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Worksheets

YEAR IN REVIEW SO FAR

Total questions: 129

Worksheet time: 2hrs 9mins

Name
Class
Date
1.
What is the solution for x + 9 = 21
a)
10
b)
12
c)
11
d)
13
2.
Solve for b
2b = -16
a)
8
b)
4
c)
-8
d)
3
3.
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
4.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
5.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
6.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
7.
Which expression is equivalent to
v + v + v + v + v?
a)
5v
b)
v5
c)
v + 5
d)
v5
8.
n +10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n + 7
9.
Combine like terms
3x + 2x + 11y - 7y
a)
5x + 10y
b)
5x - 4y
c)
5x + 4y
d)
5x -10y
10.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
11.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
12.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
13.
Which expression is equivalent to:
d + d + d + 3 + 2
a)
3d + 5
b)
d + 5
c)
2d + 7
d)
3d + 4
14.
3x2-x+2-5x2+8x-5
a)
8x2+9x+7
b)
-2x2+7x-3
c)
2x2+7x-3
d)
5x2-3
15.
-x2+7x-10+4x2-6x+8
a)
4x2+13x+18
b)
3x2-x+2
c)
3x2+x-2
d)
6x2-2x-2
16.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
17.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
18.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
19.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
20.
Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0
a)
y=-3
b)
y=3x
c)
y=-3x
d)
x=-3
21.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

22.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

23.

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

a)

y-8=5(x-3)

b)

y=5x+8

c)

y-3=5(x-8)

d)

y-y1= m(x-x1)

24.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

25.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

26.
True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
27.
What is the x-intercept?
a)
12
b)
-3
c)
8
d)
0
28.

What is the y-intercept?

a)

12

b)

-3

c)

8

d)

0

29.
Given the list of ordered pairs, what is the x-intercept?
(8,10),  (3, -4),  (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
30.

Given the list of ordered pairs, what is the y-intercept?

(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

10, -4, 8, -3, 0

c)

(0,8)

d)

(9,0)

31.
What is the x and y intercept for the following equation ?
4x - 10y = 20
a)
x - int = 4    
y-int = -10
b)
x-int = 5
y-int = 2
c)
x - int = 5
y int = -2
d)
x -int = 4
y -int = -10
32.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
33.
Give the y-interecept
3x + y = 5
a)
(-3, 0)
b)
(0,5)
c)
(5, 0)
d)
(0, -3)
34.

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

a)
b)
c)
d)
35.

Identify the graph with a x-intercept of -2 and y-intercept of 2

a)
b)
c)
d)
36.

Identify the x-intercept of the following linear equation written in standard form.


-8x - 4y = 8

a)

(-1, 0)

b)

(0, -1)

c)

(-2, 0)

d)

(0, -2)

37.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
38.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
39.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
40.
For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
41.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 4 = -1/4(x - 7)
d)
y - 7 = -1/4(x - 4)
42.
For the equation 
y - 4 = -1/3(x - 7), 
what are the coordinates for the point?
a)
(4, 7)
b)
(-7, - 4)
c)
(7, 4)
d)
(-4, -7)
43.

What is the slope of the equation y - 2 = -6( x + 6)

a)

2

b)

6

c)

-2

d)

-6

44.

Level 1: For the equation

y - 3 = 2(x + 4),

which of the following is true?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

45.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 17
d)
x ≤ 10
46.
14 < -2a + 6 - 2a
a)
a > -2
b)
a < -2
c)
a > 5
d)
a < -5
47.
4(2a + 3) < 3(a - 1)
a)
a < -3
b)
a > -3
c)
a < 3
d)
a > 3
48.
Solve.
a)
a > -24
b)
a > 6
c)
a > -36
d)
a > -10
49.
28 − k ≥ 7(k − 4)
a)
k ≥ -7
b)
k ≤ -7
c)
k ≥ 7
d)
k ≤ 7
50.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
51.

