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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 GamesSuggestions
I. SIMPLIFYING EXPRESSIONSAbsolute Value
Given an absolute value expression, simplifyInteger +-
Solve each integer expression involving addition and subtractionInteger */
Solve each integer expression involving multiplication and divisionSubstitution
Solve each expression involving substitutionII. EQUATIONS
One-step EquationsSolve each one step equation
Two-step EquationsSolve each two step equation
Multi-step EquationsSolve each multi-step equation
Literal EquationsSolve each equation involving numerous variables for one variable X
III. INEQUALITIESInequalities
Identify each inequality graphed on a number lineInequalities 2
Solve each inequalityIV. LINEAR FUNCTIONS
FunctionsEvaluate each function using an equation, table or graph
SlopeGiven a graph, find slope
Slope 2AGiven a line in slope-intercept form, find slope
IV. LINEAR FUNCTIONS (continued)Slope 2B
Given a line in standard form, find slopeFinding m & b
Given a line in slope-intercept form, find slope and y-interceptSlope 3
Given a set of points, find slopeFinding Lines 1
Given slope and y-intercept, find the equation of the line in slope-intercept formFinding Lines 2
Given the graph of a line, find the equation of the line in slope-intercept formFinding Lines 3
Given slope and one point, find the equation of the line in slope-intercept formFinding Lines 4
Given two points or a table of values, find the equation of the line in slope-intercept formIntercepts
Find the x-intercept and y-intercept for each equation in standard formStandard form
Rewrite each linear equation in standard formV. POLYNOMIALS
Polynomial +-Simplify polynomial expressions involving addition and subtraction
Multiplying BinomialsFind the product of each pair of binomials given.
Factoring PolynomialsFactor each polynomial using difference of squares or trinomial factoring
VI. QUADRATIC FORMULA AND FUNCTIONSQuadratic Formula
Given a quadratic equation, use the Quadratic Formula to set up each.Quadratic Functions
Identify each quadratic function graphedQuadratic Functions2
Identify the vertex of each quadratic functionVII. SQUARE ROOTS
Square RootsSimplify each square root expression
VIII. TRANSFORMATIONSLinear Parent graphs
Describe how each graph listed differs from the parent graph y = xAbsolute 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 graphedIX. TRANSLATIONS
Words to ExpressionsTranslate each phrase to an expression or equation
1. Divide the class into groups of no more than 3 students - two students will play the game and one student is the answerperson. 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 Bingo chips in two colorsanswer key 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.
RULES TO PLAY "GRID GAMES"
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.
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 thequestion correctly.
If two play, write answers on index cards (example - C3). The players play as with three people, but once the answerhas been given, they turn over the corresponding card and check their answer.
SUGGESTIONS
ALTERNATIVE IDEAS
GridGames
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A B C D E F
1 |3x-2|+5, when x = 6 3|9-38| -2|51-74| |16-21|-41 12-|x+10|
when x =-2|8-3x|
when x =-5
2 -2|11-28| 5+|x-14| when x =-8
8-|14-3x| when x =-5
11+|x+6| when x=-5 -|5-19|+4 -|51-39|
3 |5-2x|-5, when x=3 -2|2-27| 5+|4-6x|
when x=5|13-x|+4
when x =-4
4 -2|-14-21| 7-|4x+9| when x =-1 |32-(-23)| 12-|x-4|
when x = 8|9-3x|-6,
when x = 4 |-14-37|
5 12-|x-11| when x = 8
|2x+3|+1 when x = 6
3-|x-4| when x = 9 -3|-7+(-18)|
6 -|10-21|-8 |5+2x|+11 when x =-4
12-|x-11| when x = 8 |-8-12|-17 |12-x|-4
when x =-7
Absolute ValueSimplify each expression below:
− + −12
12 34( )
− −12
8 43
− − +13
12 42
12
49 31−
35
8 63−
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A B C D E F
1 8+(-12) 14-(9-17) 8-11-(-21) 12+(-22) -17-23 4-3-(8-15)
2 -6-14 -11-5-(-14) -(5-8-14) -19+3+5-17 -18+(-6) -7+(-6+3)
3 7+(-14)+(-11) 5-11 8-(-21) 4-(-11)-10 15+(-12) 2-25
4 18-13 -14+21-(-11) 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 -(15-19)+20 31-9-11 5-21+4 14-(-18+21) -(5-8-11)
Integer+-Find each sum or difference:
Integer+-Find each sum or difference:
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A B C D E F
1 6•-4 2(-3)(-2) (-7)(-1)(-4)
2 -4(7)(-1)(-3) -5•4÷(-10) (-2)³ 8(-6x)
3 (-3)(-2)(1)(-1) -8•-5 (-5)(3)(1)
4 -21÷-7 (4)(-2)( -1) ((-1)²)²
5 -3(-2)(-1)(0) (3x)(-7y) -12•2÷3 -3(-9y)
6 -16÷-4 (-3)²
Integer •÷Find each product or quotient
( )( )12
8x y− − •( ) ( )12 12
−
−
474
( )( )−13
12
351
10−
153−
− +6 153
a 14 217
x y+ −( ) −883
−−155
x−− −
23
9 1( )( )10 255
x y−−
8 124− x −
−1
416 2( )( )
15
10 2( )( )− − + −−
10 6 82
x y z −93
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A B C D E F
1 adb 4d-3a c(b+e) 5e a+b
2 -9g ea+5c -3a 6f 4a-6g
3 6f+a -5b+7d cef -4b (e-d)²
4 2c c-d agc f-g 5f
5 (5+b)a -2bf 8de 4f+3d 6gf 9g
6 (a+b)(c-d) 8f-9d -10f fg ba
Substitutiona = 3 b = -2 c = 5 d = -1
e = 4 f = 1/2 g = -2/3
47
c d−
2++
ce a
7c aed−
25c
cb ea+−
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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
4 4r=-28 -5s=-85 3w=-11 5c=8 5x=-45 9x=40
5 434=-31y 17b=-391 -3y=-52 k/8=6 h/11=-25 11=x/5
6 -10=b/-7 c/-8=-14 t=72 y=-50 x=-25 x=36
One Step EquationsSolve each equation below:
49
−53
52
−4 12
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A B C D E F
1 3x-7=2 8+3x=5 5z+16=51 14n-8=34
2 4t-7=5 6=4n+2
3 4+7x=39 34=8-2t -3x-7=18 .2n+3=8.6
4
5 5x+3=23 4=3a-14 19=3y-5 8-5w=-37
6 42=18-4v
Two-Step EquationsSolve each equation below:
16 1214
=−d
72
5= +d
34
7 8x− =
8 312
13+ =m
y3
6 45+ =−
x−
+ =4
5 1
a+=
25
10
78
4 10p− =
−− =−
c4
8 42
− =−
+76
12c
g−
+ =−5
3 13
d+=−
53
9
− = +12 6 23
y
34
3 9y− =
37
5+=−
n
n3
8 2− =−
4 82
10b+−
=
7 33
= −n
5 54
=−m
133
4=−
−w
u+−
=124
5
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A B C D E F
1 3x-7=5x-11 5+2(3x-7)=15 9-2x=7x+32 0.4+0.3(2x-8)=0.8x
2 .5-.3y = .7y-3.5 29=4x+3(7-2x) .2x-.5=.3x+1.5 5x-4(9x-17)=3x
3 -8(3x+7)=16-15x 8x-(5+3x)=10 4-7x=7x+15 9x+59=2+4(5-7x)
4 ½(4-12x)=3x-16 -11-(3+7x)=-49 8+3x=3x+8 9-(4x+7)=11-4x
5 2-8x=¼(12+8x) 5x+2(3x-11)=44 9x+14=4x+37 5(2-3x)-7x=11x+9
6 -¾(12+28x)=12 -3(5-4x)+11=-64 4x+11=7x-19 -(5-4x)-3x=8x+9
Multi-Step EquationsSolve each equation below:
4 113x
239
x +=
5 144 3x
19−+
=x
7 230
12 58
x x+=
−−
x − =+−
7 2x 213
1 5 19 3
=+−
xx
4 112x 1
277
x +−
=
34
1 34
78
− =x x
12
54
72
14
x x+ = −
53
74
73
54
x x− =− +
65
12
5 310
x x− =− −
2 35
45
15
4 25
+ =− −x x
8 47
