Free Printable Unit 6 Test Review

1.

a mathematical statement that compares 2 values, showing that one is greater than or less than the other

a)

EXPRESSION

b)

EQUATION

c)

INEQUALITY

2.

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

5x + 3y

a)

EXPRESSION

b)

EQUATION

c)

INEQUALITY

3.

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

5 > 3

a)

EXPRESSION

b)

EQUATION

c)

INEQUALITY

4.

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

6g < 23

a)

EXPRESSION

b)

EQUATION

c)

INEQUALITY

5.

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

19 + x = 4

a)

EXPRESSION

b)

EQUATION

c)

INEQUALITY

6.

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

8c - 4y + 2

a)

EXPRESSION

b)

EQUATION

c)

INEQUALITY

7.

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

12 = 2s

a)

EXPRESSION

b)

EQUATION

c)

INEQUALITY

8.

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

4 + 2

a)

EXPRESSION

b)

EQUATION

c)

INEQUALITY

9.

What is the coefficient of x?
5x - y

a)

8

b)

1

c)

5

d)

-5

10.

Evaluate.

3 + 3²- 5

(a)

11.

How many terms are in this expression?
3 + 7 - 4

a)

1

b)

2

c)

3

d)

6

12.

Which of the following is equivalent to 7⁴?

a)

7 x 4

b)

4 x 4 x 4 x4 x4 x4 x 4

c)

7 x 7 x 7 x7

d)

28

13.

What step would I do second?

(4 - 2)9 + 7 =

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

14.

A term is ...

a)

a part of an expression separated by + and - signs

b)

a symbol that represents a number

c)

a number that stands alone, without a variable

d)

a number that is connected to a variable

15.

What is a constant?

a)

Parts of an expression separated by + and - signs

b)

a letter or symbol that represents a number

c)

a number that stands alone, without a variable

d)

a number that is connected to a variable

16.

In the following expression, the number 7 is an example of _____________?
5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

17.

In the following expression, the number 11 is an example of _____________?
5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

18.

Identify the variable in the expression 5y+7?

a)

x

b)

5y

c)

y

d)

7

19.

Identify the coefficient in the expression.
6y + 7

a)

6y

b)

7

c)

6

d)

1

20.

Identify the constant:

7c + 8 y + 32

a)

7

b)

c

c)

y

d)

32

e)

8

21.

Identify the coefficient of the second term:

-9b + 4x - 9

a)

-9

b)

9

c)

4

d)

b

e)

x

22.

A variable is a ________________ or __________________ that represents an unknown value.

a)

letter or symbol

b)

term or expression

c)

constant or coefficient

d)

noughts or crosses

23.

An Algebraic Expression is a mathematical phrase that includes at least one ___________________.

a)

variable

b)

coefficient

c)

constant

d)

Sponge Bob

24.

The coefficient is a number multiplied by a variable. It is the number in _______________ of the variable.

a)

in front

b)

behind

25.

Which number is the BASE?

2³= 8

a)

2

b)

3

c)

8

26.

What is the value of 100⁰?

a)

1

b)

0

c)

100

d)

1000

27.

Find the value of 2³

a)

2

b)

4

c)

6

d)

8

28.

What is the value of 4³?

a)

12

b)

7

c)

64

d)

16

29.

Write the following in exponential form:

4 x 4 x 4 x 4 x 4

a)

4⁵

b)

5⁴

c)

4⁶

d)

4⁶

30.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

31.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

32.

Write

7^5

in expanded form

a)

7 x 2

b)

526

c)

7x 7 x 7 x 7 x 7

d)

35

33.

$4^5$

What is this in expanded form?

a)

5 x 5 x 5 x 5

b)

4 x 4 x 4 x 4

c)

5 x 5 x 5 x 5 x 5

d)

4 x 4 x 4 x 4 x 4

34.

$2^{5\ }$ is the same as 2 x 5.

a)

True

b)

False

35.

What is the coefficient of y?

5x - y

a)

8

b)

1

c)

5

d)

-5

36.

Evaluate.

(4 - 2)9 + 7 =

(a)

37.

Evaluate.

9 x 11 - 10

(a)

38.

Evaluate.

10 - 8 / 2

(a)

39.

Evaluate.

100 / 4 x 9

(a)

40.

10² - 6² / 9

(a)

41.

What is the coefficient in the expression 5a + 7?

a)

+

b)

a

c)

5

d)

7

42.

How many terms are in the expression 7a + 4b - 3?

a)

0

b)

2

c)

3

d)

5

43.

In the following equation, what is the constant that would be represented by b?

7 = 3x + 1

a)

1

b)

2

c)

3

d)

7

44.

