Free Printable 7th grade ADV practice math final exam

1.

Opposite of 142

a)

-142

b)

142

c)

+142

2.

Which integer represents a withdrawal from your bank account of $50

a)

-$50

b)

$50

c)

+$50

3.

Which is NOT negative?

a)

Withdrawal

b)

Loss

c)

Fine

d)

Bonus

4.

Which integer represents a gain of 10 yards on a football play?

a)

+10

b)

-10

5.

12 and -12 are example of ....

a)

opposites

b)

even numbers

c)

negative numbers

d)

absolute values

6.

Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York

a)

0

b)

30

c)

-30

d)

-19

7.

What is the opposite of zero?

a)

1

b)

-1

c)

0

d)

it doesn't have one

8.

Darrel is currently 20 feet below sea level. Which correctly describes the opposite of Darrel's elevation?

a)

20 feet below sea level

b)

20 feet above sea level

c)

2 feet below sea level

d)

At sea level

9.

What is an integer?

a)

A whole number

b)

A fraction

c)

A negative number only

d)

Negative and positive whole number and 0

10.

Negatives numbers are right or left of zero?

a)

right

b)

left

11.

A decrease of 5 inches.

a)

positive

b)

negative

12.

Seventy feet above sea level

a)

positive

b)

negative

13.

30 ft. above sea level

a)

positive

b)

negative

14.

A pay cut of 120 dollars

a)

positive

b)

negative

15.

Comparing integers -1 ____ -11

a)

<

b)

>

c)

+

16.

Comparing integers -1 ____ -11

a)

<

b)

>

c)

+

17.

Compare integers using <, >, = -5 ___ -4

a)

<

b)

>

c)

=

18.

Comparing integers -10 ____ 10

a)

<

b)

>

c)

=

19.

What is the opposite of 10?

a)

10

b)

-10

c)

0

d)

20

20.

There are more positive integers than there are negative integers.

a)

True; there are more positives.

b)

False; there are more negatives.

c)

True; chocolate milk comes from chocolate cows.

d)

False; there is an equal amount of positive and negative integers.

21.

(19 - 7) ÷ 4 + 11

a)

14

b)

0.8

c)

15

d)

13

22.

8 + 2 ⋅ 7

a)

22

b)

70

c)

20

d)

42

23.

What step would I do second ?

(4-2) x 9 + 7

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

24.

5 x (7-2) + (8+1)

a)

70

b)

77

c)

42

d)

34

25.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

26.

8 ÷ 8 + 6 × 2

a)

8

b)

13

c)

14

d)

23

27.

Which operation is evaluated first?
7 - 8 + 23

a)

subtraction

b)

addition

28.

Which operation is evaluated first?
72 ÷ 9 x 4

a)

multiplication

b)

division

29.

Evaluate:
81 - 6 + 24

a)

100

b)

50

c)

99

d)

51

30.

Solve This Expression -
( 7 x 3 ) + 9

a)

29

b)

30

c)

31

d)

32

31.

True or False?
2 x 3 + 10 ÷ 2 = 8

a)

True

b)

False

32.

What are the steps to solve the following expression?

50 − 16 ÷ 2 x (12 + 4)

a)

parenthesis

multiplication

subtraction

division

b)

parenthesis

multiplication

division

subtraction

c)

parenthesis

division

multiplication

subtraction

d)

parenthesis

subtraction

multiplication

division

33.

6 + (4)3

a)

18

b)

30

c)

13

d)

42

34.

4(8) ÷ (8 − 6)

a)

-2

b)

18

c)

-1

d)

16

35.

15 x 19 + 18 ÷ 6 =

a)

250

b)

199

c)

400

d)

288

36.

(9 + 39) ÷ (11 - 5) =

a)

17

b)

14

c)

9

d)

8

37.

20 x 20 - (10 x 15)

a)

250

b)

375

c)

450

d)

4,505

38.

(9 + 23) ÷ (5 - 3) =

a)

16

b)

32

c)

15

d)

12

39.

(7 x 5) + (6 x 4)

a)

48

b)

69

c)

59

d)

72

40.

Which expression does NOT equal 3?

a)

(3 x 5 + 6) ÷ 7

b)

(9 x 3) - 25

c)

(25 + 2 x 4) ÷ 11

d)

4 x 3 ÷ 4 x 1

41.

Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

a)

7⁷

b)

7⁸

c)

8⁷

d)

7⁹

42.

Find the value (standard form) of the power.
9²

a)

18

b)

9

c)

72

d)

81

43.

Find the value (standard form) of the power.
12²

a)

24

b)

120

c)

14

d)

144

44.

Write each product using an exponent.
4 x 4 x 4 x 4 x 4

a)

4⁵

b)

5⁴

c)

4⁶

d)

4⁶

45.

What special word do you use for the exponent 2?

a)

cubed

b)

squared

c)

boxed

d)

triangled

46.

How do you correctly say 4^3?

a)

three squared

b)

4 squared

c)

4 cubed

d)

4 to the power of 2

47.

Which number is the exponent?
2³ = 8

a)

2

b)

3

c)

8

48.

How would 8⁶ be represented?

a)

8 x 6

b)

8 x 8 x 8 x 8 x 8 x 8

c)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

d)

6 x 8

49.

Which number is the exponent?
2³ = 8

a)

2

b)

3

c)

8

50.