3 67
− = +x x
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A B C D E F
1 3x-2y=9 x-3y=4y 2x-5y=8 3x+2y=7 y-4x=8 3y+2x=6+2y
2 4xy=3z 2x+7=5y x-y-z =12 8+4x=16z x²-y=8
3 x-4y=8 x+y=3 x-y=4 x-y=-2 x+y=-1 x+2y=6
4 3x+5=7y-4x
5 x-y=5x 2x+y=-6 x-4y=-4x 3x-7y=21 3x+5y=-15 2x-6y=-6
6 G=4x²y 3xy-5z=6 M=3xy² -6y+2x=-5
LITERAL EQUATIONSSolve each equation below for X:
12
xy B=
x y3
2+ = x y z3
2+ = 32
6x z=x
yz+
=2 6
xy
z−=
53
2
A xyz
=43
a xy
=32
2
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A B C D E F
1
2
3
4
5
6
InequalitiesIdentify each inequality graph below:
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A B C D E F
1 434>-31x 17x>-391 -3x>-52 5x+16>51 14x-8>34 2x+4<-12
2 -10<x/-7 x/-8<-14 x<72 12<-4x 4x-7<5 6<4x+2
3 4+7x≤39 34≤8-2x -3x-7≤18 .2x+3≤8.6 13<-5+3x 9≥4x-7
4 x+(-13)≥-5 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
Inequalities2Identify each inequality below:
49
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A B C D E F
1 f(1) g(x)=2, x= ?? h(-2) f(4) g(x)=3,
x=?? f(3)
2 g(4) h(-4) g(-2) f(2) h(x)=-3, x=?? h(-3)
3 g(x)=-1, x=?? f(-1) h(0) g(x)=0,
x=?? f(-3) f(-6)
4 g(3) f(1/2) h(x)=-2, x=?? h(3) g(x)=4,
x=?? g(-1)
5 h(1) g(7) f(0) h(x)=3, x=?? h(4) h(2)
6 h(x)=2, x=??
g(x)=8, x=?? g(0) h(-1) f(-2) f(5)
Functions f(x)= 4-3x-x²Evaluate each function using the given equation, table, or graph:
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A B C D E F
1
2
3
4
5
6
SLOPE 1 Find the slope for each graph below:
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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
SLOPE 2A Find the slope for each equation below:
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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
SLOPE 2BGiven each line in standard form, find slope:
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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
Finding m & bFind slope and y-intercept of each equation below:
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A B C D E F
1 (3,2) (2,4)
(1,5) (-1,2)
(0,-4) (2,-2)
(2,5) (5,2)
2 (-3,-3) (-2,4)
(-3,-3) (0,-2)
(0,0) (-2,5)
(4,-3) (3,-4)
3 (4,2) (4,-1)
(3,-1) (0,3)
(3,0) (5,-1)
(-1,-1) (3,2)
4 (4,-2) (3,0)
(0,2) (2,-2)
(3,-1) (1,-2)
(0,3) (2,0)
5 (3,2) (2,3)
(-1,-2) (-2,1)
(3,0) (1,5)
(-2,3) (3,3)
6 (-1,-1) (2,-2)
(0,0) (5,3)
(8,-1) (4,-4)
(-4,-2) (2,4)
SLOPE 3Find the slope for each set of points or table below:
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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
Finding Lines 1Given slope and y-intercept, find the line:
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A B C D E F
1
2
3
4
5
6
Finding Lines 2 Identify the equation of each line below:
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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)
Finding Lines 3Given slope and a point, find the equation of the line in slope-intercept form:
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A B C D E F
1 (3,2) (2,4)
(2,5) (0,2)
(0,-4) (2,-2)
(2,5) (5,2)
2 (-3,-3) (-2,4)
(-3,-3) (0,-2)
(0,0) (-2,5)
(4,-3) (3,-4)
3 (4,2) (4,-1)
(3,-1) (0,3)
(4,0) (6,-1)
(-2,-1) (2,3)
4 (4,-2) (3,0)
(0,2) (2,-2)
(4,-1) (2,-2)
(0,3) (2,0)
5 (3,2) (2,3)
(-1,-2) (-2,1)
(4,0) (2,5)
(-2,3) (3,3)
6 (0,-1) (3,-2)
(0,0) (5,3)
(8,-1) (4,-4)
(-4,-2) (2,4)
Finding lines 4Find the equation of the line for each set of points or table below:
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A B C D E F
1 3x+2y=6 4x-2y=8 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 x+2y=6
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 x-2y=-5 2x-2y=5 3x+2y=4
6 3x-2y=9 x-3y=4 2x-5y=8 3x+2y=7 y-4x=8 3y+2x=6
InterceptsFind the x-intercept and y-intercept of each:
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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
Standard FormRewrite each linear equation in standard form:
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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) (x²+8x-2)+(3x-7) (4x²-3x)-(x²+5) (5-2x²)-(3x²-4x+5)
4 4+3x-2x²-3x+8x² 7x²+4x²-(-11x²)-9 (5x²-3x-8)+(4x²-x+9) (6-3x-2x²)-(4x²-2) (5x-4x²)-(3x²+5x-2) (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 7-9x+4x³+7x+2x²-x³ (x³-x²+4x+7)+4x²-2x-5 4x²-3x+2-(7x³+4x²-1) (3x²-4x-1)-(5x³-7) (x³-x²+7)-(4x²-2x-5)
Poly Add-SubtractSimplify each polynomial expression:
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A B C D E F
1 (x+7)(x-7) (x-8)(x-2) (2x+1)(x+5) (3x+1)(x+1) (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) (x-8)(x+2) (2x+3)(x+2) (x-9)(x+2) (3x-7)² (x-7)(x-4)
4 (x+6y)(x+2y) (3x+2)(x-6) (x+3)(x-9) (x-8)(x+3) (2x-3)(x-3) (3x-2)(2x+3)
5 (x+2)(x+1) (x+7)(x-2) (x+6y)(x-2y) (3x-1)(x+12) (10x-1)(10x+1) (x-4)(x+3)
6 (3x+2y)(x-y) (5x+2)(x+1) (x+5)(x+1) (x+9)(x-3) (2x+1)² (5x+4y)(5x-4y)
Multiplying BinomialsFind the product of each binomial below:
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A B C D E F
1 x² - 49 x² - 10x + 16 2x² + 11x + 5 3x² + 4x + 1 x² + 7xy - 30y² 36x² - 49y²
2 3x² - 5x - 12 x² + 4x + 3 x² - 36 x² - 11x + 24 2x² + 7x + 5 4x² + 5x + 1
3 4x² - 25 x² - 6x - 16 2x² + 7x +6 x² - 7x - 18 x² + 16 x² - 11x + 28
4 x² + 8xy + 12y² 3x² - 16x - 12 9x² + 100 x² - 5x - 24 2x² - 9x + 9 27y² - 25
5 x² + 3x + 2 x² + 5x - 14 x² +4xy -12y² 3x² + 35x - 12 100x² - 1 x² - x - 12
6 3x² - xy - 2y² 5x² + 7x + 2 x² + 6x + 5 x² + 6x - 27 4x² + 4x - 1 25x² - 16y²
Factoring PolynomialsFind the factors of each:
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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
3 x²-2x-8=0 4x²-3x+1=0 x²-4x=-1 2x²+4x-8=0 x²+2x-4=0 5x²=-3x
4 x²+14x=0 x²+3x-10=0 2x²-2x-3=0 x²+2x-5=0 4x²-5x=2 x²-5x+6=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
Quadratic Formula Set up using the Quadratic Formula:
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A B C D E F
1
2
3
4
5
6
Quadratic FunctionsIdentify each quadratic function graphed below:
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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
Quadratic Functions2Given each quadratic function, identify the vertex:
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A B C D E F
1
2
3
4
5
6
Square RootsSimplify each expression below:
36
25
49
121
8145
200
20
65
108
128
− 64
− 75
− 80 2 27
−3 48
2 3 4 3+
12 7 7−
11 5 2 7−
6 5 8 5−
3 5•20 4 5+ − −8 2 8
126
736
369
273
872
3 2 84
180
−3 63− +3 3 5 3
3 3 63 6 7 6+ − 169
4 2 2 6( )
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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
Linear Parent Graphs Describe how the graph stated differs from
the parent graph y = x.
