
0
4
-5
1
4
1
C
1
6
0
0
-6
-24
D
6
1
-2
4
-6
4
E
-36
-1
-1
-14
0
-14
F
Functions answer sheet
6
5
4
3
2
1
-1
+1
+3/5
+3
+1/3
+2/5
A
+2/3
+3/2
undefined
-1
0
-3/2
B
-1/4
+3/4
-2
+2/3
-1/3
undefined
C
+1
+1/2
-1/2
+1/4
-3/2
-2/3
D
-2
-2
-2/3
-1/2
+1/2
-1
E
-3
0
-3/5
+2
-3/4
+1
F
SLOPE 1 ANSWERS
6
5
4
3
2
1
-1
+1
+3/5
+3
+1/3
+2/5
A
+2/3
+3/2
undefined
-1
0
-3/2
B
-1/4
+3/4
-2
+2/3
-1/3
undefined
C
+1
+1/2
-1/2
+1/4
-3/2
-2/3
D
-2
-2
-2/3
-1/2
+1/2
-1
E
-3
0
-3/5
+2
-3/4
+1
F
SLOPE 1 ANSWERS
6
5
4
3
2
1
-1
-2
2
-3/2
5/2
3
A
3/2
-2/3
3
4
undefined
1
B
-5/3
-3
-1/2
1
-3/4
3/2
C
undefined
7
-2/5
-4/3
2
0
D
-1/2
-3
-1/3
2/3
-2
-3/4
E
1/3
3/4
-1
0
7
1/2
F
SLOPE 2A answer sheet
6
5
4
3
2
1
-1
-2
2
-3/2
5/2
3
A
3/2
-2/3
3
4
undefined
1
B
-5/3
-3
-1/2
1
-3/4
3/2
C
undefined
7
-2/5
-4/3
2
0
D
-1/2
-3
-1/3
2/3
-2
-3/4
E
1/3
3/4
-1
0
7
1/2
F
SLOPE 2A answer sheet
6
5
4
3
2
1
undefined
1/5
-2
-3/4
1/4
2/3
A
5/2
-1
-1/2
-1
4/7
1
B
1
1/5
-1
0 slope
2
2
C
4/5
-2/3
-5/3
1
3/2
-1
D
3/4
5/3
0 slope
-2
-1/2
undefined
E
-1/2
1/4
4/3
-2/3
1/2
1/3
F
SLOPE 2B answer sheet
6
5
4
3
2
1
undefined
1/5
-2
-3/4
1/4
2/3
A
5/2
-1
-1/2
-1
4/7
1
B
1
1/5
-1
0 slope
2
2
C
4/5
-2/3
-5/3
1
3/2
-1
D
3/4
5/3
0 slope
-2
-1/2
undefined
E
-1/2
1/4
4/3
-2/3
1/2
1/3
F
SLOPE 2B answer sheet
6
5
4
3
2
1
m = -1
b=3
m = -2
b=5
m=2
b=8
m = -3/2
b=0
m = 5/2
b=6
m=3
b = -4
A
m = 3/2
b = -8
m = -2/3
b=4
m=3
b=0
m=4
b=0
undefined
slope and
no y-int
m=1
b=0
B
m = -5/3
b = -4
m = -3
b = -7
m = -1/2
b = -1
m=1
b = -5
m = -3/4
b=5
m = 3/2
b=3
C
undefined
slope and
no y-int
m=7
b = -4
m = -2/5
b=3
m = -4/3
b=4
m=2
b=2
m=0
b = -4
D
m = -1/2
b=5
m = -3
b=1
m = -1/3
b=4
m = 2/3
b = -4
m = -2
b=3
m = -3/4
b = -6
E
m = 1/3
b=2
m = 3/4
b = -1
m = -1
b=3
m=0
b=3
m=7
b=2
m = 1/2
b=4
F
Finding m & b answer sheet
6
5
4
3
2
1
m = -1
b=3
m = -2
b=5
m=2
b=8
m = -3/2
b=0
m = 5/2
b=6
m=3
b = -4
A
m = 3/2
b = -8
m = -2/3
b=4
m=3
b=0
m=4
b=0
undefined
slope and
no y-int
m=1
b=0
B
m = -5/3
b = -4
m = -3
b = -7
m = -1/2
b = -1
m=1
b = -5
m = -3/4
b=5
m = 3/2
b=3
C
undefined
slope and
no y-int
m=7
b = -4
m = -2/5
b=3
m = -4/3
b=4
m=2
b=2
m=0
b = -4
D
m = -1/2
b=5
m = -3
b=1
m = -1/3
b=4
m = 2/3
b = -4
m = -2
b=3
m = -3/4
b = -6
E
m = 1/3
b=2
m = 3/4
b = -1
m = -1
b=3
m=0
b=3
m=7
b=2
m = 1/2
b=4
F
Finding m & b answer sheet
6
5
4
3
2
1
+3/2
-1
-2/1
undefined
0
-2/1
A
-1/3
-3/1
undefined
-4/3
-1
+3/2
B