What special word do you use for the exponent 2?

a)

cubed

b)

squared

c)

boxed

d)

triangled

51.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

52.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

53.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

54.

Which is GREATER?
2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

55.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

56.

What is the 7¹?

a)

1

b)

7

c)

0

d)

14

57.

What is nine cubed in exponential form?

a)

9 x 9 x 9

b)

9³

58.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

59.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

60.

What is the exponent form for
6?

a)

6⁰

b)

6¹

61.

What is 1/2 squared?

a)

1/4

b)

1/2

c)

1

d)

4

62.

What is 1/4 squared?

a)

1/16

b)

1/4

c)

1/8

d)

1/2

63.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

64.

Evaluate.
2⁵

a)

10

b)

25

c)

32

d)

Answer Not Given

65.

Evaluate.
8²

a)

16

b)

64

c)

-64

d)

Answer Not Given

66.

What is the BASE in the exponent below?
4³

a)

4

b)

3

c)

4³

d)

64

67.

Solve.
(¹/₂)³

a)

¹/₈

b)

³/₆

c)

³/₈

d)

Answer Not Given

68.

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

a)

4

b)

2

c)

16

69.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

70.

Simplify the following expression:

(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

71.

Simplify the following expression:

(b³)⁸

a)

b¹¹

b)

8b³

c)

b²⁴

d)

24b

72.

Simplify the following expression:

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

73.

Simplify the following expression:

(3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

3x⁸y¹⁰

d)

x⁸y¹⁰

74.

Simplify the following expression:

(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

75.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

76.

Simplify the following expression:

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

77.

Simplify the following expression:

(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

78.

Simplify the following expression:

(7a²)(5a⁶b)²

a)

35a¹⁴b²

b)

175a¹²b²

c)

175a¹⁴b²

d)

35a¹⁴b

79.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

80.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

81.

What is the degree of this polynomial?

2x⁴- 3x⁵+ x

a)

-3

b)

2

c)

4

d)

5

82.

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

83.

What is the coefficient of this term?

9x³

a)

None

b)

9

c)

3

d)

x

84.

Classify by number of terms:

5x² – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

85.

Simplify the Expression:

3x + 6 - 2x +7

a)

14

b)

14x

c)

x + 13

d)

x - 13

86.

What is the the DEGREE:

4x³ - 5x² + 2x - 1

a)

1

b)

2

c)

3

d)

4

87.

Classify:
2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

88.

What are like terms?
Terms that have....

a)

the same variables

b)

the same exponents

c)

the same coefficients

d)

the same variables and exponents

89.

The number in front of the variable is called the....

a)

exponent

b)

base

c)

coefficient

d)

fronter

90.

Which pair is an example of like terms?

a)

2a and 2b

b)

x and x²

c)

3k and 3k³

d)

y² and 2y²

91.

Simplify this polynomial:

n - 10 + 9n - 3

a)

-3

b)

9n - 3

c)

n

d)

10n - 13

92.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

93.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

94.

Simplify this polynomial:

3x²- x + 2 - 5x²+ 8x - 5

a)

8x²+ 9x + 7

b)

-2x²+ 7x - 3

c)

2x²+ 7x - 3

d)

5x²- 3

95.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

96.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

97.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

98.

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

99.

What is the inverse operation of subtraction?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

100.

What would be the best first step to solving the equation?
-6x=-24

a)

multiply both sides by -6

b)

divide both sides by -6

c)

add 6 to both sides

d)

subtract -6 from both sides

101.

What would be the best first step to solving the equation in one step?

a)

multiply both sides by 3

b)

multiply both sides by -3

c)

divide both sides by -3

d)

add 3 to each side

102.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

103.

What is the first inverse operation needed to solve for y?

2y - 254= 900

(think: what is step one?)

a)

subtraction

b)

addition

c)

multiplication

d)

division

104.

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.

105.

Level 3

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

106.

When solving a two-step equation which operations do you undo first?

a)

addition and subtraction

b)

addition and multiplication

c)

multiplication and division

d)

subtraction and division

107.

Solve:

$3c+5=23$

a)

$c=3$

b)

$c=6$

c)

$c=7$

d)

$c=18$

108.

Solve:

$4x+7=23$

a)

$x=16$

b)

$x=4$

c)

$x=9$

d)

$x=12$

109.

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.

110.

Solve:

6n+4=-26

a)

$n=-6$

b)

$n=-5$

c)

$n=8$

d)

$n=-4$

111.

Solve:

4y+-9=-45

a)

$y=-4$

b)

$y=4$

c)

$y=13.5$

d)

$y=-9$

112.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

113.

Solve:

-6w+1=-11

a)

$w=2$

b)

$w=1.2$

c)

$w=12$

d)

$w=-2$

114.

Solve:

$7+\frac{a}{3}=5$

a)

$a=-2$

b)

$a=-6$

c)

$a=3$

d)

$a=15$

115.

Solve:

$33=4a-7$

a)

$a=-10$

b)

$a=10$

c)

$a=4.5$

d)

$a=-7$

116.

Solve:

$20=2-a$

a)

$a=18$

b)

$a=-18$

c)

$a=-10$

d)

$a=12$

7th grade ADV practice math final exam

Total questions: 116

Worksheet time: 4hrs 0mins

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