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Expressions Unit Review

Total questions: 20

Worksheet time: 27mins

Name
Class
Date
1.

Which expression below does not represent 256?

a)

3 · 3 · 3 · 3

b)

4 · 4 · 4 · 4

c)

4^4

d)

4(64)

2.

Simplify: 12(5a + b)

a)

60a + 12b

b)

60a + b

c)

12a + 12b

d)

60 + 12b

3.

Determine the value of the expression below.

50 + (6 ÷ 2)² – 12

a)

2q

b)

44

c)

47

d)

94

4.

Which set of expressions below are not equivalent?

a)

7(9x + 4)

7 · 9x + 7 · 4

b)

9(4x + 7)

36x + 63

c)

4(7x + q)

11x + 13

d)

7(4x + 9)

7(4x) + 7(9)

5.

Natalie is creating a garden bed with the dimensions shown below. Find the area of the rectangular garden bed using the formula A = bh.

a)

54 ft²

b)

48 ft²

c)

17 ft²

d)

52 ft²

6.

Determine the value of the expression below.

a)

3

b)

5

c)

7

d)

9

7.

Write the following expanded form in exponent form.

4 · 4 · 8 · 8 · 4 · 8

a)

4³ · 8³

b)

4² · 8²

c)

4³ · 8²

d)

4² · 8³

8.

Evaluate the expression if p = 6 and q = 4.

5(6p + 3q)

a)

240

b)

180

c)

300

d)

360

9.

The monthly cost of a gym membership is $50 plus $8 for each class attended. Which of the following expressions could represent the monthly cost of a gym membership with c number of classes attended?

a)

8 + 50c

b)

8c + 50

c)

58c

d)

50c – 8

10.

Which two expressions are equivalent?

a)

2 · x · q

2(x + q)

b)

2 ÷ (q – x)

2 ÷ (x – q)

c)

2(q + x)

2 · q + q · x

d)

2 + q + x

2 + (q + x)

11.

Hailey cleaned out her backpack at the end of the school day. The number of pencils in her backpack was 3 less than 4 times the number of journals in her backpack, j.

Write an expression to represent the number of pencils in her backpack.

a)

4j – 3

b)

4j + 3

c)

3 - 4j

d)

4 - 3j

12.

List the terms in the expression shown below.

-2v + 4w + 5

a)

-2v, 4w, 5

b)

-2v, 4w

c)

4w, 5

d)

-2v, 5

13.

Simplify: 72–3(5–1)+87^2 – 3(5 – 1) + 8

a)

45

b)

50

c)

40

d)

55

14.

Mr. Burton writes the expression -3c + 5d + 12 on the board. Which of the following are the coefficients in the expression?

a)

-3

b)

5

c)

12

d)

none

15.

Which of the following has the same value as the given expression? 42 – 3(8 + 1)

a)

32+32\frac{3^2 + 3}{2}

b)

42+12−54^2+12-5

c)

23⋅3−92^3·3-9

d)

6(5−2)+36(5-2)+3

16.

The height of a triangle can be represented by the expression 2b – 7, where b is the base. Which of the following is the best description of the height of the triangle?

a)

The height is seven less than the base.

b)

The height is two more than the base minus seven.

c)

The height is seven less than one-half the base.

d)

The height is seven less than twice the base.

17.

What property is the equation showing?

5(7+4)=5 ⋅7+5⋅45(7+4)=5\ \cdot7+5\cdot4

a)

Distributive Property

b)

Commutative property of addition

c)

Commutative property of multiplication

d)

Associative property of addition

e)

Associative property of multiplication

18.

What property is the equation showing?

(11−3)⋅2=11⋅(3⋅2)(11-3)\cdot2=11\cdot(3\cdot2)

a)

Distributive Property

b)

Commutative property of multiplication

c)

Associative property of multiplication

d)

Additive inverse property

19.

What property is the equation showing?

8+7+13=7+8+138+7+13=7+8+13

a)

Additive inverse property

b)

Additive identity property

c)

Commutative property of addition

d)

Associative property of addition

20.

What property is the equation showing?

15+0=1515+0=15

a)

Additive inverse property

b)

Additive identity property

c)

Commutative property of addition

d)

Associative property of addition