Which point below is NOT part of the solution set?

a)

(0, -2)

b)

(1, 1)

c)

(3, 3)

d)

(2, 10)

52.
Is (-1, 0) a solution to this inequality?
a)
Yes
b)
No
53.
Is (-2, 4) a solution to this inequality?
a)
Yes
b)
No
54.
Is (0, 0) a solution to this inequality?
a)
Yes
b)
No
55.
Which of the following inequalities matches the graph?
a)
y < -4x - 1
b)
y > -4x - 1
c)
y ≤ -4x - 1
d)
y ≥ -4x - 1
56.
Which of the following inequalities matches the graph?
a)
y ≤ 3/4x + 5
b)
y ≥ 3/4x + 5
c)
y < 3/4x + 5
d)
y > 3/4x + 5
57.
Which of the following inequalities matches the graph?
a)
x > -2
b)
x < -2
c)
y > -2
d)
y < -2
58.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
59.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
60.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
61.

What type of line is used with the following symbols, < and >?

a)

dashed or dotted

b)

solid

62.

What type of line is used with the following symbols, < and >?

a)

dashed or dotted

b)

solid

63.
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
64.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
65.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
66.
When you graph the exact same equation twice,
a)
you will have no solution. 
b)
you will have one solution.
c)
you will have infinite solutions. 
d)
you will graph a giraffe. 
67.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
68.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
69.
What is the first step in solving a system by Substitution?
a)
Make sure both equations are in standard form.
b)
Make sure at least one equation is solved for one variable.
c)
Make sure both equations are in slope-intercept form.
d)
Make sure both equations can be solved.
70.
Solve this system of equations. 
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
71.
y = -2x + 5
y = 2x - 11
a)
No Solution
b)
(0, 0)
c)
(3, -1)
d)
(4, -3)
72.
Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 
a)
(-2, -1)
b)
(1, -2)
c)
(-2, 1)
d)
(-1, -2)
73.
Solve:
y = 2x -11
-3y = -6x -15
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
74.
4x +  8y = 20
-4x + 2y = -30
Which variable will be eliminated?
a)
The  x
b)
The  y
c)
The  z
d)
The unknown
75.
Solve by elimination:
4x+9y=28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
76.
Solve by elimination:
3x+7y=23

-3x-7y=-17
a)
No solution
b)
ARN
c)
(-3,3)
d)
(3,3)
77.
Solve by elimination:
-x+2y=17

2x+2y=-10
a)
ARN
b)
(-9,4)
c)
(-9,-4)
d)
(9,-4)
78.
Solve by elimination 
2x+9y= -7 
6x-3y= 9 
a)
(-1, -1) 
b)
(2,-1)
c)
(1,1)
d)
(1,-1)
79.
Solve the system by elimination.  

−8x − 10y = 20
−8x − 6y = −4 
a)
Infinite number of solutions  
b)
(6, 5) 
c)
(−6, −5) 
d)
(5, −6) 
80.
Simplify:  (-4)2
a)
-8
b)
16
c)
-16
d)
8
81.
Simplify:  (m9)2
a)
m11
b)
2m9
c)
m18
d)
m4.5
82.

Simplify completely: 4243

a)

1024

b)

46

c)

165

d)

45

83.
Simplify:  (-5p)2
a)
-25p2
b)
25p2
c)
-5p2
d)
5p2
84.
Simplify:  (2x/3)4
a)
(8x)/12
b)
(16x4)/81
c)
(8x)/81
d)
(2x4)/81
85.
Simplify:  x10⋅x4
a)
x40
b)
x14
c)
x6
d)
2x14
86.
Simplify:  (5p9q3)(2pq7)
a)
7p10q10
b)
10p9q21
c)
10p10q10
d)
10p8q-4
87.
Simplify:  (6m7)/(4m3)2
a)
(6m)/16
b)
(3/8)m
c)
3/(8m)
d)
(3m)/4
88.
Simplify:  x8/x2
a)
x16
b)
x4
c)
x5
d)
x6
89.