3/5
-2/1
-2/1
-1/2
+7/1
+2/1
C
3/4
-2/1
+4/3
+3/4
+1/3
-1/2
D
-1/2
-5/2
+1/2
+3/1
-5/2
1
E
-1
0
-3/2
+1
1
-1
F
SLOPE 3 answer sheet
6
5
4
3
2
1
+3/2
-1
-2/1
undefined
0
-2/1
A
-1/3
-3/1
undefined
-4/3
-1
+3/2
B
3/5
-2/1
-2/1
-1/2
+7/1
+2/1
C
3/4
-2/1
+4/3
+3/4
+1/3
-1/2
D
-1/2
-5/2
+1/2
+3/1
-5/2
1
E
-1
0
-3/2
+1
1
-1
F
SLOPE 3 answer sheet
6
3
2
1
y = 2x + 8
y = -3/2x
y = 5/2x + 6
y = 3x - 4
A
y = -2/3x + 4
y = 3x
y = 4x
x=3
y=x
B
y = -5/3x - 4
y = -3x - 7
y=x-5
y = -3/4x +5
y = 3/2x + 3
C
x = -1
y = 7x + 4
y = - 4/3x + 4
y = 2x +2
y = -4
D
y = -1/2x + 5
y = -3x +1
y = 2/3x - 4
y = -2x + 3
y = -3/4x - 6
E
y = 1/3x + 2
y = 3/4x - 1
y=3
y = 7x + 2
y = 1/2 x + 4
F
Finding Lines 1 answer sheet
4
y = -2x + 5
y = 3/2x - 8
2
1
y = -3/2x
y = 5/2x + 6
y = 3x - 4
A
y = 3x
y = 4x
x=3
y=x
B
y = -3x - 7
y=x-5
y = -3/4x +5
y = 3/2x + 3
C
x = -1
y = 7x + 4
y = - 4/3x + 4
y = 2x +2
y = -4
D
y = -1/2x + 5
y = -3x +1
y = 2/3x - 4
y = -2x + 3
y = -3/4x - 6
E
y = 1/3x + 2
y = 3/4x - 1
y=3
y = 7x + 2
y = 1/2 x + 4
F
y = -x + 3
5
y = -x +3
y = -1/2x - 1 y = -2/5x + 3 y = -1/3x + 4
6
3
y = 2x + 8
y = -2/3x + 4
y = -5/3x - 4
Finding Lines 1 answer sheet
4
y = -2x + 5
y = 3/2x - 8
y = -x + 3
5
y = -x +3
y = -1/2x - 1 y = -2/5x + 3 y = -1/3x + 4
6
5
4
3
2
1
y = -1/2x+ 4
y = -2/3x-1
y = 2x-4
y = -2x-3
y = -2
y = x-3
A
y = -x+2
y = 1/3x-1
y = -1/2x+1
y = -2x+2
y = 3x
y = -2x-1
B
x = -4
y = 2x-1
y = 2/3x
y = 3x+ 1
y = 3/2x+3
y = 1/3x
C
y = -3/2x-4
y = 3/2x-4
y = -x+1
y = -x-3
y = 1/3x+ 4
y = -1/3x+1
D
y = 1/2x-4
y = -1/3x-2
y = -3x-4
x=3
y = x+1
y = 2x
E
y = -1/3x-1
y=5
y = 3x-3
y = 1/2x-1
y=x+2
y = -3x+1
F
Finding Lines 2 answer sheet
6
5
4
3
2
1
y = -1/2x+ 4
y = -2/3x-1
y = 2x-4
y = -2x-3
y = -2
y = x-3
A
y = -x+2
y = 1/3x-1
y = -1/2x+1
y = -2x+2
y = 3x
y = -2x-1
B
x = -4
y = 2x-1
y = 2/3x
y = 3x+ 1
y = 3/2x+3
y = 1/3x
C
y = -3/2x-4
y = 3/2x-4
y = -x+1
y = -x-3
y = 1/3x+ 4
y = -1/3x+1
D
y = 1/2x-4
y = -1/3x-2
y = -3x-4
x=3
y = x+1
y = 2x
E
y = -1/3x-1
y=5
y = 3x-3
y = 1/2x-1
y=x+2
y = -3x+1
F
Finding Lines 2 answer sheet
6
1
y = x+3
y = 2x-5
A
y = 2/3x+1 y = -1/2x+2
y = -1/3x-1
B
y = 3/4x-3
C
y = -1/3x+5
y = 2x+5
y = -2x+3
D
y = -2x+5
y = x-2
y = 3x-6
E
y = x-2
y = -2x
y = 1/2x-1
F
Finding Lines3 answer sheet
2
y = 1/2x+4
y = -3x-4
y = 3/2x-10
y = 3/2x+8 y = -1/4x-3
y = 1/2x-2 y = -3/2x+8
x = -3
y = 2x-5
A
y = 2/3x+1 y = -1/2x+2
y = -1/3x-1
B
