Free Printable Final exam review- Grade 7

1.

$\frac{-10}{0}=\$

a)

zero

b)

-10

c)

undefined

2.

$0\ -\ \left|-10\right|\ =\ 10$

a)

True

b)

False

3.

$0\div-10\ =\ 0$

a)

True

b)

False

4.

$\left|5-11\right|$

a)

16

b)

-16

c)

-6

d)

6

5.

0 + (-100)

a)

100

b)

-100

c)

0

d)

200

6.

$\sqrt[]{10^2\ -8^2}$

a)

36

b)

$\sqrt[]{164}$

c)

6

d)

41

7.

What is 5 - (-5)?

(a)

8.

What is |9 - 10| ?

(a)

9.

If the temperature is 12 degrees and it drops 20 degrees, how cold is it now?

(a)

10.

-20/-4=

(a)

11.

(-2)(4)(-1) =

(a)

12.

Check all the answers that are 7

a)

|3 - 4|

b)

|-3 - 4|

c)

|4 - 3|

d)

|-3| + |4|

e)

|3| + |-4|

13.

You had $20 and spent $4 on ice cream, then spent another $2 on a drink. You saw your friend who paid you back $10. How much money do you have now?

(a)

14.

Click all negative answers.

a)

$\left|-2\right|$

b)

$-\left|-2\right|$

c)

$\left|2\right|$

d)

$-\left|2\right|$

15.

What is the distane between points -4 and 5?

(a)

16.

The temperature was -6 degrees but it rose 10 degrees, how cold is it now?

(a)

17.

What is the distance between 5 and 0?

a)

6

b)

4

c)

5

d)

-5

18.

Select the problem with an answer that is positive.

a)

-3(-2)

b)

12/-2

c)

-6 - (-2)

d)

5 - 7

19.

-4 + 4 =

(a)

20.

4 + 3(-2) =

(a)

21.

|-5 + 2(3 - 6)|

(a)

22.

a)

True

b)

False because 1 $\ne$ 5

c)

False because -1 $\ne$ 5

d)

False because 1 $\ne$ -1

23.

√100

a)

15

b)

10

c)

11

d)

12

24.

Simplify: 3 x 3 x 3 x 3 x 3

a)

3⁴

b)

3³

c)

3⁵

d)

4³

25.

Which expression is equivalent to (-4)(-4)(-4)(-4)

a)

-4¹

b)

(-4)⁴

c)

4^-2

d)

(-4)²

26.

Solve for x if x² = 144.

a)

12

b)

11

c)

4

d)

14

27.

What is 7³in expanded form?

a)

343

b)

7 x 7 x 7

c)

2041

d)

7³

28.

2⁵ is the same as 2 x 5.

a)

True

b)

False

29.

Choose the answer.
5²

a)

10

b)

15

c)

20

d)

25

30.

Which is GREATER?
2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

31.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

32.

√ 64

a)

4

b)

6

c)

9

d)

8

33.

1²

a)

1

b)

0

c)

10

d)

2

34.

24 x (4-2) ÷ 6

a)

8

b)

2

c)

6

d)

5

35.

7 x (7-4) ÷ 3

a)

8

b)

6

c)

7

d)

5

36.

23 + (30÷10) x 4

a)

35

b)

104

c)

12

d)

45

37.

90 - 5² x 3

a)

15

b)

240

c)

195

38.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

39.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

40.

Write $\frac{2}{5}$ as a decimal.

a)

2.5

b)

0.4

c)

0.25

d)

4

41.

Write $\frac{20}{7}$ as a mixed number.

a)

$3.7$

b)

$2\ \frac{6}{7}$

c)

$2\ \frac{14}{7}$

d)

$2\ \frac{4}{7}$

42.

$2\ \frac{3}{5}+\left(-\frac{1}{5}\right)$

a)

$2\ \frac{2}{5}$

b)

$\frac{9}{10}$

c)

$1\ \frac{4}{35}$

d)

$4$

43.

$-\frac{8}{5}-\frac{1}{3}$

a)

$-1\ \frac{14}{15}$

b)

$1\ \frac{67}{105}$

c)

$-3\ \frac{4}{15}$

d)

$-1\ \frac{97}{120}$

44.