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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+3|-5 y=|x+3|+2
5 y=|x-2|+4 y=|x|+1 y=|x-5|+2 y=|x+2|-1 y=-|x+2| y=|x+2|-2
6 y=-|x|-4 y=|x-3|+5 y=-|x-3|+1 y=|x+4| y=|x-4|+3 y=|x-2|
Absolute Value Parent Graphs Describe how the graph stated differs
from the parent graph y = |x|
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A B C D E F
1
2
3
4
5
6
Absolute Value Parent Graphs 2 Identify each absolute value function
graphed below:
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A B C D E F
1 8 more than half a number 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.
2twice the difference of a number and 8
is equal to 2
the quotient of 14 and a number,
added to 3
five less than a number
the sum of four and three times a
number is equal to the number
half a numberthe product of a
number and 12 is the same as 48
3two less than half a number
is 7
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
48 less than a number is the
same as four times the number
four times a number, added to
three
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
6twice the sum of
four times a number and 3
three times the difference of 12 and
a number is 11
8 decreased by a number-cubed
9 divided by four times a number
four times the difference of twice a number and 8
a number-cubed
Words to ExpressionsTranslate each phrase to an expression or equation.
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ANSWERS
AB
CD
EF
121
87-46
-364
23
2-34
27-21
12-10
-12
3-4
-5031
9-11
21
4-70
255
8-3
51
59
-1033
16-2
-75
6-19
149
315
AB
CD
EF
121
87-46
-364
23
2-34
27-21
12-10
-12
3-4
-5031
9-11
21
4-70
255
8-3
51
59
-1033
16-2
-75
6-19
149
315
Absolute Value answer sheet
Absolute Value answer sheet
−=−
35217
12
−=−
35217
12
AB
CD
EF
1-4
2218
-10-40
8
2-20
-217
-28-24
-10
3-18
-629
53
-23
45
18-8
-2523
-4
5-8
7-6
-26-15
-8
624
2411
-1211
14
AB
CD
EF
1-4
2218
-10-40
8
2-20
-217
-28-24
-10
3-18
-629
53
-23
45
18-8
-2523
-4
5-8
7-6
-26-15
-8
624
2411
-1211
14
Integer+- Answ
er Sheet
Integer+- Answ
er Sheet
AB
CD
EF
1-24
12-4
5x-3y+4z-28
-3
22-3x
8-84
2-8
-48x
3 -2x+5y
-6-6
40-15
3x
4 -2+5a
32x-3y
8-3
1
50
-21xy-8
-6-5
27y
6-4xy
4-6
1/7-4
9
AB
CD
EF
1-24
12-4
5x-3y+4z-28
-3
22-3x
8-84
2-8
-48x
3 -2x+5y
-6-6
40-15
3x
4 -2+5a
32x-3y
8-3
1
50
-21xy-8
-6-5
27y
6-4xy
4-6
1/7-4
9
Integer •÷ answ
er sheet
Integer •÷ answ
er sheet
AB
CD
EF
16
-133
1020
1
26
37-9
13
16
36
3-8
108
25
42
106
-10
527
2-32
-1-2
-6
66
13-5
5-1/3
-8
AB
CD
EF
16
-133
1020
1
26
37-9
13
16
36
3-8
108
25
42
106
-10
527
2-32
-1-2
-6
66
13-5
5-1/3
-8
761
16=
522
12=
761
16=
522
12=
Substitution answer sheet
Substitution answer sheet
AB
CD
EF
1-32
1.4-19
-19-16
24
28
97
-75-.8
-3
3-21
3424
-7-14
-20
4-7
17-11/3
8/5-9
40/9
5-14
-2352/3
48-275
55
670
112162
30-10
-8
AB
CD
EF
1-32
1.4-19
-19-16
24
28
97
-75-.8
-3
3-21
3424
-7-14
-20
4-7
17-11/3
8/5-9
40/9
5-14
-2352/3
48-275
55
670
112162
30-10
-8
One Step E
quations answer sheet
One Step E
quations answer sheet
AB
CD
EF
13
-148
73
-7
2236
2016
803
1
35
-13-25/3
2816
-12
44
-153136
-32-38
25
54
68
918
-51
620
16114
-27-6
-32
AB
CD
EF
13
-148
73
-7
2236
2016
803
1
35
-13-25/3
2816
-12
44
-153136
-32-38
25
54
68
918
-51
620
16114
-27-6
-32
Two-Step Equations answer sheet
Two-Step Equations answer sheet
AB
CD
EF
12
43
-23/9-10
3
24
-4-1
-202
-7/5
3-8
34
-11/14-1
-3
42
50
all real solutions
no solution2/7
5 -1/10
61
23/51/33
-7
6-1
-54
10-2
2
AB
CD
EF
12
43
-23/9-10
3
24
-4-1
-202
-7/5
3-8
34
-11/14-1
-3
42
50
all real solutions
no solution2/7
5 -1/10
61
23/51/33
-7
6-1
-54
10-2
2
Multi-Step Equations answ
er sheet
Multi-Step Equations answ
er sheet
AB
CD
EF
1x=7y
2x=12+y+z
x=4z-2
3x=4y+8
x=3-yx=y+4
x=y-2x=-y-1
x=6-2y
4x=3(y-2) or x=3y-6
x=3(2z-y) or x=6z-3y
x=4zx=6yz-2
x=6yz+5
5x=3y-3
6
AB
CD
EF
1x=7y
2x=12+y+z
x=4z-2
3x=4y+8
x=3-yx=y+4
x=y-2x=-y-1
x=6-2y
4x=3(y-2) or x=3y-6
x=3(2z-y) or x=6z-3y
x=4zx=6yz-2
x=6yz+5
5x=3y-3
6
xy
=+
923
xy
=+
852
xy
=−− 84
xy
=−
62
xzy
=34
xy
=−
57
2x
By=
2x
y=
+8