y = 3/4x-3
C
y = 2x+5
y = -2x+3
D
y = x-2
y = 3x-6
E
y = x-2
y = -2x
y = 1/2x-1
F
y = -4x-3
y = 2/3x+2
y = 3/4x+4 y = 4/3x+6
3
y=4
y = -3x+4
y = -4
y = -x-2
4
y = -2x-1
x=2
y = -x-1
5
y = -x-4
y = x+6
6
1
y = x+3
y = -1/3x+5
y = -2x+5
Finding Lines3 answer sheet
2
y = 1/2x+4
y = -3x-4
y = 3/2x-10
y = 3/2x+8 y = -1/4x-3
y = 1/2x-2 y = -3/2x+8
x = -3
y = -4x-3
y = 2/3x+2
y = 3/4x+4 y = 4/3x+6
3
y=4
y = -3x+4
y = -4
y = -x-2
4
y = -2x-1
x=2
y = -x-1
5
y = -x-4
y = x+6
6
5
4
3
2
1
y=3/2x-2
y=-x+5
y=2x+6
x=4
y=-2
y=-2x+8
A
y=-1/3x-1
y=-3x-5
x=1
y=-4/3x+3
y=-x+3
y=-3/2x+2
B
y=3/5x
y=2x+2
y=-2x+2
y=-1/2x+2
y=7x+18
y=2x+2
C
y=3/4x-7
y=-2x+5
y=4/3x-4
y=x+1
y=1/3x-2
y=-1/2x+1½
D
y=-1/2x+2
y=-5/2x+10
y=1/2x-3
y=3x-4
y=-5/2x
y=x-4
E
y=x+2
y=3
y=-3/2x+3
y=x+4
y=x-7
y=-x+7
F
Finding lines 4 answer sheet
6
5
4
3
2
1
y=3/2x-2
y=-x+5
y=2x+6
x=4
y=-2
y=-2x+8
A
y=-1/3x-1
y=-3x-5
x=1
y=-4/3x+3
y=-x+3
y=-3/2x+2
B
y=3/5x
y=2x+2
y=-2x+2
y=-1/2x+2
y=7x+18
y=2x+2
C
y=3/4x-7
y=-2x+5
y=4/3x-4
y=x+1
y=1/3x-2
y=-1/2x+1½
D
y=-1/2x+2
y=-5/2x+10
y=1/2x-3
y=3x-4
y=-5/2x
y=x-4
E
y=x+2
y=3
y=-3/2x+3
y=x+4
y=x-7
y=-x+7
F
Finding lines 4 answer sheet
6
5
4
3
2
1
x-int = 3
y-int = -9/2
x-int = 3
y-int = 3/2
x-int = 5
y-int = -5
x-int = 1
y-int = -2
x-int = 8
y-int = -2
x-int = 2
y-int = 3
A
x-int = 4
y-int = -4/3
x-int = 5/2
y-int = 5
x-int = -3
y-int = -6
x-int = 1
y-int = 3
x-int = 3
y-int = 3
x-int = 2
y-int = -4
B
x-int = 4
y-int = -8/5
x-int = -3
y-int = -3/2
x-int = -4
y-int = 1
x-int = -2
y-int = 1
x-int = 4
y-int = -4
x-int = 6
y-int = -2
C
x-int = 7/3
y-int = 7/2
x-int = -5
y-int = 5/2
x-int = 7
y-int = -3
x-int = -3
y-int = 1
x-int = -2
y-int = 2
x-int = 2
y-int = 4
D
x-int = -2
y-int = 8
x-int = 5/2
y-int = -5/2
x-int = -5
y-int = -3
x-int = -3
y-int = -6
x-int = -1
y-int = -1
x-int = 4
y-int = -3
E
x-int = 3
y-int = 2
x-int = 4/3
y-int = 2
x-int = -3
y-int = 1
x-int = -8
y-int = -4
x-int = 6
y-int = 3
x-int = 6
y-int = -4
F
Intercepts answer sheet
6
5
4
3
2
1
x-int = 3
y-int = -9/2
x-int = 3
y-int = 3/2
x-int = 5
y-int = -5
x-int = 1
y-int = -2
x-int = 8
y-int = -2
x-int = 2
y-int = 3
A
x-int = 4
y-int = -4/3
x-int = 5/2
y-int = 5
x-int = -3
y-int = -6
x-int = 1
y-int = 3
x-int = 3
y-int = 3
x-int = 2
y-int = -4
B
x-int = 4
y-int = -8/5
x-int = -3
y-int = -3/2
x-int = -4
y-int = 1
x-int = -2
y-int = 1
x-int = 4
y-int = -4
x-int = 6
y-int = -2
C
x-int = 7/3