$\frac{5}{6}\div\frac{3}{10}$

a)

$2\ \frac{7}{9}$

b)

$-\frac{1}{2}$

c)

$\frac{1}{4}$

d)

$5\ \frac{1}{8}$

45.

$8\ \frac{7}{10}-5\ \frac{9}{10}$

a)

$3\ \frac{1}{5}$

b)

$2\ \frac{4}{5}$

c)

$3\ \frac{4}{5}$

d)

$3\ \frac{8}{10}$

46.

Find the product. Then, simplify.

a)

10/18

b)

5/9

c)

10/6

d)

15/12

47.

Which operations with fractions REQUIRE common denominators.

a)

Addition

b)

Subtraction

c)

Multiplication

48.

$\frac{4}{7}\ \div\ 8\ =$

a)

$\frac{1}{14}$

b)

$\frac{32}{7}$

c)

$7$

d)

$32$

49.

What is the reciprocal of $\frac{3}{8}$ ?

a)

$\frac{5}{3}$

b)

$1\frac{3}{8}$

c)

$\frac{8}{3}$

d)

$\frac{11}{8}$

50.

$Convert\ to\ an\ improper\ fraction\ \ 4\frac{3}{5}$

(a)

51.

Convert to a mixed number: $\frac{29}{5}$

(a)

52.

Write your answer as a mixed number...

Simplify your answer as much as possible....

a)

2 ⁴/₉

b)

2 ⁵/₉

c)

2 7/₁₈

d)

2 ¹⁰/₁₈

53.

Write your answer as a mixed number...

Simplify your answer as much as possible....

a)

2 ¹¹/₁₂

b)

2 ¹⁰/₁₂

c)

2 ⁹/₁₂

d)

2 ⁸/₁₂

54.

Calculate 25% of 80

a)

20

b)

80

c)

48

d)

95

55.

What is 15% of 82?

a)

12.3

b)

123

c)

1.23

56.

What is 20% of 65?

a)

13

b)

15

c)

16

d)

13.75

57.

What is 1/2 of 50?

a)

5

b)

50

c)

25

d)

20

58.

What is 3/4 of 80?

a)

34

b)

50

c)

60

d)

75

59.

When adding integers with the same sign you ________________.

a)

Subtract and keep the sign of the larger number.

b)

Add and keep the sign.

60.

A positive PLUS a positive will give you what on your final answer.

a)

Positive

b)

Negative

61.

A negative PLUS a negative will give you what on your final answer.

a)

Positive

b)

Negative

62.

When subtracting integers you must________________________.

a)

Subtract like normal.

b)

Keep the first sign, keep it a subtracting problem, and find the reciprocal of the second integer.

c)

Keep the first sign, keep it a subtracting problem, and find the opposite of the second integer.

d)

Keep the first sign, change it to addition, find the opposite of the second integer, use your adding rules.

63.

True or False: When MULTIPLYING AND DIVIDING integers, they follow the same rules.

a)

True

b)

False

64.

A positive MULTIPLIED/DIVIDED by a positive will give you what answer?

a)

Positive

b)

Negative

65.

A negative MULTIPLIED/DIVIDED by a negative will give you what answer?

a)

Positive

b)

Negative

66.

A positive MULTIPLIED/DIVIDED by a negative will give you what answer?

a)

Positive

b)

Negative

67.

MULTIPLYING/DIVIDING signs with the same sign will give you what sign in your answer?

a)

Positive

b)

Negative

68.

MULTIPLYING/DIVIDING signs with different signs will give you what sign in your answer?

a)

Positive

b)

Negative

69.

The point (-2, -3) is in which quadrant?

a)

1

b)

2

c)

3

d)

4

70.

The point (8, 15) is in which quadrant?

a)

1

b)

2

c)

3

d)

4

71.

The point (-3, 6) is located in which quadrant?

a)

1

b)

2

c)

3

d)

4

72.

Which quadrant is located in the lower right corner of the graph?

a)

1

b)

2

c)

3

d)

4

73.

The point (0, 5) is located where on a graph?

a)

Quadrant 1

b)

On the y-axis

c)

On the x -axis

d)

Quadrant 3

74.

The point (8, -6) is located in which quadrant?

a)

1

b)

2

c)

3

d)

4

75.

The point (-15, 0) is located where on a graph?

a)

Quadrant 3

b)

Quadrant 4

c)

On the x-axis

d)

On the y-axis

76.

