Free Printable Order of Operations and Expressions

1.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

2.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

3.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

4.

18 + (6 – 2) × 2

a)

26

b)

29

c)

44

d)

40

5.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

6.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

7.

5 + 36 $\div$ 2 x 3 - 4

a)

7

b)

55

c)

12

8.

a)

A

b)

B

c)

C

d)

D

9.

What does the E in PEMDAS stand for?

a)

Equals

b)

Equivalent

c)

Exponent

d)

Even

10.

What is the first step in PEMDAS?

a)

Paragraph

b)

Parentheses

c)

Pages

d)

People

11.

Which answer choice is four raised to the second power?

a)

2⁴

b)

2²

c)

4¹

d)

4²

12.

Solve: 3⁴

a)

12

b)

9

c)

81

d)

28

13.

8²-7²

a)

5

b)

2

c)

15

d)

1

14.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

15.

$18\ \div\left(6+3\right)$

a)

4

b)

8

c)

12

d)

2

16.

$3^2+12\div\left(6-3\right)\times8$

a)

41

b)

51

c)

31

d)

32

17.

a)

30

b)

72

c)

24

d)

54

18.

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

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

19.

Simplify:
[25-(13+4)+4] ÷ 3

a)

6

b)

2

c)

3

d)

4

20.

$7^2-4+5$
After you figure out the value of $7^2$ , what should you do next?

a)

add

b)

subtract

21.

Write with an exponent:
$3\cdot3\cdot3\cdot3\cdot3$

a)

$3^5$

b)

$5^3$

22.

Write with an exponent:
$8\cdot8\cdot8$

a)

$8^3$

b)

$3^8$

23.

Identify the base:
$4^2$

a)

4

b)

2

24.

Identify the exponent:
$6^3$

a)

6

b)

3

25.

How do we pronounce this?
$6^4$

a)

6 to the 4th power

b)

4 to the 6th power

c)

4 times 6

d)

6 times 4

26.

How do we pronounce this?
$9^3$

a)

9 to the third power

b)

3 to the ninth power

c)

3 times 9

d)

9 times 3

27.

Find the value:
$4^2$

a)

16

b)

8

c)

2

28.

Find the value:
$2^4$

a)

8

b)

16

c)

2

29.

Find the value:
$3^3$

a)

9

b)

27

c)

81

30.

Find the value:
$6^2$

a)

12

b)

36

c)

3

31.

The M and D in PEMDAS stand for Multiplication and Division.

Which operation do you do first?

a)

Multiplication

b)

Division

c)

Whichever comes first in the expression as you read it from left to right

32.

The A and S in PEMDAS stand for Addition and Subtraction.

Which operation do you do first?

a)

Addition

b)

Subtraction

c)

Whichever comes first in the expression as you read it from left to right

33.

a)

30

b)

135

c)

28

d)

36

34.

a)

50

b)

510

c)

30

d)

25

35.

a)

84

b)

123

c)

58

d)

36

36.

a)

20

b)

19

c)

210

d)

8

37.

a)

54

b)

63

c)

70

d)

98

38.

a)

13

b)

62

c)

12

d)

22

39.

a)

12

b)

11

c)

15

d)

14

40.

a)

12

b)

36

c)

54

d)

20

41.

a)

32

b)

56

c)

42

d)

87

42.

Which operation would you do first?
10 - ( 9 + 3 ) ÷ 2

a)

Subtraction

b)

Addition

c)

Division

d)

Multiplication

43.

Solve the following using PEMDAS

(67 - 18) ÷ 7 x 3

(a)

44.

Solve the following using PEMDAS

5² - 8

(a)

45.

Solve the following using PEMDAS

(7 x 8 - 4) ÷ (6 - 2)

(a)

46.

Find the missing exponent.

a)

1

b)

3

c)

2

d)

4

47.

Find the missing base.

a)

9

b)

3

c)

2

d)

4

48.

Which numeric expression matches this written expression?
add four and nine and then multiply by six

a)

(6-4)x9

b)

(4+9)x6

c)

6x9+4

d)

9x4-6

49.

Which numeric expression matches this written expression?
two times the sum of eight and seven

a)

2 x 87

b)

2 + (8 + 7)

c)

2 x 8 + 7

d)

2 x (8 + 7)

50.

Multiply 2 and 12, and then subtract 8. Which numerical expression represents this statement?

a)

8 - 12 x 2

b)

(12 x 2) - 8

c)

2 x (12 - 8)

d)

12 x (2 - 8)

51.

Which numeric expression matches this written expression?
two times the sum of eight and seven

a)

2 x 87

b)

2 + (8 + 7)

c)

2 x 8 + 7

d)

2 x (8 + 7)

52.

Subtract 9 from 15 and divide by 3.
Which numerical expression represents this statement?

a)

(15 - 9) ÷ 3

b)

(9 - 15) ÷ 3

c)

3 ÷ (15 - 9)

d)

3 ÷ (9 - 15)

53.

Solve.
7 x [32 - (3 x 4)]

a)

884

b)

812

c)

212

d)

140

54.

Which numeric expression matches this written expression?
add four and nine and then multiply by six

a)

(6-4)x9

b)

(4+9)x6

c)

6x9+4

d)

9x4-6

55.

Which numeric expression matches this written expression?
fifteen less than the product of eight and four

a)

15 - 8 x 4

b)

15 - (8 x 4)

c)

(8 x 4) -15

d)

8 x (4 - 15)

Order of Operations and Expressions

Total questions: 55

Worksheet time: 9hrs 10mins

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