Free Printable 8th grade review

1.

y + 6 = 20

a)

y = 22

b)

y = 13

c)

y = 14

d)

y = 16

2.

x - 10 = 12

a)

22

b)

-22

c)

2

d)

-2

3.

12 + z = 15

a)

-3

b)

3

c)

-27

d)

27

4.

2 + n =16

a)

18

b)

-18

c)

14

d)

-14

5.

a + 4 = 14

a)

-10

b)

10

c)

-18

d)

18

6.

m - 5 = -10

a)

-15

b)

15

c)

-5

d)

5

7.

4 + b = 30

a)

-34

b)

34

c)

-26

d)

26

8.

x - 60 = 20

a)

-80

b)

80

c)

-40

d)

40

9.

g - 16 = 4

a)

-12

b)

12

c)

-20

d)

20

10.

x - 15 = -20

a)

-5

b)

5

c)

-35

d)

35

11.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

12.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

13.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

14.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

15.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

16.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

17.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

18.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

19.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

20.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

21.

a)

A

b)

B

c)

C

d)

D

22.

Solve.
(x/4) + 10 = 34

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

23.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

24.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

25.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

26.

30 + 6t = 11t

a)

3

b)

5

c)

6

d)

30

27.

5 - 2t = 3t

a)

1

b)

5

c)

3

d)

2

28.

What letter represents the slope in the equation y = mx + b ?

a)

x

b)

y

c)

m

d)

b

29.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

-3

b)

7

c)

-3/7

d)

3

30.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

31.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

32.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

33.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

34.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

35.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

36.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

37.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

38.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

39.

Write in slope-intercept form:
-3x + 4y = 12

a)

y = 3/4x + 3

b)

y = -3/4 x + 3

c)

y = -4x + 3

d)

y = 4x + 3

40.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

41.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

42.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

43.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

44.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

45.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

46.

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)

47.

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

48.

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 + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

49.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

50.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

51.

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

52.

8(m + 2)< 4(5 + 2m)

a)

no solution

b)

m < -2

c)

all real numbers

d)

m > 4

53.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

54.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

55.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

56.

a)

A)

b)

B)

c)

C)

d)

D)

57.

a)

A)

b)

B)

c)

C)

d)

D)

58.

Which of the following inequalities matches the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

59.

a)

A

b)

B

c)

C

d)

D

60.

Write the inequality in slope-intercept form:
-10x + 2y > 14

a)

y < 10x + 12

b)

y > 10x + 7

c)

y < 5x + 7

d)

y > 5x + 7

61.

Write the inequality in slope-intercept form:
5x - y ≤ 16

a)

y ≤ 5x + 16

b)

y ≤ 5x - 16

c)

y ≥ 5x + 16

d)

y ≥ 5x - 16

62.

Identify the quadrants included in the solution to:
y ≥ -3x + 4

a)

Quadrants I, II, and III

b)

Quadrants I, II, and IV

c)

Quadrants I and II

d)

Quadrants I and IV

63.

Identify the quadrants included in the solution to:
x - y ≤ 1

a)

Quadrants I, II, and III

b)

Quadrants I, III, and IV

c)

Quadrants I, II, III, and IV

d)

Quadrants I and II

64.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

65.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

66.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

67.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

68.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

69.

Solve using substitution.
x - 2y = 2
3x + 4y = 3

a)

(1.4, -0.3)

b)

(3.1, 5)

c)

(-2.5, 3.5)

d)

(6.9, 1.02)

70.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

71.

Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

72.

y = -6x + 5
-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

73.

A system of linear equations is...

a)

Math Magic

b)

One Equation

c)

Always more than 2 equations

d)

A set of 2 or more equations

74.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

75.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

76.

Which of the following are ways to solve systems of equations?

a)

Graphing

b)

Substitution

c)

Elimination

d)

All of the above

77.

Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

78.

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

a)

(-3, -25)

b)

(3,-7)

c)

(11, 17)

d)

(21, 47)

79.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

80.

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

81.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

82.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

83.

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

84.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

85.

a)

Function

b)

Not a Function

86.

a)

Function

b)

Not a Function

87.

a)

Function

b)

Not a Function

88.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

89.