y-int = 7/2
x-int = -5
y-int = 5/2
x-int = 7
y-int = -3
x-int = -3
y-int = 1
x-int = -2
y-int = 2
x-int = 2
y-int = 4
D
x-int = -2
y-int = 8
x-int = 5/2
y-int = -5/2
x-int = -5
y-int = -3
x-int = -3
y-int = -6
x-int = -1
y-int = -1
x-int = 4
y-int = -3
E
x-int = 3
y-int = 2
x-int = 4/3
y-int = 2
x-int = -3
y-int = 1
x-int = -8
y-int = -4
x-int = 6
y-int = 3
x-int = 6
y-int = -4
F
Intercepts answer sheet
6
x-y=3
A
2x+y=-1
B
x-3y=0
C
x+3y=3
D
2x-y=0
E
x-y=-2
3x+y=1
F
Standard Form answer sheet
1
x-y=-1
x-2y=2
3x-y=0 3x-2y=-6 x-3y=-12
x=3
y=5
x+y=-3
y=-2
3x-y=-1
3x-2y=8 x+3y=-6
x+3y=-3
3x-y=3
2x-y=1
3x+2y=-8 x-2y=8
3x+y=-4
x=-4
x+2y=2 2x-3y=0
2x+y=-3 2x+y=2
2x-y=4
x+y=2
2x+3y=-3 x-3y=3
x+2y=8
x+y=1
2
3
4
5
6
x-y=3
A
2x+y=-1
B
x-3y=0
C
x+3y=3
D
2x-y=0
E
x-y=-2
3x+y=1
F
Standard Form answer sheet
1
x-y=-1
x-2y=2
3x-y=0 3x-2y=-6 x-3y=-12
x=3
y=5
x+y=-3
y=-2
3x-y=-1
3x-2y=8 x+3y=-6
x+3y=-3
3x-y=3
2x-y=1
3x+2y=-8 x-2y=8
3x+y=-4
x=-4
x+2y=2 2x-3y=0
2x+y=-3 2x+y=2
2x-y=4
x+y=2
2x+3y=-3 x-3y=3
x+2y=8
x+y=1
2
3
4
5
6
A
7x
B
12x+2
C
2x+1
x+11
D
2x-8
7x-12
E
7x-6
6x-12
F
Poly Add-Subtract answer sheet
3x-7
7x-6
1
1
-6x-5
-5x²+4x
2
3x²-3x-5
-2x²+3x-2
x²+11x-9
-3x²+3x-8
-x²+2x
3
9x²-4x+1
x²-2x-17
22x²-9
-7x²+2
6x²+4
-6x²-3x+8
4
6x³+2x²
4x³-4x²+9
3x³-4x²-3x+6
3x³+2x²-2x+7 x³+3x²+2x+2
-7x³-3x+3
-5x³+3x²-4x+6 x³-5x²+2x+12
-7x³-3x²-2
5
x³+3x²
4x³+4x²-6x-5 -10x³-2x²-3x+3
6
A
7x
B
12x+2
C
2x+1
x+11
D
2x-8
7x-12
E
7x-6
6x-12
F
Poly Add-Subtract answer sheet
3x-7
7x-6
1
1
-6x-5
-5x²+4x
2
3x²-3x-5
-2x²+3x-2
x²+11x-9
-3x²+3x-8
-x²+2x
3
9x²-4x+1
x²-2x-17
22x²-9
-7x²+2
6x²+4
-6x²-3x+8
4
6x³+2x²
4x³-4x²+9
3x³-4x²-3x+6
3x³+2x²-2x+7 x³+3x²+2x+2
-7x³-3x+3
-5x³+3x²-4x+6 x³-5x²+2x+12
-7x³-3x²-2
5
x³+3x²
4x³+4x²-6x-5 -10x³-2x²-3x+3
6
D
Multiplying Binomials answer sheet
C
E
F
2x²+7x+5
B
x²-11x+24
9x²-42x+49 x²-11x+28
A
x²-36
x²-7x-18
3x²+4x+1 x²+7xy-30y² 36x²-49y²
x²-49
x²+4x+3
2x²+7x+6
x²-10x+16 2x²+11x+5
1
3x²-5x-12
x²-6x-16
E
4x²+4x-1
100x²-1
2x²-9x+9
F
25x²-16y²
x²-x-12
6x² +5x-6
4x²+5x+1
2
4x²-25
x²-5x-24
3
x²-6x-27
x²+5x-14 x²+4xy-12y² 3x²+35x-12
x²+8xy+12y² 3x²-16x-12
x²+3x+2
4
5
5x²+7x+2
x²+6x-27
3x²-xy-2y²
x²+6x+5
6
D
Multiplying Binomials answer sheet
C
2x²+7x+5
B
x²-11x+24
9x²-42x+49 x²-11x+28
A
x²-36
x²-7x-18
3x²+4x+1 x²+7xy-30y² 36x²-49y²
x²-49
x²+4x+3
2x²+7x+6
x²-10x+16 2x²+11x+5
1
3x²-5x-12
x²-6x-16
4x²+4x-1
100x²-1
2x²-9x+9
25x²-16y²