xy
=−
75
7
xy
=−4
xy
=−
−6
2x
y=
45x
y=
+21
73x
y=−
−15
53
xA
zy=
34x
Gy=
4x
zy
=+
65
3x
My=
32
xy
=−
65
2x
ay=
23
xy
=−
723
xy
=+
923
xy
=+
852
xy
=−− 84
xy
=−
62
xzy
=34
xy
=−
57
2x
By=
2x
y=
+8
xy
=−
75
7
xy
=−4
xy
=−
−6
2x
y=
45x
y=
+21
73x
y=−
−15
53
xA
zy=
34x
Gy=
4x
zy
=+
65
3x
My=
32
xy
=−
65
2x
ay=
23
xy
=−
723
Literal Equations answer sheet
Literal Equations answer sheet
AB
CD
EF
1x≤-5 or x≥-3
x>20<x<4
x≥-3-3≤x<2
x≤2 or x≥3
2-3≤x≤2
x<0 or x>3x>-3
-4<x<2x>-1
x≤-4 or x>-3
3x<2
x≤-4 or x≥-11<x≤6
x≤0x≤-1 or x>1
0≤x≤1
4x<4
-2<x≤2x≤-2 or x≥0
x<-3 or x≥02≤x≤6
x<-2
5-4<x≤1
x>3x<-2 or x>2
x<-1 or x>3x>0
-1≤x≤4
6x<4 or x>6
4<x<7x≤-1
-3<x<1x≤-2 or x≥1
x>1
AB
CD
EF
1x≤-5 or x≥-3
x>20<x<4
x≥-3-3≤x<2
x≤2 or x≥3
2-3≤x≤2
x<0 or x>3x>-3
-4<x<2x>-1
x≤-4 or x>-3
3x<2
x≤-4 or x≥-11<x≤6
x≤0x≤-1 or x>1
0≤x≤1
4x<4
-2<x≤2x≤-2 or x≥0
x<-3 or x≥02≤x≤6
x<-2
5-4<x≤1
x>3x<-2 or x>2
x<-1 or x>3x>0
-1≤x≤4
6x<4 or x>6
4<x<7x≤-1
-3<x<1x≤-2 or x≥1
x>1
Inequalities a
nswer sh
eet
Inequalities a
nswer sh
eet
AB
CD
EF
1x>-14
x>-23x<52/3
x>7x>3
x<-8
2x<70
x>112x<162
x<-3x<3
x>1
3x≤5
x≤-13x≥-25/3
x≤28x>6
x≤4
4x≥8
x≥9x≤7
x≥-75x≥-.8
x≥-3
5x≥4
x>6x>8
x<9x≥5
x≥4
6x≤-21
x<34x<24
x>-7x≤-14
x≥-20
AB
CD
EF
1x>-14
x>-23x<52/3
x>7x>3
x<-8
2x<70
x>112x<162
x<-3x<3
x>1
3x≤5
x≤-13x≥-25/3
x≤28x>6
x≤4
4x≥8
x≥9x≤7
x≥-75x≥-.8
x≥-3
5x≥4
x>6x>8
x<9x≥5
x≥4
6x≤-21
x<34x<24
x>-7x≤-14
x≥-20
Inequalities2 answer sheet
Inequalities2 answer sheet
AB
CD
EF
10
31
-244
-14
23
-14
-6-6
0
3-1
61
04
-14
42
9/4-5
0-2
-1
50
84
61
-1
65
70
16
-36
AB
CD
EF
10
31
-244
-14
23
-14
-6-6
0
3-1
61
04
-14
42
9/4-5
0-2
-1
50
84
61
-1
65
70
16
-36
Functions answ
er sheet
Functions answ
er sheet
AB
CD
EF
1+2/5
-3/2undefined
-2/3-1
+1
2+1/3
0-1/3
-3/2+1/2
-3/4
3+3
-1+2/3
+1/4-1/2
+2
4+3/5
undefined-2
-1/2-2/3
-3/5
5+1
+3/2+3/4
+1/2-2
0
6-1
+2/3-1/4
+1-2
-3
AB
CD
EF
1+2/5
-3/2undefined
-2/3-1
+1
2+1/3
0-1/3
-3/2+1/2
-3/4
3+3
-1+2/3
+1/4-1/2
+2
4+3/5
undefined-2
-1/2-2/3
-3/5
5+1
+3/2+3/4
+1/2-2
0
6-1
+2/3-1/4
+1-2
-3
SLOP
E 1
AN
SWE
RS
SLOP
E 1
AN
SWE
RS
AB
CD
EF
13
13/2
0-3/4
1/2
25/2
undefined-3/4
2-2
7
3-3/2
41
-4/32/3
0
42
3-1/2
-2/5-1/3
-1
5-2
-2/3-3
7-3
3/4
6-1
3/2-5/3
undefined-1/2
1/3
AB
CD
EF
13
13/2
0-3/4
1/2
25/2
undefined-3/4
2-2
7
3-3/2
41
-4/32/3
0
42
3-1/2
-2/5-1/3
-1
5-2
-2/3-3
7-3
3/4
6-1
3/2-5/3
undefined-1/2
1/3
SLOPE 2A answer sheet
SLOPE 2A answer sheet
AB
CD
EF
12/3
12
-1undefined
1/3
21/4
4/72
3/2-1/2
1/2
3-3/4
-10 slope
1-2
-2/3
4-2
-1/2-1
-5/30 slope
4/3
51/5
-11/5
-2/35/3
1/4
6undefined
5/21
4/53/4
-1/2
AB
CD
EF
12/3
12
-1undefined
1/3
21/4
4/72
3/2-1/2
1/2
3-3/4
-10 slope
1-2
-2/3
4-2
-1/2-1
-5/30 slope
4/3
51/5
-11/5
-2/35/3
1/4
6undefined
5/21
4/53/4
-1/2
SLOPE 2B answer sheet
SLOPE 2B answer sheet
AB
CD
EF
1m
= 3 b = -4
m = 1
b = 0m
= 3/2 b = 3
m = 0
b = -4m
= -3/4 b = -6
m = 1/2
b = 4
2m
= 5/2 b = 6
undefined slope and no y-int
m = -3/4 b = 5
m = 2
b = 2m
= -2 b = 3
m = 7
b = 2
3m
= -3/2 b = 0
m = 4
b = 0m
= 1 b = -5
m = -4/3 b = 4
m = 2/3
b = -4m
= 0 b = 3
4m
= 2 b = 8
m = 3
b = 0m
= -1/2 b = -1
m = -2/5 b = 3
m = -1/3 b = 4
m = -1
b = 3
5m
= -2 b = 5
m = -2/3 b = 4
m = -3
b = -7m
= 7 b = -4
m = -3
b = 1m
= 3/4 b = -1
6m
= -1 b = 3
m = 3/2
b = -8m
= -5/3 b = -4
undefined slope and no y-int
m = -1/2 b = 5
m = 1/3
b = 2
AB
CD
EF
1m
= 3 b = -4
m = 1
b = 0m
= 3/2 b = 3
m = 0
b = -4m
= -3/4 b = -6
m = 1/2
b = 4
2m
= 5/2 b = 6
undefined slope and no y-int
m = -3/4 b = 5
m = 2
b = 2m
= -2 b = 3
m = 7
b = 2
3m
= -3/2 b = 0
m = 4
b = 0m
= 1 b = -5
m = -4/3 b = 4
m = 2/3
b = -4m
= 0 b = 3
4m
= 2 b = 8
m = 3
b = 0m
= -1/2 b = -1
m = -2/5 b = 3
m = -1/3 b = 4
m = -1
b = 3
5m
= -2 b = 5
m = -2/3 b = 4
m = -3
b = -7m
= 7 b = -4
m = -3
b = 1m
= 3/4 b = -1
6m
= -1 b = 3
m = 3/2
b = -8m
= -5/3 b = -4
undefined slope and no y-int
m = -1/2 b = 5
m = 1/3
b = 2
Finding m &
b answer sheet
Finding m &
b answer sheet
AB
CD
EF
1-2/1
+3/2+2/1
-1/21
-12
0-1
+7/1+1/3
-5/21
3undefined
-4/3-1/2
+3/4+3/1
+14
-2/1undefined
-2/1+4/3
+1/2-3/2
5-1
-3/1-2/1
-2/1-5/2
06
+3/2-1/3
3/53/4
-1/2-1
AB
CD
EF
1-2/1
+3/2+2/1