Which of the following is a linear expression?

a)

3x - 2 = 13

b)

9x + 1 > 19

c)

2x + 7

d)

8x² - 6

45.

Can you simplify 6x + 1?

a)

Yes, you can add 6 and 1

b)

Yes, you can add 6x and 1

c)

No, you can't add them because they are not "like terms."

46.

A linear equation will create what when graphed?

a)

Circle

b)

Line

c)

Parabola

d)

Wave

47.

What is the first step to solve this equation?
5x + 7 = 7x - 13

a)

Add 5x to both sides of the equation

b)

Subtract 5x from each side of the equation

c)

Add 7 to each side of the equation

d)

Add 5x and 7, and subtract 13 from 7x

48.

Solve:

3x + 9 + 5x - 2

a)

8x + 7

b)

8x + 11

c)

12x + 3x

d)

15x

49.

Simplify this expression using distributive property.

4(3x - 7)

a)

12x - 28

b)

12 x - 7

c)

40x

d)

4(10x)

50.

Simplify this expression using distributive property.

-5(6x + 3)

a)

-30x + 3

b)

-30x - 15

c)

-45x

d)

-5(9x)

51.

Simplify this expression using distributive property.

-2(9x - 4)

a)

-18x - 4

b)

-18x - 8

c)

-18x + 8

d)

-18x - 4

52.

Factor this expression using the distributive property.

8x + 2

a)

8(x + 2)

b)

2(4x + 2)

c)

2(4x + 1)

d)

10x

53.

Factor this expression using the distributive property.

6x + 15y

a)

6(x + 15y)

b)

3(2x + 5y)

c)

3(2x + 15y)

d)

21xy

54.

Solve for x.

4(3x - 6) = 60.

a)

5

b)

6

c)

7

d)

8

55.

Solve for x.

-3(2x + 8) = -18

a)

-2

b)

-1

c)

1

d)

2

56.

Solve for x.

5x - 9 = 2x + 3

a)

2

b)

3

c)

4

d)

5

57.

Solve for x.

-3x + 8 = 4x - 27

a)

-5

b)

-2

c)

2

d)

5

58.

Solve for x.

-5x +2 = 2x +44

a)

-6

b)

-3

c)

3

d)

6

59.

$24\ >\ 8\left(2x\ -\ 9\right)\$

a)

5

b)

6

c)

7

d)

8

60.

$-15\ \le\ -3\left(3x\ -1\right)\$

a)

2

b)

3

c)

4

d)

5

61.

$6x\ -\ 5\ \le\ 2x\ -1$

a)

-2

b)

-1

c)

1

d)

2

62.

$-10x\ +\ 2\ <5x\ -43$

a)

-3

b)

-1

c)

1

d)

3

63.

5(2x - 7) = 80

a)

x = 11.5

b)

x = 115

c)

x = 12

d)

x = 16

64.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

65.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

66.

1. Ted bought a poster for $12. He now has $5. If m is the money he started with, which equation represents this situation?

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

12 - 5 = m

67.

Which answer is NOT a solution to the inequality:

x - 10 > 5

a)

17

b)

14

c)

19

d)

21

68.

Which value for x would make this statement true:

x + 3 < 5

a)

1

b)

2

c)

8

d)

11

69.

What inequality does the number line graph represent?

a)

4 < x

b)

x > 4

c)

x < 4

70.

Charity needs to get a score of higher than 89 to get an A on her next math test.

a)

s > 89

b)

s < 89

c)

s > 89

d)

s < 89

e)

s = 89

71.

To use one stamp, your letter must be under 3.5 ounces. Which inequality represents this situation?

a)

L > 3.5

b)

L < 3.5

c)

L = 3.5

72.

Solve the inequality:

x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

73.

Solve the equation:

x/5 = 6

a)

x = 5

b)

x = 6

c)

x = 10

d)

x = 30

74.

Evaluate the following expression if x=10

x² - 2(x+5)

a)

10

b)

70

c)

85

d)

90

75.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

76.

Solve for x

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

77.

Solve:
8m - 9 > 71

a)

m > 10

b)

m > 1

c)

m < 1

d)

m > -48

78.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

79.

Solve:

-3x + 5 = -13

a)

x = -5

b)

x = 2

c)

x = -6

d)

x = 6

80.

Solve:

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

81.

Write the inequality for the following graph:

a)

x ≥ 4

b)

x ≤ 4

c)

x > 4

d)

x < 4

82.

Solve this inequality:

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

83.

Solve the inequality: -3x + 4 > -2

a)

x < -1

b)

x > -1

c)

x < 2

d)

x > 2

84.