Is this table a function or not a function?

a)

Function

b)

Not a Function

90.

Is this table a function or not a function?

a)

Function

b)

Not a Function

91.

What is the domain of the graph?

a)

1≤ x ≤ 4

b)

1 < x < 4

c)

1≤ y ≤ 4

d)

1 < y < 4

92.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

93.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

94.

a)

Function

b)

Not a Function

95.

a)

Function

b)

Not a Function

96.

If h(a) = 3 - 2a
Find h(-3).

a)

12

b)

-2

c)

-3

d)

9

97.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

98.

If f(x)=6x²-4,
what is f(0)?

a)

-4

b)

4

c)

0

d)

2

99.

If f(x)=6x²-4,
what is f(1)?

a)

13

b)

0

c)

12

d)

2

100.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

101.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

a)

After 5 week the plant is 4 inches tall

b)

The plant grows at a rate of 5/4 inch per week

c)

After 4 weeks the plant is 5 inches tall

d)

The plant grows at a rate of 1 inch per week

102.

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(7) represent?

a)

A cost of $7 to ride the taxi

b)

The cost to ride 7 miles

c)

The minimum distance to ride a taxi

d)

The minimum cost of a taxi

103.

What is the domain of the graph?

a)

y≥1

b)

x ≥ 1

c)

All real numbers

d)

none of these

104.

What is the domain?

a)

x = 2

b)

−∞ < x < ∞

c)

y = 2

d)

none of these

105.

What is the range of the graph?

a)

y≥1

b)

x≥1

c)

All real numbers

d)

none of these

106.

√81

a)

9

b)

10

c)

8

d)

6

107.

√100

a)

15

b)

10

c)

11

d)

12

108.

√4

a)

3

b)

4

c)

2

d)

1

109.

√16

a)

4

b)

8

c)

2

d)

9

110.

√121

a)

12

b)

10

c)

11

d)

3

111.

√256

a)

14

b)

16

c)

13

d)

17

112.

√361

a)

18

b)

19

c)

16

d)

17

113.

5²

a)

16

b)

25

c)

20

d)

10

114.

11²

a)

132

b)

144

c)

121

d)

22

115.

(3⁴)(3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

116.

(x⁸)(x^-5)

a)

x^-40

b)

x^-13

c)

x¹³

d)

x³

117.

(5⁸) / (5³)

a)

5⁵

b)

1⁵

c)

5¹¹

d)

1¹¹

118.

(v^-5) / (v^-9)

a)

v^-14

b)

v⁴

c)

1/v⁴

d)

1/v¹⁴

119.

(8⁵)³

a)

8⁸

b)

8¹⁵

c)

8²

d)

1/8²

120.

(t^-6)^-5

a)

t^-11

b)

t^-30

c)

t³⁰

d)

t¹¹

121.

4^-8

a)

1⁸/4

b)

4⁸/1

c)

4/1⁸

d)

1/4⁸

122.

x^-42

a)

1⁴²/x

b)

x⁴²/1

c)

x/1⁴²

d)

1/x⁴²

123.

7⁰

a)

7¹

b)

0¹

c)

1

d)

7

124.

(3x)⁰

a)

(3x)¹

b)

0¹

c)

1

d)

3x

125.

Simplify
(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

126.

Simplify
(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

127.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

128.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

129.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

130.

√96

a)

16√6

b)

2√6

c)

4√6

d)

√2

131.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

132.

In simplest radical form,
√75 is equivalent to

a)

25√3

b)

25√3

c)

5√3

d)

3√5

133.

Simplify the radical - 6√90

a)

10√8

b)

10√18

c)

18√10

d)

18√9

134.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

135.

2√5 - √5 + 4√5 + √3

a)

6√5 + √3

b)

5√5 + √3

c)

6√5

d)

6√3

136.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

137.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

138.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

a)

^.08

b)

^1.08

c)

.92

d)

8

139.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

140.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

141.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

142.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

143.

Is this exponential growth or decay?

a)

Growth

b)

Decay

144.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

145.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

146.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

147.

Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

148.