-1/21
-12
0-1
+7/1+1/3
-5/21
3undefined
-4/3-1/2
+3/4+3/1
+14
-2/1undefined
-2/1+4/3
+1/2-3/2
5-1
-3/1-2/1
-2/1-5/2
06
+3/2-1/3
3/53/4
-1/2-1
SLOPE 3 answer sheet
SLOPE 3 answer sheet
AB
CD
EF
1y = 3x - 4
y = xy = 3/2x + 3
y = -4y = -3/4x - 6
y = 1/2 x + 4
2y = 5/2x + 6
x = 3y = -3/4x +5
y = 2x +2y = -2x + 3
y = 7x + 2
3y = -3/2x
y = 4xy = x - 5
y = - 4/3x + 4y = 2/3x - 4
y = 3
4y = 2x + 8
y = 3xy = -1/2x - 1
y = -2/5x + 3y = -1/3x + 4
y = -x + 3
5y = -2x + 5
y = -2/3x + 4y = -3x - 7
y = 7x + 4y = -3x +1
y = 3/4x - 1
6y = -x +3
y = 3/2x - 8y = -5/3x - 4
x = -1y = -1/2x + 5
y = 1/3x + 2
AB
CD
EF
1y = 3x - 4
y = xy = 3/2x + 3
y = -4y = -3/4x - 6
y = 1/2 x + 4
2y = 5/2x + 6
x = 3y = -3/4x +5
y = 2x +2y = -2x + 3
y = 7x + 2
3y = -3/2x
y = 4xy = x - 5
y = - 4/3x + 4y = 2/3x - 4
y = 3
4y = 2x + 8
y = 3xy = -1/2x - 1
y = -2/5x + 3y = -1/3x + 4
y = -x + 3
5y = -2x + 5
y = -2/3x + 4y = -3x - 7
y = 7x + 4y = -3x +1
y = 3/4x - 1
6y = -x +3
y = 3/2x - 8y = -5/3x - 4
x = -1y = -1/2x + 5
y = 1/3x + 2
Finding Lines 1 answer sheet
Finding Lines 1 answer sheet
AB
CD
EF
1y = x-3
y = -2x-1y = 1/3x
y = -1/3x+1y = 2x
y = -3x+1
2y = -2
y = 3xy = 3/2x+3
y = 1/3x+ 4y = x+1
y = x + 2
3y = -2x-3
y = -2x+2y = 3x+ 1
y = -x-3x = 3
y = 1/2x-1
4y = 2x-4
y = -1/2x+1y = 2/3x
y = -x+1y = -3x-4
y = 3x-3
5y = -2/3x-1
y = 1/3x-1y = 2x-1
y = 3/2x-4y = -1/3x-2
y = 5
6y = -1/2x+ 4
y = -x+2x = -4
y = -3/2x-4y = 1/2x-4
y = -1/3x-1
AB
CD
EF
1y = x-3
y = -2x-1y = 1/3x
y = -1/3x+1y = 2x
y = -3x+1
2y = -2
y = 3xy = 3/2x+3
y = 1/3x+ 4y = x+1
y = x + 2
3y = -2x-3
y = -2x+2y = 3x+ 1
y = -x-3x = 3
y = 1/2x-1
4y = 2x-4
y = -1/2x+1y = 2/3x
y = -x+1y = -3x-4
y = 3x-3
5y = -2/3x-1
y = 1/3x-1y = 2x-1
y = 3/2x-4y = -1/3x-2
y = 5
6y = -1/2x+ 4
y = -x+2x = -4
y = -3/2x-4y = 1/2x-4
y = -1/3x-1
Finding Lines 2 answer sheet
Finding Lines 2 answer sheet
AB
CD
EF
1y = 2x-5
y = -1/3x-1y = 3/4x-3
y = -2x+3y = 3x-6
y = 1/2x-1
2y = x+3
y = 2/3x+1y = -1/2x+2
y = 2x+5y = 3/4x+4
y = 4/3x+6
3y = 1/2x+4
y = x+6y = -x-1
y = -x-2x = -3
y = 2/3x+2
4y = 4
y = 3/2x+8y = -1/4x-3
y = 1/2x-2y = -3/2x+8
y = -4x-3
5y = -2x-1
y = -3x+4y = -3x-4
y = -1/3x+5y = x-2
y = -2x
6y = -x-4
x = 2y = -4
y = 3/2x-10y = -2x+5
y = x-2
AB
CD
EF
1y = 2x-5
y = -1/3x-1y = 3/4x-3
y = -2x+3y = 3x-6
y = 1/2x-1
2y = x+3
y = 2/3x+1y = -1/2x+2
y = 2x+5y = 3/4x+4
y = 4/3x+6
3y = 1/2x+4
y = x+6y = -x-1
y = -x-2x = -3
y = 2/3x+2
4y = 4
y = 3/2x+8y = -1/4x-3
y = 1/2x-2y = -3/2x+8
y = -4x-3
5y = -2x-1
y = -3x+4y = -3x-4
y = -1/3x+5y = x-2
y = -2x
6y = -x-4
x = 2y = -4
y = 3/2x-10y = -2x+5
y = x-2
Finding Lines3 answer sheet
Finding Lines3 answer sheet
AB
CD
EF
1y=-2x+8
y=-3/2x+2y=2x+2
y=-1/2x+1½y=x-4
y=-x+7
2y=-2
y=-x+3y=7x+18
y=1/3x-2y=-5/2x
y=x-7
3x=4
y=-4/3x+3y=-1/2x+2
y=x+1y=3x-4
y=x+4
4y=2x+6
x=1y=-2x+2
y=4/3x-4y=1/2x-3
y=-3/2x+3
5y=-x+5
y=-3x-5y=2x+2
y=-2x+5y=-5/2x+10
y=3
6y=3/2x-2
y=-1/3x-1y=3/5x
y=3/4x-7y=-1/2x+2
y=x+2
AB
CD
EF
1y=-2x+8
y=-3/2x+2y=2x+2
y=-1/2x+1½y=x-4
y=-x+7
2y=-2
y=-x+3y=7x+18
y=1/3x-2y=-5/2x
y=x-7
3x=4
y=-4/3x+3y=-1/2x+2
y=x+1y=3x-4
y=x+4
4y=2x+6
x=1y=-2x+2
y=4/3x-4y=1/2x-3
y=-3/2x+3
5y=-x+5
y=-3x-5y=2x+2
y=-2x+5y=-5/2x+10
y=3
6y=3/2x-2
y=-1/3x-1y=3/5x
y=3/4x-7y=-1/2x+2
y=x+2
Finding lines 4 answer sheet
Finding lines 4 answer sheet
AB
CD
EF
1x-int = 2 y-int = 3
x-int = 2 y-int = -4
x-int = 6 y-int = -2
x-int = 2 y-int = 4
x-int = 4 y-int = -3
x-int = 6 y-int = -4
2x-int = 8 y-int = -2
x-int = 3 y-int = 3
x-int = 4 y-int = -4
x-int = -2 y-int = 2
x-int = -1 y-int = -1
x-int = 6 y-int = 3
3x-int = 1 y-int = -2
x-int = 1 y-int = 3
x-int = -2 y-int = 1
x-int = -3 y-int = 1
x-int = -3 y-int = -6
x-int = -8 y-int = -4
4x-int = 5 y-int = -5
x-int = -3 y-int = -6
x-int = -4 y-int = 1
x-int = 7 y-int = -3
x-int = -5 y-int = -3
x-int = -3 y-int = 1
5x-int = 3
y-int = 3/2x-int = 5/2 y-int = 5
x-int = -3 y-int = -3/2
x-int = -5 y-int = 5/2
x-int = 5/2 y-int = -5/2
x-int = 4/3 y-int = 2
6x-int = 3
y-int = -9/2x-int = 4
y-int = -4/3x-int = 4
y-int = -8/5x-int = 7/3 y-int = 7/2
x-int = -2 y-int = 8
x-int = 3 y-int = 2
AB
CD
EF