Joe earns $25 per yard he mows in the summer. If he also makes a one time amount of $100 for babysitting his brother, write an equation that can be used to determine the number of yards (y) he will need to mow to go to Italy for $3,100.

a)

25y - 100 = 3,100

b)

3,100 - 100 = 25y

c)

25y + 100 = 3,100

d)

100y + 25 = 3,100

85.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents the number of hours (h) of lessons Kasey took if the total cost was $39.

a)

11 + 6h = 39

b)

11h - 6 = 39

c)

11h + 6 = 39

d)

66h = 39

86.

5x + 6 = 41

a)

x = -7

b)

x = 6

c)

x = 7

d)

x = -6

87.

Consider the inequality.
x + 3x < 24
Which value of x makes the inequality true?

a)

5

b)

6

c)

7

d)

8

88.

Clean fast charges $2 per window plus a $15 fee. Write an equations for x amount of windows being cleaned for $100.

a)

2+15x=100

b)

2x+15=100

c)

2x-100=15

d)

100-2x=15

89.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

90.

What is an equation?

a)

A math problem.

b)

A mathematical phrase involving variables, numbers, and operations.

c)

A mathematical statement that uses an equal sign to show that two or more expressions are equal.

d)

A Math equation.

91.

Simplify the expression:

7x + 12 + 4x + 10

a)

11x+22

b)

33x

c)

19x+14

d)

14x+45

92.

Evaluate the equation. $n-32.5=17.34$

a)

n = 15.16

b)

n = 49.39

c)

n = 14.71

d)

n = 49.84

93.

$8.6\ +n=14.3$

a)

n = 6.24

b)

n = 5.7

c)

n = 5.43

d)

n = 22.9

94.

$n-23\le48$ Which are solutions for the given inequality?

a)

n = 71, 23, 12

b)

n = 78, 55, 32

c)

n = 71, 83, 99

d)

n = 70, 83, 102

95.

$\frac{x-2}{5}=10$

a)

48

b)

52

c)

2

d)

4

96.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

97.

True or false:

In order of operations, addition ALWAYS comes before subtraction.

a)

True

b)

False

98.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

99.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

100.

$8\div\left(-4\right)\times\left(-6\right)^2+7$

(a)

101.

$10\times5-\left(-6\right)^2+\left(-8\right)$

(a)

102.

Solve:
3x ≥ 27

a)

x ≥ 9

b)

x > 9

c)

x ≤ 9

d)

x < 9

103.

Solve the equation:
3x + 2 = 20

a)

x = 2

b)

x = 7

c)

x = 9

d)

x = 6

104.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

105.

3y+6+4y-7=-8

a)

y=-1

b)

y=-8

c)

y=1

d)

y=7

106.

6(6v +6) - 5 = 1 + 6v

a)

1

b)

-1

c)

no solution

d)

all real numbers

107.

$-2v\ +\ v\ =\ 3$

a)

4

b)

$-5$

c)

$-3$

d)

5

108.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

109.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

110.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

111.

3x²-x+2-5x²+8x-5

a)

8x²+9x+7

b)

-2x²+7x-3

c)

2x²+7x-3

d)

5x²-3

112.

Which of the following is equivalent to 5(a + 6)?

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

113.

a)

35x+7

b)

35x-1

c)

35x-7

d)

-35x-7

114.

Simplify the expression
11(9 + d)

a)

99 + d

b)

20 + 9d

c)

20 + d

d)

99+11d

115.

5a(10c+3)

a)

50ac + 15a

b)

5a+10c+3

c)

5a x 10c + 5 a x 3

d)

5ac + 10 + 3

116.

Simplify the expression completely.

5\left(n+3\right)+4n

a)

$9n+15$

b)

$9n+3$

c)

$24n$

d)

$25n+15$

117.

Which expressions are equivalent to

16x+24

?

Mark ALL that apply.

a)

$2\left(8x+12\right)$

b)

$4\left(4x+6\right)$

c)

$6\left(3x+4\right)$

d)

$\left(2x+3\right)8$

118.

Solve the following equation.
4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

119.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

120.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

121.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

122.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

123.

-3 + x ≤ -11

a)

x ≤ -8

b)

x ≤ 8

c)

x ≥ -8

d)

x ≥ 8

124.

6x - 4 ≥ 26

a)

x ≥ 3.67

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

125.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

126.

Do you flip the sign?
-3x + 2 ≤ 22

a)

YES

b)

NO

127.

-7x + 15 ≥ -20

a)

x ≥ -5

b)

x ≤ -5

c)

x ≥ 5

d)

x ≤ 5

128.

-1(2x + 4) ≥ 6

a)

x ≤ -5

b)

x ≥ -5

c)

x ≤ -1

d)

x ≥ -1

Unit 6 Test Review

Total questions: 128

Worksheet time: 5hrs 54mins

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