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Number System Review: Units 1 and 7

Total questions: 60

Worksheet time: 2hrs 34mins

Name
Class
Date
1.

What is the greatest common factor (GCF) of 27 and 18?

a)

27

b)

9

c)

54

d)

3

2.

Simplify the following expression.

62.244 - 62.19

a)

0.063

b)

0.054

c)

0.545

d)

0.54

3.

Topher has 1/3 of a whole pizza. How many 1/6's of a whole pizza are there in 1/3 of a whole pizza?

a)

18

b)

1/2

c)

2

d)

1/18

4.

1,836 ÷ 54 = ?

a)

33

b)

34

c)

44

d)

32

5.

Simplify the following expression.

0.2736 ÷ 0.171

a)

0.1026

b)

2.5

c)

1.6

d)

1.06

6.

What is the greatest common factor (GCF) of 8 and 36?

a)

6

b)

72

c)

8

d)

4

7.

Simplify the following expression.

2.43 - 0.66

a)

2.364

b)

1.77

c)

24.234

d)

23.64

8.

Find the quotient.

1,900 ÷ 76 = ?

a)

35

b)

24

c)

25

d)

23

9.

Find the quotient.

2/5 ÷ 6/14

a)

8/15

b)

15/14

c)

14/15

d)

6/35

10.

What is the greatest common factor (GCF) of 12 and 54?

a)

3

b)

108

c)

27

d)

6

11.

Andrea planted tomatoes and cucumbers on of an acre of 1/5 land. If each type of plant took up an equal area of Andrea's land, how many acres did each type of plant cover?

a)

1/7 of an acre

b)

1/10 of an acre

c)

1/8 of an acre

d)

1/12 of an acre

12.

Which of the following is equal to the expression listed below?

36 + 48

a)

(12 × 3)(12 × 4)

b)

(12 + 3)(12 + 4)

c)

12 + (3 × 4)

d)

12(3 + 4)

13.

What is the least common multiple (LCM) of 10 and 12?

a)

60

b)

120

c)

40

d)

2

14.

Simplify the following expression.

1.17 × 0.029

a)

28.53513

b)

0.022

c)

0.0234

d)

0.03393

15.

Which of the following is equal to the expression listed below?

56 + 32

a)

8 + (7 × 4)

b)

(8 × 7)(8 × 4)

c)

8(7 + 4)

d)

(8 + 7)(8 + 4)

16.

Simplify the following expression.

6.5 + 0.045

a)

6.5045

b)

65.45

c)

65.045

d)

6.545

17.

Write −12/25 as a decimal.

a)

-0.52

b)

-0.48

c)

-2.0

d)

-12.04

18.

Which of the following is a true statement?

a)

-5/6 > -4/9

b)

4.3 > 4 3/4

c)

13 5/8 = 13.625

d)

5/9 > 0.5777..

19.

Evaluate.

⎪–8⎥

a)

8

b)

-8

c)

0

d)

4

20.

Evaluate the following expression.

⎪−14⎥ +⎪5⎥

a)

19

b)

11

c)

-1

d)

-19

21.

What is the opposite of −17?

a)

-17

b)

17

c)

0

d)

- |17|

22.

Which set of integers is graphed on the number line?

a)
b)
c)
d)
23.

Which situation does the integer -6 best represent?

a)

6 yards behind the winner

b)

6 feet above the ground

c)

finding $6 in a pocket

d)

earning $6

24.

Which situation is not best described by a negative integer?

a)

a withdrawal of $45

b)

a fine of $15

c)

a loss of 12 yards

d)

a bonus of 10 points

25.

Which number is less than -3?

a)

0

b)

2

c)

-2

d)

-4

26.

Order −5, −7, 0, and 4 from least to greatest.

a)

0, 4, −5, −7

b)

−5, −7, 0, 4

c)

−7, −5, 0, 4

d)

−7, −5, 4, 0

27.

Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20?

a)

20

b)

-20

c)

40

d)

-40

28.

Geoffrey used 7 out of his 20 tokens on one game at the arcade. What is this fraction written as a decimal?

a)

0.353535...

b)

0.35

c)

0.4444...

d)

0.45

29.

Which number below best represents a deposit of $50 in a checking account?

a)

50

b)

70

c)

-50

d)

-70

30.

Which decimal below best represents a debt of one thousand dollars and nine cents?

a)

1,000.90

b)

1,000.09

c)

-1,000.09

d)

-1,000.90

31.

