Free Printable Topic 3: Expressions Unit Review

1.

Evaluate 3³.

a)

9

b)

6

c)

27

d)

12

2.

Evaluate $\left(\frac{2}{3}\right)^2$ .

a)

2/6

b)

4/6

c)

4/9

d)

2/9

3.

Evaluate 0.1³.

a)

0.1

b)

1

c)

0.01

d)

0.001

4.

What is the expanded form of 4⁹.

a)

9x4

b)

9x9x9x9

c)

4x4x4x4x4x4x4x4x4

d)

6561

5.

The numbers 4, 2, and 7 can all be identified as what in the following expression?

a)

Coefficients

b)

Variables

c)

Exponents

d)

Constants

6.

The number -5^3 or -125 can be identified as what in the following expression because it is a number by itself?

a)

Coefficient

b)

Variable

c)

Expression

d)

Constant

7.

The letters x and y can be identified as what in the following expression?

a)

Coefficients

b)

Variables

c)

Exponents

d)

Constants

8.

The number 5³ can also be written as 5x5x5, because I am multiplying 5 (the _______) times itself.

a)

Coefficient

b)

Variable

c)

Exponent

d)

Base

9.

The number 3 can ALSO be identified as what in the following expression?

a)

Constant

b)

Variable

c)

Exponent

d)

Base

10.

How many terms are in the following expression?

a)

1

b)

2

c)

3

d)

4

11.

Translate: "eighteen less than a number n", to an algebraic expression.

a)

18-n

b)

18n

c)

n/18

d)

n-18

12.

Translate: "the difference of c squared and fourteen", to an algebraic expression.

a)

2c + 14

b)

c + 2 + 14

c)

$c^2+14$

d)

$c^2-14$

13.

Translate: "two times the quantity of the sum of a number n and 11", to an algebraic expression.

a)

2(n+11)

b)

2(n-11)

c)

2n-11

d)

2n+11

14.

Evaluate: $3j^2-4$ .

(a)

15.

Evaluate: $\frac{jk+6}{m}$ .

(a)

16.

Evaluate: $3\left(j^3-m\right)-2k$ .

(a)

17.

If V=LWH, then what would be the volume of a rectangular prism with a length of 3.5, a width of 4, and a height of 5?

a)

70m³

b)

17.5m³

c)

80m³

d)

126m³

18.

Which of the expressions are equivalent? (choose 2)

a)

A-B+C

b)

(A+B)+C

c)

A+(B+C)

d)

A+(B-C)

19.

Which number property is shown:

5 + x + y = x + 5 + y

a)

Additive Inverse

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Additive Identity Property

20.

A number plus 0 (n+0) and a number times 1 (n x 1) are both showing what property of addition and multiplication?

a)

identity

b)

inverse

c)

associative

d)

communative

21.

(5+7)+8 = 5+(7+8)

(5x7)x8 = 5x(7x8)

are both showing the _______________ property of addition and multiplication.

a)

identity

b)

inverse

c)

associative

d)

communatitve

22.

What operation would you perform in the first step of the expression.

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Exponent

23.

$5^2-9\times2+3$ --> Evaluate using the order of operations.

(a)

24.

$\frac{4\left(5-2\right)^0+1}{5}$

Evaluate using the order of operations.

(a)

25.

3⁴- 5(2³+1) --> Evaluate using the order of operations.

(a)

26.

Rewrite the expression using the distributive property. 3(5x+1)

a)

8x+3

b)

15x+3

c)

15x+6

d)

18x

27.

Rewrite the expression using the distributive property. 8(3x - 5)

a)

24x-40

b)

11x-13

c)

8+13x

d)

24x-5

28.

What expression below represents the real-life situation: "It costs $40 to a join a gym, plus $25 per month."?

a)

40+25

b)

40m+25

c)

25m-40

d)

40+25m

29.

What expression below represents the real-life situation: "The temperature today was 5 degrees colder than half of yesterday's."?

a)

2y+5

b)

2y-5

c)

y/2-5

d)

5-2y

30.

What is the LCM of the factors 12 and 10?

(a)

31.

What is the GCF of the numbers 24 and 44?

(a)

32.

Simplify the following expression by combining like terms.

7.7w + 5 + 4.2w - 3

a)

3.5w + 2

b)

3.5w + 8

c)

11.9w + 2

d)

11.9w - 2

33.

Simplify the following expression by combining like terms.

$5x+3y+\frac{1}{2}-2x+\frac{1}{4}-3y$

a)

$7x+\frac{1}{6}$

b)

$3x+\frac{1}{6}+y$

c)

$3x+\frac{3}{4}$

d)

$3x+\frac{3}{4}+y$

34.

Simplify the expression by combining like terms.

$5x^2+4x-x-4x^2-3$

a)

$9x^2+3x-3$

b)

$9x^2+5x-3$

c)

$x^2+3x-3$

d)

$9x^2+5x+3$

35.

For Christmas, Mr. Elting is packing gift bags with a candy canes and ornaments. If Mr. Elting has 120 candy canes and 150 ornaments, what is the greatest number of bags he could pack and how many candy canes and ornaments would be in each?

a)

30 bags with 4 candy canes and 5 ornaments in each.

b)

25 bags with 5 candy canes and 6 ornaments in each.

c)

10 bags with 12 candy canes and 15 ornaments in each.

d)

30 bags with 5 candy canes and 4 ornaments in each.

Topic 3: Expressions Unit Review

Total questions: 35

Worksheet time: 3hrs 55mins

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