x²-x-12
6x² +5x-6
4x²+5x+1
2
4x²-25
x²-5x-24
3
x²-6x-27
x²+5x-14 x²+4xy-12y² 3x²+35x-12
x²+8xy+12y² 3x²-16x-12
x²+3x+2
4
5
5x²+7x+2
x²+6x-27
3x²-xy-2y²
x²+6x+5
6
E
prime
(x-8)(x+3) (2x-3)(x-3)
(10x-1)(10x+1)
(x+9)(x-3) (2x+1)(2x+1)
(x+7)(x-2) (x+6y)(x-2y) (3x-1)(x+12)
prime
F
(6x+7y)(6x-7y)
Factoring Polynomials answer sheet
D
(x+7)(x-7)
C
1
(3x+4)(x-3) (x+3)(x+1)
B
2
(2x-5)(2x+5) (x-8)(x+2) (2x+3)(x+2) (x-9)(x+2)
A
3
(x+6y)(x+2y) (3x+2)(x-6)
(x-8)(x-2) (2x+1)(x+5) (3x+1)(x+1) (x+10y)(x-3y)
4
(x+2)(x+1)
F
(5x+4y)(5x-4y)
(x-4)(x+3)
prime
(x-7)(x-4)
(x-8)(x-3) (2x+5)(x+1) (4x+1)(x+1)
5
(3x+2y)(x-y) (5x+2)(x+1) (x+5)(x+1)
(x+6)(x-6)
6
E
prime
(x-8)(x+3) (2x-3)(x-3)
(10x-1)(10x+1)
(x+9)(x-3) (2x+1)(2x+1)
(x+7)(x-2) (x+6y)(x-2y) (3x-1)(x+12)
prime
(6x+7y)(6x-7y)
Factoring Polynomials answer sheet
D
(x+7)(x-7)
C
1
(3x+4)(x-3) (x+3)(x+1)
B
2
(2x-5)(2x+5) (x-8)(x+2) (2x+3)(x+2) (x-9)(x+2)
A
3
(x+6y)(x+2y) (3x+2)(x-6)
(x-8)(x-2) (2x+1)(x+5) (3x+1)(x+1) (x+10y)(x-3y)
4
(x+2)(x+1)
(5x+4y)(5x-4y)
(x-4)(x+3)
prime
(x-7)(x-4)
(x-8)(x-3) (2x+5)(x+1) (4x+1)(x+1)
5
(3x+2y)(x-y) (5x+2)(x+1) (x+5)(x+1)
(x+6)(x-6)
6
3±
A
2
b gb g
b−3g − 4b1gb4g
bg
bg
2
2
2
2
b5g − 4b3gb2g
2b3g
b5g − 4b2gb4 g
2b2g
b14g − 4b1gb0g
2b1g
21
bg
− 4 1 −8
b gb g
− 4 3 −1
21
b6 g
2
−6 ±
b−2g
23
2±
−14 ±
−5 ±
−5 ±
−3 ±
−3 ±
3±
B
2
b3g − 4b2gb1g
bg
22
2
b3g − 4b1gb7 g
2b1g
2
bg
b gb g
− 4 1 −10
b−3g − 4b4 gb1g
2b 4 g
b3g
2
−5 ±
5 ±
4 ±
8 ±
2±
b gb g
0 ±
− 4 3 15
b gb g
− 4 1 −6
bg
2
21
b −7 g
23
bg
21
−3 ±
b0 g
2
0±
7 ±
b gb g
21 ±
b3g
−6 ±
A
2
b−3g − 4b1gb4g
2b1g
b gb g
− 4 3 −1
bg
2
b gb g
− 4 1 −8
bg
21
2
b14g − 4b1gb0g
2b1g
2
b5g − 4b2gb4 g
2b2g
2
b5g − 4b3gb2g
2b3g
−3 ±
−3 ±
3±
B
2
b3g − 4b2gb1g
2b2g
2
b3g − 4b1gb7 g
2b1g
2
bg
2
b5 g
C
2
D
2
b gb g
−3 ±
21 ±
b3g
−6 ±
2
D
2
−4 ±
E
2
b4 g − 4b1gb7 g
2b1g
2
b gb g
−3 ±
−7 ±
−2 ±
b gb g
5 ±
− 4 1 −15
bg
2
bg
21
2
b gb g
7 ±
− 4 4 −2
bg
24
2
b gb g
− 4 1 −6
bg
21
b3g
2
4 ±
−7 ±
−2 ±
b gb g
− 4 4 −7
bg
2
b4 g − 4b1gb7 g
2b1g
E
24
b−5g
−4 ±
b gb g
−3 ±
− 4 1 −15
bg
21
bg
2
b gb g
5 ±
− 4 1 −4
21
2
0 ±
b2g
2
2
b gb g
− 4 4 −2
bg
7 ±
24
2
− 4 b1gb −6 g
4 ±
bg
b gb g
− 4 4 −7
bg
24
b−5g
21
b3g
b0 g
b gb g
−2 ±
− 41 7
bg
2
21
2
b gb g
− 4 2 −8
bg
22
2
b−5g
5 ±
−3 ±
5 ±
− 4 1 −5
bg
21
b−5g − 4b1gb4 g
2b1g
2
b6g − 4b1gb8g
2b1g
2
b gb g
b−21g − 4b4 gb0g
2b 4 g
b gb g
b4g
− 4 3 −1
bg
23
2
−4 ±
b−4 g − 4b1gb1g
2b1g
2
b gb g
− 4 2 −3
