Free Printable Order of Operations w/ Distributive Property

1.

2 + (9²- 4)

a)

16

b)

77

c)

79

2.

6 + (4)3

a)

18

b)

30

c)

13

d)

42

3.

(10 + 2) ×10-3

a)

145

b)

27

c)

117

d)

53

4.

90 - 5² × 3

a)

15

b)

240

c)

195

5.

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

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

6.

18 + (6 – 2) × 2

a)

26

b)

29

c)

44

d)

40

7.

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

8.

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

a)

20

b)

31

c)

36

d)

-4

9.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

10.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

11.

Evaluate 7y - 3y for y=2

a)

40

b)

73

c)

8

d)

4

12.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

13.

Evaluate -2x + -3y if x = 10 and y = -6

a)

18

b)

-38

c)

12

d)

-2

14.

If p = -6, what does -10(p + 4) equal?

a)

2

b)

20

c)

-2

d)

-20

15.

Evaluate the following expression:
t²- t + 1 when t = 5

a)

25

b)

22

c)

23

d)

21

16.

8 + 3(5 + 2) - 7 ∙ 2

a)

3

b)

15

c)

44

17.

27 ÷ 3 x 2 + 4²

a)

34

b)

20.5

c)

26

18.

What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8

a)

multiplication

b)

addition

c)

division

d)

subtraction

19.

What are the steps to solve the following expression?
50 − 16 ÷ 2

a)

add, multiply

b)

subtract, divide

c)

divide, subtract

d)

subtract, multiply

20.

What does cubed mean?

a)

Multiply the factor times itself two times.

b)

Multiply the factor times two.

c)

Multiply the factor times three.

d)

Multiply the factor times itself three times.

21.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

22.

Simplify:
[25-(13+4)+4] ÷ 3

a)

6

b)

2

c)

3

d)

4

23.

(82 ÷ 2) × 3 – 17

a)

206

b)

100

c)

106

d)

5

24.

In PEMDAS, what does the M stand for?

a)

Masterful

b)

Mad

c)

Math

d)

Multiplication

25.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

26.

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

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

27.

True or False?
2 + (4 x 5 - 2) + 8 = 28

a)

True

b)

False

28.

What does the E in PEMDAS stand for?

a)

Exceptional

b)

Egg

c)

Exponent

29.

What are the steps to solve the following expression?
50 − 16 ÷ 2 x (12 + 4)

a)

brackets
multiplication
subtraction
division

b)

brackets
multiplication
division
subtraction

c)

brackets
division
multiplication
subtraction

d)

brackets
subtraction
multiplication
division

30.

$\left(10\div\left(-5\right)-\left(-2\right)\right)\times\left(-3\right)^3$

(a)

31.

Which process should be completed first in the following problem?

$7\left(2+6\right)-18\div3^2$

a)

Multiplication

b)

Division

c)

Exponents

d)

Parentheses

32.

What should be the first step in the following problem?

$4\left(27\div3^2\right)$

a)

$4\left(27\div3^2\right)$

b)

$3^2$

c)

$27\div3$

d)

4(27)

33.

What should be the first step in the following problem?

$10\left(8\times15-7-4\times3\right)$

a)

$8\times15$

b)

$10\times8$

c)

15-7

d)

7-4

34.

Which process should be completed first in the following problem?

$9\times4-2\times8+24\div12$

a)

Multiplication

b)

Addition

c)

Division

d)

Subtraction

35.

Pick the correct sequence of steps for Order of Operations:

a)

Parentheses, Multiplication/Division, Addition/Subtraction, Brackets, Braces

b)

Multiplication/Division, Addition/Subtraction, Parentheses, Brackets, Braces

c)

Parentheses, Brackets, Braces, Multiplication/Division, Addition/Subtraction

d)

Parentheses, Braces, Brackets, Addition/Subtraction, Multiplication/Division

36.

Which operation is performed FIRST?
(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

37.

Which operation is performed SECOND?
(13 - 1) + 4

a)

addition +

b)

subtraction -

c)

multiplication X

38.

5², in this example, 5 is the ______ and 2 is the _______

a)

base, product

b)

exponent, base

c)

base, exponent

d)

product, base

39.

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-2⁵

b)

2^-5

c)

(-2)⁵

d)

(-2)^-5

40.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

41.

3(4+3r)

a)

12+9r

b)

7+6r

c)

12+5r

42.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

43.

Fill in the blank:
2(x + 7) = 2x + __

a)

7

b)

14

c)

7x

d)

14x

44.

Fill in the blank:
4(3x + __) = 12x + 16

a)

4

b)

16

c)

4x

d)

12

45.

e(f + g) is equivalent to:

a)

ef + g

b)

f + g

c)

f + eg

d)

ef + eg

46.

7a(3b - 2c + 4)

a)

10ab + 5ac + 11a

b)

10ab + 5ac + 28a

c)

21ab + 14ac + 28a

d)

21ab - 14ac + 28a

47.

-7(w - 4) + 3w - 27

a)

4w + 15

b)

-4w + 1

48.

6(x + 1) - 5(x + 2)

a)

2x + 8

b)

x - 4

49.

8(x + 5) - 4(x + 4)

a)

4x + 24

b)

4x + 16

50.

-4x + 7(-x + 9) = -58

a)

x = 9

b)

x = 10

c)

x = 11

d)

x = 12

51.

-3x + 3(-x + 11) = 63

a)

x = -4

b)

x = 6

c)

x = -5

d)

x = 4

52.

What does it mean to distribute?

a)

To multiply the numbers inside the parentheses by the number on the outside.

b)

To add all of the numbers together.

c)

To do the order of operations.

53.

$\frac{1}{2}(t+8)$

a)

$\frac{1t}{2t}+\frac{8}{2}$

b)

$\frac{1}{2}t+8$

c)

$\frac{1}{2}t+4$

d)

$\frac{1}{2}t+\frac{8}{16}$

54.

What is the simplified version of this expression? $4(-p-6)$

a)

$4p-24$

b)

$4p+24$

c)

$-4p+24$

d)

$-4p-24$

55.

Select the correct procedure for the distributive property. A ( B + C) =

a)

AB + C

b)

AB + A

c)

AB + AC

d)

ABC

56.

Distributive property equations are equations when you are (a) one term with another 2 or more terms inside parentheses.

57.

What is the value of x?

3 (-1 - 8x) = -3

a)

-1

b)

5

c)

1

d)

0

58.

A letter in an equation or expression is called a ___________.

a)

coefficient

b)

integer

c)

constant

d)

variable

59.

When you distribute you are clearing the parentheses?

a)

True

b)

False

60.

When you distribute you are simplifying the expression?

a)

True

b)

False

61.

When you distribute you solve all variables?

a)

True

b)

False

62.

When you distribute you ______________ what is outside of the parentheses by what is inside the parentheses?

a)

multiply

b)

divide

c)

add

d)

subtract

63.

$x\left(5\ +\ 1\right)$ A variable with no coefficient equals 1.

a)

True

b)

False

64.

$-6(-15x+3)+12$ Simply this expression using the distributive property of multiplication:

a)

$21x+9+18$

b)

$21x-9-18$

c)

$90x+6$

d)

$90x-6$

Order of Operations w/ Distributive Property

Total questions: 64

Worksheet time: 4hrs 56mins

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