Which of the following best represents a bank account balance of $0?

a)

no money in the bank account

b)

money in the bank account

c)

owing money to the bank account

32.

Susie's account balance is less than -69 dollars. Which of the following best describes this situation?

a)

Susie has a credit greater than 69 dollars.

b)

Susie has a debt less than 69 dollars.

c)

Susie has a debt greater than 69 dollars.

d)

Susie has a credit less than 69 dollars.

33.

What is the absolute value of a number?

a)

the number's distance from zero on the number line

b)

half the number's distance from zero on the number line

c)

the number's distance from one on the number line

d)

twice the number's distance from one on the number line

34.

What is the opposite of 1/2?

a)

-2

b)

2

c)

1/2

d)

-1/2

35.

What is the opposite of the opposite of 4?

a)

5

b)

-4

c)

4

d)

-5

36.

What is the opposite of 0?

a)

0

b)

-1

c)

-0

d)

100

37.

Which letter represents the opposite of -10 on the number line below?

a)

W

b)

X

c)

Y

d)

Z

38.

What value does the dot represent on the number line?

a)
b)
c)
d)
39.

Which of the following best represents the point?

a)
b)
c)
d)
40.

What number does the dot represent on the number line below?

a)

711,252

b)

711, 253

c)

711,250

d)

711,251

41.

Which of the following is true about the expression given below?

a)
b)
c)
d)
42.

Which of the following is true given that 2.1 < 2.8?

a)

2.1 is at the same place as 2.8 on a horizontal number line

b)

2.1 is to the left of 2.8 on a horizontal number line

c)

2.1 is to the right of 2.8 on a horizontal number line

d)

2.1 is the opposite of 2.8 on a horizontal number line

43.

What are the coordinates of the point at A?

a)

(-7, 2)

b)

(2, -7)

c)

(7, 2)

d)

(-7, -2)

44.

What point located in quadrant II has an x-value that is 5 units from the origin and a y-value that is 4 units from the origin?

a)

H

b)

G

c)

U

d)

N

45.

Which letter is at position (2, -7)?

a)

V

b)

W

c)

Z

d)

O

46.

In which quadrant does the point (17, 6) lie?

a)

III

b)

I

c)

II

d)

IV

47.

In which quadrant does the point (4, -2) lie?

a)

I

b)

IV

c)

II

d)

III

48.

In which quadrant does the point (-7, -6) lie?

a)

I

b)

II

c)

III

d)

IV

49.

In which quadrant does the point (-6, 19) lie?

a)

II

b)

I

c)

IV

d)

III

50.

On a coordinate plane, how are the locations of the points (-4, -7) and (4, -7) related?

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

reflection across both axes

d)

locations unrelated

51.

On a coordinate plane, how are the locations of the points (-7, 3) and (-7, -3) related?

a)

reflection across both axes

b)

reflection across the x-axis

c)

reflection across the y-axis

d)

locations unrelated

52.

On a coordinate plane, how are the locations of the points (-8, -8) and (8, 8) related?

a)

reflection across the y-axis

b)

reflection across the x-axis

c)

locations unrelated

d)

reflection across both axes

53.

On a coordinate plane, how are the locations of the points (7, 9) and (-7, 9) related?

a)

locations unrelated

b)

reflection across both axes

c)

reflection across the y-axis

d)

reflection across the x-axis

54.

What is the distance between the points (-2, -14) and (-2, 18) in the coordinate plane?

a)

16 units

b)

32 units

c)

30 units

d)

4 units

55.

What is the distance between the points (9, 34) and (9, 19) in the coordinate plane?

a)

15 units

b)

7.5 units

c)

25 units

d)

53 units

56.

What is the distance between the points (15, -16) and (-9, -16) in the coordinate plane?

a)

12 units

b)

24 units

c)

31 units

d)

6 units

57.

Sam started his morning walk from the location indicated by the point.

He walked 5 units south and met his friend Joshua. After that, he walked 2 units east and there he bumped into his friend Ethan.

At what location on the coordinate grid did Sam meet Ethan?

a)

point (-1,-3)

b)

point (-3,5)

c)

point (-3,-5)

d)

point (-3,-1)

58.

Replace the blank with <, >, or = to make a true statement.

a)

<

b)

>

c)

=

d)

none of the above

59.

Replace the blank with <, >, or = to make a true statement.

a)

<

b)

>

c)

=

d)

+

60.

Replace the blank with <, >, or = to make a true statement.

a)

<

b)

>

c)

=

d)

x