Simplify: 7p0

a)

7

b)

1

c)

simplified

d)

7p

90.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
91.
a)
Function
b)
Not a Function
92.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
93.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
94.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
95.
Which of these is NOT the same
a)
Range
b)
Input
c)
Dependent Value
d)
Y-Value
96.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
97.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
98.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
99.
Given the points (3, 5) (2, 4) (9, 0)  and  (?, 6). What could replace the ? to create a non-function? 
a)
1
b)
3
c)
4
d)
7
100.
Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 
a)
(3, 7)
b)
(4, 1) 
c)
(1, 9)
d)
(2, 6)
101.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
102.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
103.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
104.
If f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
105.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

106.

Factor using GCF or monomial factoring:

2n2-8n3

a)

2n2(n-4n2)

b)

2n2(1-4n)

c)

2n3(10-8n2)

d)

3n(1-4n)

107.

What is the common monomial factor of 6x3+3x2−12x6x^3+3x^2-12x  ?

a)

33  

b)

2x2x  

c)

3x3x  

d)

3x23x^2  

108.

Factor:  16−x4y216-x^4y^2  

a)

(4+xy)(4−xy)\left(4+xy\right)\left(4-xy\right)  

b)

(8+x2y)(8−x2y)\left(8+x^2y\right)\left(8-x^2y\right)  

c)

(8+xy)(8−xy)\left(8+xy\right)\left(8-xy\right)  

d)

(4+x2y)(4−x2y)\left(4+x^2y\right)\left(4-x^2y\right)  

109.

The factored form of m2 + 6m + 5 is

(m+2)(m+ 3)

a)

true

b)

false

110.
Factor
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
111.
A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?
a)
4x - 3
b)
4x + 3
c)
2x + 6
d)
2x + 3
112.
Factor completely: x2+16x+64
a)
(x+4)(x+16)
b)
(x-8)(x-8)
c)
(x+2)(x+32)
d)
(x+8)(x+8)
113.
Factor completely: x2-13x+40
a)
(x-5)(x-8)
b)
(x+5)(x+8)
c)
(x-4)(x-10)
d)
(x-2)(x-20)
114.
Factor:
2x² + 13x + 15
a)
(2x + 1)(x + 15)
b)
(x + 3)(x + 5)
c)
(2x - 3)(x - 5)
d)
(2x + 3)(x + 5)
115.

Hypotenuse

a)

Vertical side in a right triangle

b)

Longest side in a right triangle

c)

Horizontal side in a right triangle

d)

a2 + b2 = c2

116.

What is a right triangle?

a)

A triangle where all sides equal 90 degrees

b)

A triangle where every angle is 90 degrees

c)

A triangle where all three sides are equal

d)

A triangle where there is a 90 degree angle

117.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

118.

Which choice represents the legs?

a)

a and b

b)

a

c)

b

d)

c

119.

The first Pythagorean Triple is ______

a)

1 - 2 - 3

b)

2 - 3 - 4

c)

3 - 4 - 5

d)

1 - 1 - 2

120.

When do we use the Pythagorean Theorem?

a)

To find a missing angle in a right triangle

b)

To find the missing length of a right triangle

c)

To find the area of a right triangle

d)

To find the slope of a right triangle

121.

Define a Pythagorean Triple

a)

When all three sides of a right triangle are whole numbers

b)

Three sides are equal lengths

c)

Two sides are equal in length

d)

When you add every number together to find the missing length

122.

Define the term 'right angle'

a)

Three angles in a right triangle

b)

When two angles in a triangle are 90 degrees

c)

Any angle less than 90 degrees

d)

A 90 degree angle

123.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 + b2 + c2

d)

A = LW

124.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

125.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

126.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

127.
An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?
a)
65 miles
b)
89 miles
c)
45.4 miles
d)
We don't have enough information.
128.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in 
d)
14.3 in
129.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

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