The x axis stretches

a)

up and down

b)

left to right

77.

-8(0)=

a)

-8

b)

8

c)

0

d)

-80

78.

The y axis stretches

a)

up and down

b)

left to right

79.

Timmy Tommy says that the point shown is (3,4). What is his error?

a)

This is a trick question. He's correct!

b)

He should have written the x coordinate first, then the y coordinate.

c)

He miscounted the y coordinate.

d)

He miscounted the x coordinate.

80.

8+-7-(-6)+1

a)

-7

b)

16

c)

8

d)

-4

81.

3 - 2a + 3a + 5a

a)

5a+3

b)

5a-3

c)

6a + 3

d)

8a+3

82.

Simplify the expression:
$6-2\left(7x-3\right)$

a)

-14x

b)

-14x + 12

c)

14x

d)

5x +1

83.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

84.

Combine Like Terms $4x\ -\ 5\ +6y+\left(-7x\right)-3x+10$

a)

$14x\ +6y\ +5$

b)

$-6x+6y+15$

c)

$-6x+6y+5$

d)

$-14x\ +\ 6y\ +\ 5$

85.

$6-k+4k+1-3k$

Simplify the expression:

(a)

86.

-2(4x - 10)

a)

12x

b)

2x -12

c)

-8x - 20

d)

-8x + 20

87.

5 times a number, minus 8

a)

5m - 8

b)

5(m + 8)

c)

8m + 5

d)

8(m + 5)

88.

twice a number

a)

2 + n

b)

2n

c)

2/n

d)

2 - n

89.

7 less than the product of a number and 6

a)

7 - 6n

b)

7 + 6 + n

c)

6n - 7

d)

n/ 6 + 7

90.

The hockey team won 63 out of the 84 games it played this year. What percent of the games did the team win?

a)

25%

b)

33%

c)

75%

d)

133%

91.

What word phrase can you use to represent "5x + 2"?

a)

5 times a number plus 2

b)

2 more than the product of 5 and a number

c)

a number times the sum of 5 and 2

d)

the sum of 5 times a number and 2

92.

Write a word phrase to represent the following algebraic expression:

$\frac{z}{8}-9$

a)

the quotient of 8 and a number minus 9

b)

the product of 8 and a number minus 9

c)

the quotient of a number and 8 minus 9

d)

9 less than the quotient of a number and 8

93.

Translate this phrase into an algebraic expression.

the difference of 33 and number

Use the variable c to represent the unknown number.

a)

c-33

b)

33-c

c)

33c

d)

33/c

94.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

95.

Solve:

-40\ +\ r\ >-23

a)

$r\ >\ -17$

b)

$r\ >17$

96.

Solve:

\frac{x}{11}\ge-5

a)

$x\le55$

b)

$x\le-55$

c)

$x\ge55$

d)

$x\ \ge-55$

97.

Solve:

-12w<96

a)

$w<-1152$

b)

w > -8

c)

w < -8

d)

w > -9

98.

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

a)

3:5

b)

1:3

c)

3:11

d)

3:10

99.

Solve

8p\ge-64

a)

$p\ge-8$

b)

$p\le-8$

c)

$p>8$

d)

$p\ge8$

100.

Solve. 3c + 5 = 23

(a)

101.

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.

102.

22 < 6c + 4

a)

11>c

b)

3>c

c)

11<c

d)

3<c

103.

The ice cream shop sold 8 vanilla cones, 15 strawberry cones, and 25 chocolate cones in one evening. What percent of the cones sold were strawberry?

a)

15%

b)

16.7%

c)

52.08%

d)

31.25%

104.

-3 ( f - 8 ) = 39

(a)

105.

36 carpenters are in a crew. Today, 29 were present. What percent of the crew worked today?

a)

80%

b)

82%

c)

65%

d)

81%

106.

$\frac{10}{x}\ =\ \frac{25}{100}$

a)

x = 40

b)

x = 2500

c)

x = 250

d)

x = 2.5

107.

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

108.

If it costs $15.00 for 6 gallons of gasoline, how much will it cost for 8 gallons?

Hint: set up a proportion to solve!

(a)

109.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

110.

In a class of 28 total students, sixteen of those students are males. What percent are female?

a)

57%

b)

45%

c)

43%

d)

32%

111.