bg
22
b−2g
2
b gb g
b−8g − 4b1gb1g
2b1g
bg
− 4 2 −16
22
2
b0 g
5 ±
b2g
− 4 1 −1
bg
2
−5 ±
b−5g
21
5 ±
4 ±
8 ±
2±
b gb g
0 ±
− 4 3 15
bg
23
2
b gb g
− 4 1 −6
bg
21
b −7 g
b gb g
− 4 1 −10
b−3g − 4b4 gb1g
2b 4 g
b3g
2
−3 ±
b0 g
21
0±
7 ±
− 4 1 −4
21
0 ±
b2g
5 ±
b0 g
b gb g
−2 ±
− 41 7
bg
21
2
b gb g
b −5 g
− 4 2 −8
bg
22
2
5 ±
− 4 1 −5
bg
21
2
b−5g − 4b1gb4 g
2b1g
2
b6g − 4b1gb8g
2b1g
−3 ±
b gb g
b−21g − 4b4 gb0g
2b 4 g
−3 ±
− 4 1 −1
C
2
b5 g
bg
21
2
b gb g
− 4 3 −1
bg
23
b−5g
b4g
b−4 g − 4b1gb1g
2b1g
2
−4 ±
b2g
b gb g
− 4 2 −3
bg
2
22
b−2g
2
b gb g
b−8g − 4b1gb1g
2b1g
bg
− 4 2 −16
22
2
b0 g
5 ±
−2 ±
Quadratic Formula answer sheet
1
2
3
4
5
6
3±
b6 g
2
−6 ±
b−2g
23
2±
−14 ±
−5 ±
−5 ±
−2 ±
Quadratic Formula answer sheet
1
2
3
4
5
6
2
F
b gb g
− 4 4 11
bg
24
b2g
2
b7 g − 4b3gb8g
2b3g
2
b3g − 4b5gb0g
2b5 g
2
b−5g − 4b1gb6g
2b1g
2
− 4 1 −2
b gb g
b−7 g − 4b1gb5g
2b1g
2
bg
21
b−4g
F
b gb g
− 4 4 11
bg
2
24
b2g
2
b7 g − 4b3gb8g
2b3g
2
b3g − 4b5gb0g
2b5 g
2
b−5g − 4b1gb6g
2b1g
2
− 4 1 −2
b gb g
b−7 g − 4b1gb5g
2b1g
2
bg
21
b−4g
Quadratic Functions answer sheet
C
F
B
y=(x-2)²
y=(x)²-2
E
A
y=(x-5)²-1
y=-(x)²+4
y=-(x-6)²+2
D
y=(x-4)²-3 y=-(x+3)²-1 y=(x-2)²+3 y=(x+1)²+5
y=-(x)²+2
y=x²-4
y=(x-3)²+1
y=-(x)²-3
y=(x+5)²-1
y=(x+2)²+3
1
y=x²
y=-(x+1)²
y=(x+6)²-2
y=(x-3)²+3
y=-x²
2
y=(x)²+3
y=-(x-4)²+3
y=(x+2)²-4
y=(x-1)²
y=-(x+2)²+4
3
y=(x+2)²
y=(x-6)²-2
y=-(x-2)²-3
y=-(x+6)²+2
4
y=(x-2)²-4
y=-(x-2)²
y=(x+1)²
5
y=(x-1)²+5
y=(x+4)²-3 y=(x+3)²+1 y=-(x+2)²-3
6
Quadratic Functions answer sheet
C
F
B
y=(x-2)²
y=(x)²-2
E
A
y=(x-5)²-1
y=-(x)²+4
y=-(x-6)²+2
D
y=(x-4)²-3 y=-(x+3)²-1 y=(x-2)²+3 y=(x+1)²+5
y=-(x)²+2
y=x²-4
y=(x-3)²+1
y=-(x)²-3
y=(x+5)²-1
y=(x+2)²+3
1
y=x²
y=-(x+1)²
y=(x+6)²-2
y=(x-3)²+3
y=-x²
2
y=(x)²+3
y=-(x-4)²+3
y=(x+2)²-4
y=(x-1)²
y=-(x+2)²+4
3
y=(x+2)²
y=(x-6)²-2
y=-(x-2)²-3
y=-(x+6)²+2
4
y=(x-2)²-4
y=-(x-2)²
y=(x+1)²
5
y=(x-1)²+5
y=(x+4)²-3 y=(x+3)²+1 y=-(x+2)²-3
6
5
4
3
2
1
(1,5)
(2,-4)
(-2,0)
(0,3)
(4,-3)
(0,2)
A
(2,0)
(6,-2)
(4,3)
(0,0)
(-3,-1)
(5,-1)
B
(2,-3)
(-2,-4)
(-1,0)
(0,-4)
(2,3)
(2,0)
C
(1,0)
(-6,-2)
(3,1)
(-4,-3)
(-1,5)
(-2,4)
D
(3,3)
(0,-3)
(0,4)
(-3,1)
(-1,0)
(0,0)
E
(-5,-1)
(6,2)
(0,-2)
(-2,-3)
(-6,2)
(-2,3)
F
Quadratic Functions2 answer sheet
6
5
4
3
2
1
(1,5)
(2,-4)
(-2,0)
(0,3)
(4,-3)
(0,2)
A
(2,0)
(6,-2)
(4,3)
(0,0)
(-3,-1)
(5,-1)
B
(2,-3)
(-2,-4)
(-1,0)
(0,-4)
(2,3)
(2,0)
C
(1,0)
(-6,-2)
(3,1)
(-4,-3)