1x-int = 2 y-int = 3
x-int = 2 y-int = -4
x-int = 6 y-int = -2
x-int = 2 y-int = 4
x-int = 4 y-int = -3
x-int = 6 y-int = -4
2x-int = 8 y-int = -2
x-int = 3 y-int = 3
x-int = 4 y-int = -4
x-int = -2 y-int = 2
x-int = -1 y-int = -1
x-int = 6 y-int = 3
3x-int = 1 y-int = -2
x-int = 1 y-int = 3
x-int = -2 y-int = 1
x-int = -3 y-int = 1
x-int = -3 y-int = -6
x-int = -8 y-int = -4
4x-int = 5 y-int = -5
x-int = -3 y-int = -6
x-int = -4 y-int = 1
x-int = 7 y-int = -3
x-int = -5 y-int = -3
x-int = -3 y-int = 1
5x-int = 3
y-int = 3/2x-int = 5/2 y-int = 5
x-int = -3 y-int = -3/2
x-int = -5 y-int = 5/2
x-int = 5/2 y-int = -5/2
x-int = 4/3 y-int = 2
6x-int = 3
y-int = -9/2x-int = 4
y-int = -4/3x-int = 4
y-int = -8/5x-int = 7/3 y-int = 7/2
x-int = -2 y-int = 8
x-int = 3 y-int = 2
Inte
rcepts a
nsw
er sh
eet
Inte
rcepts a
nsw
er sh
eet
AB
CD
EF
1x-y=3
2x+y=-1x-3y=0
x+3y=32x-y=0
3x+y=1
2y=-2
3x-y=03x-2y=-6
x-3y=-12x-y=-1
x-y=-2
32x+y=-3
2x+y=23x-y=-1
x+y=-3x=3
x-2y=2
42x-y=4
x+2y=22x-3y=0
x+y=13x+y=-4
3x-y=3
52x+3y=-3
x-3y=32x-y=1
3x-2y=8x+3y=-6
y=5
6x+2y=8
x+y=2x=-4
3x+2y=-8x-2y=8
x+3y=-3
AB
CD
EF
1x-y=3
2x+y=-1x-3y=0
x+3y=32x-y=0
3x+y=1
2y=-2
3x-y=03x-2y=-6
x-3y=-12x-y=-1
x-y=-2
32x+y=-3
2x+y=23x-y=-1
x+y=-3x=3
x-2y=2
42x-y=4
x+2y=22x-3y=0
x+y=13x+y=-4
3x-y=3
52x+3y=-3
x-3y=32x-y=1
3x-2y=8x+3y=-6
y=5
6x+2y=8
x+y=2x=-4
3x+2y=-8x-2y=8
x+3y=-3
Standard Form answ
er sheet
Standard Form answ
er sheet
AB
CD
EF
13x-7
7x12x+2
x+117x-12
6x-12
2 -6x-5
17x-6
2x+12x-8
7x-6
3 -3x²+3x-8
-2x²+3x-2 -x²+2x
x²+11x-93x²-3x-5
-5x²+4x
46x²+4
22x²-99x²-4x+1
-6x²-3x+8 -7x²+2
x²-2x-17
53x³-4x²-3x+6
6x³+2x²4x³+4x²-6x-5
-10x³-2x²-3x+3 -7x³-3x²-2
4x³-4x²+9
6x³+3x²
3x³+2x²-2x+7x³+3x²+2x+2
-7x³-3x+3-5x³+3x²-4x+6
x³-5x²+2x+12
AB
CD
EF
13x-7
7x12x+2
x+117x-12
6x-12
2 -6x-5
17x-6
2x+12x-8
7x-6
3 -3x²+3x-8
-2x²+3x-2 -x²+2x
x²+11x-93x²-3x-5
-5x²+4x
46x²+4
22x²-99x²-4x+1
-6x²-3x+8 -7x²+2
x²-2x-17
53x³-4x²-3x+6
6x³+2x²4x³+4x²-6x-5
-10x³-2x²-3x+3 -7x³-3x²-2
4x³-4x²+9
6x³+3x²
3x³+2x²-2x+7x³+3x²+2x+2
-7x³-3x+3-5x³+3x²-4x+6
x³-5x²+2x+12
Poly Add-Subtract answer sheet
Poly Add-Subtract answer sheet
AB
CD
EF
1x²-49
x²-10x+162x²+11x+5
3x²+4x+1x²+7xy-30y²
36x²-49y²
23x²-5x-12
x²+4x+3x²-36
x²-11x+242x²+7x+5
4x²+5x+1
34x²-25
x²-6x-162x²+7x+6
x²-7x-189x²-42x+49
x²-11x+28
4x²+8xy+12y²
3x²-16x-12x²-6x-27
x²-5x-242x²-9x+9
6x² +5x-6
5x²+3x+2
x²+5x-14x²+4xy-12y²
3x²+35x-12100x²-1
x²-x-12
63x²-xy-2y²
5x²+7x+2x²+6x+5
x²+6x-274x²+4x-1
25x²-16y²
AB
CD
EF
1x²-49
x²-10x+162x²+11x+5
3x²+4x+1x²+7xy-30y²
36x²-49y²
23x²-5x-12
x²+4x+3x²-36
x²-11x+242x²+7x+5
4x²+5x+1
34x²-25
x²-6x-162x²+7x+6
x²-7x-189x²-42x+49
x²-11x+28
4x²+8xy+12y²
3x²-16x-12x²-6x-27
x²-5x-242x²-9x+9
6x² +5x-6
5x²+3x+2
x²+5x-14x²+4xy-12y²
3x²+35x-12100x²-1
x²-x-12
63x²-xy-2y²
5x²+7x+2x²+6x+5
x²+6x-274x²+4x-1
25x²-16y²
Multiplying Binomials answer sheet
Multiplying Binomials answer sheet
AB
CD
EF
1(x+7)(x-7)
(x-8)(x-2)(2x+1)(x+5)
(3x+1)(x+1)(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)
(x-8)(x+2)(2x+3)(x+2)
(x-9)(x+2)prim
e(x-7)(x-4)
4(x+6y)(x+2y)
(3x+2)(x-6)prim
e(x-8)(x+3)
(2x-3)(x-3)prim
e
5(x+2)(x+1)
(x+7)(x-2)(x+6y)(x-2y)(3x-1)(x+12)
(10x-1)(10x+1)(x-4)(x+3)
6(3x+2y)(x-y)(5x+2)(x+1)
(x+5)(x+1)(x+9)(x-3)
(2x+1)(2x+1)(5x+4y)(5x-4y)
AB
CD
EF
1(x+7)(x-7)
(x-8)(x-2)(2x+1)(x+5)
(3x+1)(x+1)(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)
(x-8)(x+2)(2x+3)(x+2)
(x-9)(x+2)prim
e(x-7)(x-4)
4(x+6y)(x+2y)
(3x+2)(x-6)prim
e(x-8)(x+3)
(2x-3)(x-3)prim
e
5(x+2)(x+1)
(x+7)(x-2)(x+6y)(x-2y)(3x-1)(x+12)
(10x-1)(10x+1)(x-4)(x+3)
6(3x+2y)(x-y)(5x+2)(x+1)
(x+5)(x+1)(x+9)(x-3)
(2x+1)(2x+1)(5x+4y)(5x-4y)
Factoring Polynom
ials answer sheet
Factoring Polynom
ials answer sheet
AB
CD
EF
123456
AB
CD
EF
123456
−±
−−
66
43
123 2
bgbgbg
bg
22
41
821 2
±−
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bgbgbg
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−±
−14
1441
021 2bgbg bg
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−±
−5
542
422 2bgbgbg
bg
−±
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543
223 2bgbgbg
bg
33
41
421 2
±−