Write the explicit formula for the geometric sequence.

a)

a_n = 10(2)^n-1

b)

a_n = 2(10)^n-1

c)

a_n = 10(2)ⁿ

d)

a_n = 2(10)ⁿ

149.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

150.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

151.

Find the first term of the given sequence:
a₁₄=68
d=3

a)

14

b)

20

c)

26

d)

29

152.

Give the correct name for

3x

a)

Cubic Monomial

b)

Linear Binomial

c)

Linear Monomial

d)

Cubic Binomial

153.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

154.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

155.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

156.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

157.

(2x + 1)(x - 3)

a)

-3x - 3

b)

2x² + 5x - 3

c)

2x² - 5x - 3

d)

2x² - 5x +3

158.

(3x - 2)(6x + 1)

a)

21x²

b)

18x² + 9x + 2

c)

9x² - 9x - 2

d)

18x² - 9x - 2

159.

(2x + 3)(x² + 4x + 1)

a)

2x³ + 10x² + 14x + 4

b)

2x³ + 11x² + 14x + 3

c)

-2x³ - 11x² + 14x + 5

d)

x³ - 11x² + 14x + 3

160.

Find f(2) if f(x) = (x-4)(x-4)

a)

4

b)

-4

c)

0

d)

-3

161.

find f(-2) if f(x) = (x-3)²

a)

-25

b)

25

c)

1

d)

-1

162.

What are the values of x when y = 0?

a)

{ -3, 1 }

b)

{ -2 }

c)

{ -3, -1 }

d)

{ 1, 3 }

163.

Solve for the values of x:
(2x + 5)(5x - 2) = 0

a)

{ -5/2, -2/5 }

b)

{ -5/2, 2/5 }

c)

{ 5/2, 2/5 }

d)

{ 5/2, -2/5 }

164.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

165.

Solve for the values of x:
(x - 5)(x - 1) = 0

a)

{ 5, 1 }

b)

{ 5, -1 }

c)

{ -5, 1 }

d)

{ -5, -1 }

166.

Solve for the values of x:
(x - 3)(x + 6) = 0

a)

{ -3, -6 }

b)

{ 3, -6 }

c)

{ -3, -6 }

d)

{ 3, 6 }

167.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

168.

What is the first step in solving
(x + 2)(x - 3) = 0 ?

a)

Plug in zero for x

b)

Solve for x

c)

FOIL

d)

Set each binomial factor equal to zero

169.

Factor x²-20x+51

a)

(x-17)(x+3)

b)

(x+17)(x+3)

c)

(x+17)(x-3)

d)

(x-17)(x-3)

170.

Factor x²-x-72

a)

(x-9)(x+8)

b)

(x+9)(x-8)

c)

(x+9)(x-8)

d)

(x-9)(x-8)

171.

Factor x²-11x-60

a)

(x-12)(x-5)

b)

(x-15)(x+4)

c)

(x-15)(x-4)

d)

(x+12)(x-5)

172.

Factor x²-14x+24

a)

(x-8)(x+3)

b)

(x+12)(x-2)

c)

(x+8)(x+3)

d)

(x-12)(x-2)

173.

Factor x²+12x+20

a)

(x-4)(x+5)

b)

(x+10)(x+2)

c)

(x-10)(x-2)

d)

(x+4)(x+5)

174.

Factor x²-6x+8

a)

(x-4)(x-2)

b)

(x+4)(x+2)

c)

(x-4)(x+2)

d)

(x+4)(x-2)

175.

Factor x²-2x-15

a)

(x+5)(x-3)

b)

(x-5)(x-3)

c)

(x-5)(x+3)

d)

(x+5)(x+3)

176.

Factor x²+4x-32

a)

(x+8)(x-4)

b)

(x-8)(x-4)

c)

(x-8)(x+4)

d)

(x+8)(x+4)

177.

x²-x-12

a)

(x+6)(x+2)

b)

(x-4)(x+3)

c)

(x+4)(x+3)

d)

(x-4)(x-3)

178.

Factor x²-8x+7

a)

(x+1)(x+8)

b)

(x+1)(x+7)

c)

(x-7)(x-1)

d)

(x+1)(x-7)

8th grade review

Total questions: 178

Worksheet time: 5hrs 37mins

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