(-1,5)
(-2,4)
D
(3,3)
(0,-3)
(0,4)
(-3,1)
(-1,0)
(0,0)
E
(-5,-1)
(6,2)
(0,-2)
(-2,-3)
(-6,2)
(-2,3)
F
Quadratic Functions2 answer sheet
6
A
2
B
−12 3
−9 7
2
15
11 5 − 2 7
6
9
16 3
Square Roots answer sheet
11
8 2
2 3
5
3
9 2
F
1
7
6
6 3
−6 2
6 3
−2 5
E
2
−4 5
2 5
-8
-13
D
3
6 5
6
10 6
C
4
3 5
7
B
2
11 5 − 2 7
6
16 3
65
1
3
11 7 −5 3
5
6 3
6 5 10 2
6
A
2
−12 3
−9 7
15
9
Square Roots answer sheet
11
8 2
2 3
5
3
9 2
F
1
7
6
6 3
−6 2
6 3
−2 5
E
2
−4 5
2 5
-8
-13
D
3
6 5
6
10 6
C
4
3 5
7
65
1
3
11 7 −5 3
5
6 3
6 5 10 2
6
B
flatter
down 2
down 3
C
steeper
up 6
flatter
down 5
flatter
down 4
steeper
steeper
down 7
flatter
up 1
steeper
Linear Parent Graphs Answer
sheet
up 4
steeper
flatter
up 7
flatter
up 2
steeper
up 2
steeper
up 1
F
1
steeper
down 3
steeper
flatter
down 4
flatter
up 4
down 1
steeper
down 3
D
2
up 3
up 2
steeper
flatter
down 2
A
3
flatter
steeper
down 3
flatter
C
steeper
up 6
steeper
flatter
up 1
steeper
flatter
down 2
4
steeper
down 4
E
steeper
down 5
5
steeper
down 1
flatter
6
B
flatter
down 2
down 3
flatter
down 5
flatter
down 4
steeper
down 7
Linear Parent Graphs Answer
sheet
up 4
steeper
flatter
up 7
flatter
up 2
steeper
up 2
steeper
up 1
F
1
steeper
down 3
steeper
flatter
down 4
flatter
up 4
down 1
steeper
down 3
D
2
up 3
up 2
steeper
flatter
down 2
A
3
flatter
steeper
down 3
flatter
flatter
down 2
4
steeper
down 4
E
steeper
down 5
5
steeper
down 1
flatter
6
5
4
3
2
1
down 4
opens down
right 2
up 4
right 4
up 3
opens down
right 1
down 1
down 1
A
right 3
up 5
up 1
right 5
down 2
opens down
down 2
left 1
left 1 down 2
opens down
B
right 3 up 1
opens down
right 5
up 2
down 3
left 5
down 1
down 5
opens down
right 1
C
left 4
left 2
down 1
up 2
right 5
up 5
left 1 down 1
opens down
left 2
down 4
D
right 4
up 3
left 2
opens down
left 3 down 5
opens down
right 3
right 4
down 3
up 4
E
right 2
left 2
down 2
left 3
up 2
left 5 down 1
opens down
left 3
left 3 down 4
opens down
F
Absolute Value
Parent Graphs answer sheet
6
5
4
3
2
1
down 4
opens down
right 2
up 4
right 4
up 3
opens down
right 1
down 1
down 1
A
right 3
up 5
up 1
right 5
down 2
opens down
down 2
left 1
left 1 down 2
opens down
B
right 3 up 1
opens down
right 5
up 2
down 3
left 5
down 1
down 5
opens down
right 1
C
left 4
left 2
down 1
up 2
right 5
up 5
left 1 down 1
opens down
left 2
down 4
D
right 4
up 3
left 2
opens down
left 3 down 5
opens down
right 3