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bg−
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33
42
122 2bg
bgbgbg
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341
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00
43
1523
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77
41
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bg
−±
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33
41
1021
2bg
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−±
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55
41
121 2
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55
43
123 2
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bgbgbg
bg
44
41
121 2
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−bgbgbg
bg
22
42
322 2
±−
−−
bgbgbg
bg
88
41
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00
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1622
2±
−−
bgbgb
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2121
44
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341
721 2bg
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641
821 2bgbgbg
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441
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−−
bgbgb
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55
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bgbgbg
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24
411
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bgbgbg
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823 2bgbgbg
bg
−±
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44
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33
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66
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22
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021 2bgbg bg
bg
−±
−5
542
422 2bgbgbg
bg
−±
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543
223 2bgbgbg
bg
33
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±−
−bgbg bg
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122 2bg
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77
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55
43
123 2
±−
−−
bgbgbg
bg
44
41
121 2
±−
−bgbgbg
bg
22
42
322 2
±−
−−
bgbgbg
bg
88
41
121 2
±−
−bgbgbg
bg
00
42
1622
2±
−−
bgbgb
gbg
2121
44
024 2
±−
−bgbgbg
bg
−±
−3
341
721 2bg
bgbg
bg
−±
−−
44
42
822 2
bgbgbg
bg
−±
−−
22
41
521 2
bgbgbg
bg
55
41
421 2
±−
−bgbgbg
bg
−±
−6
641
821 2bgbgbg
bg
−±
−4
441
721 2bgbgbg
bg
00
41
1521
2±
−−
bgbgb
gbg
−±
−−
22
41
421 2
bgbgbg
bg
55
44
224 2
±−
−−
bgbgbg
bg
−±
−−
33
41
621 2
bgbgbg
bg
55
44
724 2
±−
−−
bgbgbg
bg
−±
−2
24
411
24 2
bgbgbg
bg
−±
−7
743
823 2bgbgbg
bg
−±
−3
345
025 2bg
bgbg
bg
55
41
621 2
±−
−bgbgbg
bg
77
41
521 2
±−
−bgbg bg
bg
44
41
221 2
±−
−−
bgbgbg
bg
33
44
124 2
±−
−bgbgbg
bg
Quadratic Formula answ
er sheet
Quadratic Formula answ
er sheet
AB
CD
EF
1y=-(x)²+2
y=(x-5)²-1y=(x-2)²
y=-(x+2)²+4y=-x²
y=(x+2)²+3
2y=(x-4)²-3
y=-(x+3)²-1y=(x-2)²+3
y=(x+1)²+5y=(x+1)²
y=-(x+6)²+2
3y=(x)²+3
y=x²y=x²-4
y=(x+4)²-3y=(x+3)²+1
y=-(x+2)²-3
4y=(x+2)²
y=-(x-4)²+3y=-(x+1)²
y=(x-3)²+1y=-(x)²+4
y=(x)²-2
5y=(x-2)²-4
y=(x-6)²-2y=(x+2)²-4
y=(x+6)²-2y=-(x)²-3
y=-(x-6)²+2
6y=(x-1)²+5
y=-(x-2)²y=-(x-2)²-3
y=(x-1)²y=(x-3)²+3
y=(x+5)²-1
AB
CD
EF
1y=-(x)²+2
y=(x-5)²-1y=(x-2)²
y=-(x+2)²+4y=-x²
y=(x+2)²+3
2y=(x-4)²-3
y=-(x+3)²-1y=(x-2)²+3
y=(x+1)²+5y=(x+1)²
y=-(x+6)²+2
3y=(x)²+3
y=x²y=x²-4
y=(x+4)²-3y=(x+3)²+1
y=-(x+2)²-3
4y=(x+2)²
y=-(x-4)²+3y=-(x+1)²
y=(x-3)²+1y=-(x)²+4
y=(x)²-2
5y=(x-2)²-4
y=(x-6)²-2y=(x+2)²-4
y=(x+6)²-2y=-(x)²-3
y=-(x-6)²+2
6y=(x-1)²+5
y=-(x-2)²y=-(x-2)²-3
y=(x-1)²y=(x-3)²+3
y=(x+5)²-1
Quadratic F
unctions answer sheet
Quadratic F
unctions answer sheet
AB
CD
EF
1(0,2)
(5,-1)(2,0)
(-2,4)(0,0)
(-2,3)
2(4,-3)
(-3,-1)(2,3)
(-1,5)(-1,0)
(-6,2)
3(0,3)
(0,0)(0,-4)
(-4,-3)(-3,1)
(-2,-3)
4(-2,0)
(4,3)(-1,0)
(3,1)(0,4)
(0,-2)
5(2,-4)
(6,-2)(-2,-4)
(-6,-2)(0,-3)
(6,2)
6(1,5)
(2,0)(2,-3)
(1,0)(3,3)
(-5,-1)
AB
CD
EF
1(0,2)
(5,-1)(2,0)
(-2,4)(0,0)
(-2,3)
2(4,-3)
(-3,-1)(2,3)