Jacob and his buddies paid $35.01 at a football game to buy 9 cheeseburger meals. how much did each cheeseburger meal cost?

a)

$2.85

b)

$2.89

c)

$3.84

d)

$3.89

112.

A baseball pitcher won 80% of his games. If he pitched 35 games, how many games did he win?

a)

28

b)

52

c)

38

d)

24

113.

Eight friends went out to dinner. The total bill was $102. If everyone split the bill evenly, how much did each person pay?

a)

$12.75

b)

$17.00

c)

$12.60

d)

$17.25

114.

It rained 0.72 inches on Monday. On Tuesday, it rained 0.34 inches less than on Monday. How much did it rain on Tuesday?

a)

.38

b)

.37

c)

.39

d)

1.08

115.

-12 + 9

a)

21

b)

3

c)

-3

d)

-21

116.

-7 - (-2) = ?

a)

9

b)

-9

c)

-5

d)

5

117.

19 - (-19)

a)

0

b)

36

c)

26

d)

38

118.

18 + (-4)

a)

-14

b)

22

c)

14

d)

-22

119.

Riley has started a babysitting business. She charges $3.85 per hour. If she works 8 hours a week, how many dollars does she earn for the week?

a)

$30.80

b)

$3.08

c)

$308.80

d)

$40.80

120.

-12 + 9

a)

21

b)

3

c)

-3

d)

-21

121.

Identify each true statement. (Hint: there are 3)

a)

(-27) / (-3) = 9

b)

10 - (-4) = -14

c)

(-9) - 5 = -4

d)

4 * (-7) = -28

e)

(-12) + 13 = 1

122.

$-20\div5=$

a)

—4

b)

4

c)

—100

d)

100

123.

$44\div\left(-4\right)=$

a)

11

b)

—176

c)

—11

d)

176

124.

$-30\div\left(-10\right)=$

a)

—300

b)

—3

c)

3

d)

300

125.

$5+\left(-7\right)$

a)

12

b)

—12

c)

—2

d)

2

126.

$2\ +\left(-4\right)$

a)

—2

b)

2

c)

6

d)

—6

127.

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

a)

2

b)

—2

c)

10

d)

—10

128.

$-7+\left(-3\right)$

a)

4

b)

—4

c)

10

d)

—10

129.

$-5-3$

a)

8

b)

—8

c)

2

d)

—2

130.

$4-\left(-2\right)$

a)

6

b)

—6

c)

2

d)

—2

131.

$4\cdot\left(-8\right)$

a)

32

b)

—32

c)

2

d)

—2

132.

$-5\ \cdot\left(-1\right)$

a)

$5$

b)

$-5$

c)

$\frac{1}{5}$

d)

$-\frac{1}{5}$

133.

$-9\cdot3$

a)

27

b)

—27

c)

3

d)

—3

134.

$\frac{-18}{3}$

a)

$6$

b)

$-6$

c)

$\frac{1}{6}$

d)

$-\frac{1}{6}$

135.

$\frac{63}{-7}$

a)

$9$

b)

$-9$

c)

$\frac{1}{9}$

d)

$-\frac{1}{9}$

136.

-4 + 8

a)

-4

b)

4

c)

12

d)

-12

137.

3 - 12

a)

-9

b)

9

c)

-15

d)

15

138.

-5 $\times$ -5

a)

25

b)

-25

c)

10

d)

-10

139.

4 + 6

a)

2

b)

10

c)

-2

140.

-50 + -50

a)

100

b)

-199

c)

0

d)

-100

141.

$\left(-15\right)^2$

a)

-225

b)

225

142.

$\left|15-6\right|$ = 9

a)

True

b)

False

143.

0 _______ -2

a)

<

b)

>

c)

=

144.

-6 _______ -3

a)

<

b)

>

c)

=

145.

|17| _______ |-18|

a)

<

b)

>

c)

=

146.

Select the symbol to compare these fractions
2/5______4/5

a)

<

b)

>

c)

=

d)

?

147.

a)

<

b)

>

c)

=

148.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

149.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

150.

What is the value of x + 7p if x = -1 and p = 8?

a)

55

b)

56

c)

54

d)

53

Final exam review- Grade 7

Total questions: 150

Worksheet time: 5hrs 12mins

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