right 4
down 3
up 4
E
right 2
left 2
down 2
left 3
up 2
left 5 down 1
opens down
left 3
left 3 down 4
opens down
F
Absolute Value
Parent Graphs answer sheet
6
5
4
3
2
1
y=-|x|-4
y=|x-2|+4
y=|x-4|
y=-|x|+3
y=|x-1|-1
y=|x|-1
A
y=|x-3|+5
y=|x|+1
y=-|x-5|-2
y=|x|-2
y=|x+1|
y=-|x+1|-2
B
y=-|x-3|+1
y=|x-5|+2
y=|x|-3
y=|x+5|-1
y=-|x|-5
y=|x-1|
C
y=|x+4|
y=|x+2|-1
y=|x|+2
y=|x-5|+5
y=-|x+1|-1
y=|x+2|-4
D
y=|x-4|+3
y=-|x+2|
y=-|x+3|-5
y=|x-3|
y=|x-4|-3
y=|x|+4
E
y=|x-2|
y=|x+2|-2
y=|x+3|+2
y=-|x+5|-1
y=|x+3|
y=-|x+3|-4
F
Absolute Value
Parent Graphs 2 answer sheet
6
5
4
3
2
1
y=-|x|-4
y=|x-2|+4
y=|x-4|
y=-|x|+3
y=|x-1|-1
y=|x|-1
A
y=|x-3|+5
y=|x|+1
y=-|x-5|-2
y=|x|-2
y=|x+1|
y=-|x+1|-2
B
y=-|x-3|+1
y=|x-5|+2
y=|x|-3
y=|x+5|-1
y=-|x|-5
y=|x-1|
C
y=|x+4|
y=|x+2|-1
y=|x|+2
y=|x-5|+5
y=-|x+1|-1
y=|x+2|-4
D
y=|x-4|+3
y=-|x+2|
y=-|x+3|-5
y=|x-3|
y=|x-4|-3
y=|x|+4
E
y=|x-2|
y=|x+2|-2
y=|x+3|+2
y=-|x+5|-1
y=|x+3|
y=-|x+3|-4
F
Absolute Value
Parent Graphs 2 answer sheet
6
5
4
3
2
1
2(4x+3)
5(x+2)
x-8=4x
1/2x-2=7
2(x-8)=2
8 + 1/2x
A
3(12-x)=11
9x=2+x
4x+3
3x+7
14/x +3
2x
B
8-x³
15-n²=8
x-9=11
14-x=3
x-5
8=1/3x
C
9/(4x)
4x-1=11
15-5x=30
x −3
4+3x=x
x³-4=11
D
4(2x-8)
(x+15)²
3(x-9)
18 − 2x
1/2x
2(14+x)
E
x³
4+3x
2x-6
20-1/2x
12x=48
12+x=6
F
Words to Expressions answer sheet
6
5
4
3
2
1
2(4x+3)
5(x+2)
x-8=4x
1/2x-2=7
2(x-8)=2
8 + 1/2x
A
3(12-x)=11
9x=2+x
4x+3
3x+7
14/x +3
2x
B
8-x³
15-n²=8
x-9=11
14-x=3
x-5
8=1/3x
C
9/(4x)
4x-1=11
15-5x=30
x −3
4+3x=x
x³-4=11
D
4(2x-8)
(x+15)²
3(x-9)
18 − 2x
1/2x
2(14+x)
E
x³
4+3x
2x-6
20-1/2x
12x=48
12+x=6
F
Words to Expressions answer sheet
6
About the author:
Melisa Rice has been an Oklahoma high school teacher for over 26 years. Throughout her
career, she has served on numerous committees at both the local and state level to help improve the
teaching of mathematics in Oklahoma.
She is a local staff development trainer, and has presented numerous workshops on
mathematics teaching at local school districts. She is also a National Board Certified Teacher in
Early Adolescent Mathematics, was selected as a teacher of the year finalist for the State of
Oklahoma in 2005 and was the 1996 Oklahoma Presidential Award for Excellence in Mathematics
winner.
She and her husband, Chris, reside in Ada, where Melisa is currently teaching mathematics at
Shawnee High School.
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