(-1,5)(-1,0)
(-6,2)
3(0,3)
(0,0)(0,-4)
(-4,-3)(-3,1)
(-2,-3)
4(-2,0)
(4,3)(-1,0)
(3,1)(0,4)
(0,-2)
5(2,-4)
(6,-2)(-2,-4)
(-6,-2)(0,-3)
(6,2)
6(1,5)
(2,0)(2,-3)
(1,0)(3,3)
(-5,-1)
Quadratic Functions2 answer sheet
Quadratic Functions2 answer sheet
AB
CD
EF
111
22
6
345
56
-83
9
67
-13
AB
CD
EF
111
22
6
345
56
-83
9
67
-13
Square Roots answ
er sheet
Square Roots answ
er sheet
210
2
82
92
63
63
163
63
23
−123
−53
65
−45
65
35
−25
106
117
1376
−97
115
27
−65
25
15−6
2
210
2
82
92
63
63
163
63
23
−123
−53
65
−45
65
35
−25
106
117
1376
−97
115
27
−65
25
15−6
2
AB
CD
EF
1up 4
flatter dow
n 2steeper
up 6flatter
steeper dow
n 5dow
n 2
2steeper dow
n 3steeper
down 3
flatter up 7
steeper steeper
3up 3
steeper flatter
down 4
flatter up 2
flatter dow
n 5flatter up 1
4flatter
up 2flatter up 4
steeper up 2
flatter dow
n 4flatter
5steeper
steeper dow
n 3steeper
down 1
steeper steeper dow
n 7
6steeper dow
n 1dow
n 4flatter
flatter dow
n 2steeper dow
n 3up 1
AB
CD
EF
1up 4
flatter dow
n 2steeper
up 6flatter
steeper dow
n 5dow
n 2
2steeper dow
n 3steeper
down 3
flatter up 7
steeper steeper
3up 3
steeper flatter
down 4
flatter up 2
flatter dow
n 5flatter up 1
4flatter
up 2flatter up 4
steeper up 2
flatter dow
n 4flatter
5steeper
steeper dow
n 3steeper
down 1
steeper steeper dow
n 7
6steeper dow
n 1dow
n 4flatter
flatter dow
n 2steeper dow
n 3up 1
Linear Parent Graphs Answer
sheet
Linear Parent Graphs Answer
sheet
AB
CD
EF
1dow
n 1left 1 dow
n 2 opens dow
nright 1
left 2 dow
n 4up 4
left 3 down 4
opens down
2right 1 dow
n 1left 1
down 5
opens down
left 1 down 1
opens down
right 4 dow
n 3left 3
3up 3
opens down
down 2
left 5 dow
n 1right 5 up 5
right 3left 5 dow
n 1 opens dow
n
4right 4
right 5 dow
n 2 o pens dow
ndow
n 3up 2
left 3 down 5
opens down
left 3 up 2
5right 2 up 4
up 1right 5 up 2
left 2 dow
n 1left 2
opens down
left 2 dow
n 2
6dow
n 4 opens dow
nright 3 up 5
right 3 up 1 opens dow
nleft 4
right 4 up 3
right 2
AB
CD
EF
1dow
n 1left 1 dow
n 2 opens dow
nright 1
left 2 dow
n 4up 4
left 3 down 4
opens down
2right 1 dow
n 1left 1
down 5
opens down
left 1 down 1
opens down
right 4 dow
n 3left 3
3up 3
opens down
down 2
left 5 dow
n 1right 5 up 5
right 3left 5 dow
n 1 opens dow
n
4right 4
right 5 dow
n 2 o pens dow
ndow
n 3up 2
left 3 down 5
opens down
left 3 up 2
5right 2 up 4
up 1right 5 up 2
left 2 dow
n 1left 2
opens down
left 2 dow
n 2
6dow
n 4 opens dow
nright 3 up 5
right 3 up 1 opens dow
nleft 4
right 4 up 3
right 2
Ab
so
lu
te
Va
lu
e
Pa
re
nt
Gr
ap
hs
an
sw
er
sh
ee
t
Ab
so
lu
te
Va
lu
e
Pa
re
nt
Gr
ap
hs
an
sw
er
sh
ee
t
AB
CD
EF
1y=|x|-1
y=-|x+1|-2y=|x-1|
y=|x+2|-4y=|x|+4
y=-|x+3|-4
2y=|x-1|-1
y=|x+1|y=-|x|-5
y=-|x+1|-1y=|x-4|-3
y=|x+3|
3y=-|x|+3
y=|x|-2y=|x+5|-1
y=|x-5|+5y=|x-3|
y=-|x+5|-1
4y=|x-4|
y=-|x-5|-2y=|x|-3
y=|x|+2y=-|x+3|-5
y=|x+3|+2
5y=|x-2|+4
y=|x|+1y=|x-5|+2
y=|x+2|-1y=-|x+2|
y=|x+2|-2
6y=-|x|-4
y=|x-3|+5y=-|x-3|+1
y=|x+4|y=|x-4|+3
y=|x-2|
AB
CD
EF
1y=|x|-1
y=-|x+1|-2y=|x-1|
y=|x+2|-4y=|x|+4
y=-|x+3|-4
2y=|x-1|-1
y=|x+1|y=-|x|-5
y=-|x+1|-1y=|x-4|-3
y=|x+3|
3y=-|x|+3
y=|x|-2y=|x+5|-1
y=|x-5|+5y=|x-3|
y=-|x+5|-1
4y=|x-4|
y=-|x-5|-2y=|x|-3
y=|x|+2y=-|x+3|-5
y=|x+3|+2
5y=|x-2|+4
y=|x|+1y=|x-5|+2
y=|x+2|-1y=-|x+2|
y=|x+2|-2
6y=-|x|-4
y=|x-3|+5y=-|x-3|+1
y=|x+4|y=|x-4|+3
y=|x-2|
Absolute Value
Parent Graphs 2 answer sheet
Absolute Value
Parent Graphs 2 answer sheet
AB
CD
EF
18 + 1/2x
2x8=1/3x
x³-4=112(14+x)
12+x=6
22(x-8)=2
14/x +3x-5
4+3x=x1/2x
12x=48
31/2x-2=7
3x+714-x=3
20-1/2x
4x-8=4x
4x+3x-9=11
15-5x=303(x-9)
2x-6
55(x+2)
9x=2+x15-n²=8
4x-1=11(x+15)²
4+3x
62(4x+3)
3(12-x)=118-x³
9/(4x)4(2x-8)
x³
AB
CD
EF
18 + 1/2x
2x8=1/3x
x³-4=112(14+x)
12+x=6
22(x-8)=2
14/x +3x-5
4+3x=x1/2x
12x=48
31/2x-2=7
3x+714-x=3
20-1/2x
4x-8=4x
4x+3x-9=11
15-5x=303(x-9)
2x-6
55(x+2)
9x=2+x15-n²=8
4x-1=11(x+15)²
4+3x
62(4x+3)
3(12-x)=118-x³
9/(4x)4(2x-8)
x³
Words to Expressions answer sheet
Words to Expressions answer sheet
182
−x
x−
3
182
−x
x−
3
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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