Free Printable Unit 4A Review

1.

Which of the following describes the number 6 in the equation 6z=12

a)

Term

b)

Variable

c)

Coefficient

d)

Constant

2.

If x=7 and y=8, which expression will have a value of 50?

a)

x+xy

b)

x²+x-y

c)

x²+y-x

d)

y+y+x²-x

3.

Write an algebraic expression:
18 divided by a number

a)

18 ÷ n

b)

18 ÷ 7

c)

18 × 3

d)

18 × n

4.

The town of Charlotte received 8 more inches of rain than the town of Springfield. Let m represent the amount of rain in Springfield. Write an algebraic expression to represent the amount of rain in Charlotte.

a)

8 + s

b)

8 - m

c)

m + 8

d)

8 x m

5.

Write the expression using an exponent:
r x r x r

a)

r¹

b)

r²

c)

r³

d)

rⁿ

6.

Simplify:
(5 + 4)³

a)

70

b)

720

c)

729

d)

72

7.

Which is GREATER?
2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

8.

How many terms are in the expression?
3x²+2a-14

a)

2

b)

3

c)

4

d)

5

9.

4 x 5 ÷ 2 - 1

a)

8

b)

9

c)

15

d)

6

10.

16 ÷ 2 x 4 - 3

a)

5

b)

-1

c)

25

d)

29

11.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

12.

90 - 5² x 3

a)

15

b)

240

c)

195

13.

2 + (9²- 4)

a)

16

b)

77

c)

79

14.

Write an algebraic expression for "12 more than number".

a)

x + 12

b)

12x

c)

x - 12

15.

Write an algebraic expression for "8 less than a number".

a)

8x

b)

x - 8

c)

8 - x

16.

Evaluate 4y if y = 3

a)

7

b)

12

17.

Evaluate m² if m = 5

a)

10

b)

25

18.

Which phrase does NOT describe x + 6.

a)

The sum of x and six.

b)

six more than x.

c)

x increased by six.

d)

The product of x and two.

19.

Which of the expressions does NOT show the product of four and n.

a)

4n

b)

4 x n

c)

4(n)

d)

4 ÷ n

20.

5⁴means:

a)

5 x 5 x 5 x 5

b)

5 x 4

c)

4 x 4 x 4 x 4 x 4

21.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

22.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

23.

Distribute: 4(6v - 3)

a)

10v - 7

b)

24v - 12

c)

46v - 43

d)

12v

24.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

25.

Which expression is equivalent to 3a² + 6a + 5a²?

a)

14a²

b)

14a

c)

8a² + 6a

d)

3a² + 11a

26.

Which expression is equivalent to:
4s + 4s

a)

8s

b)

8

c)

s

d)

9s

27.

Distribute: 12(3t + 5)

a)

123t + 125

b)

15t + 17

c)

36t + 60

d)

30t + 65

28.

Factor this expression to create an equivalent expression: 100x - 70

a)

20(5x - 4)

b)

10(10x + 7)

c)

10(10x - 7)

d)

10(x - 70)

29.

Are the expressions 2x + 4 and 2(x + 2) equivalent expressions?

a)

Yes

b)

No

30.

Which of the following is an example of the distributive property?

a)

4(a + 7) = 4a + 47

b)

4 + 8 + 6 = 486

c)

6(3 + v) = 18 + 6v

d)

(5 + 4) + 8 = 5 + (4 + 8)

31.

Which expression is used to find the total area of the figure shown?

a)

9 (10 + 7)

b)

9 x 10 + 7

c)

(10 x 7) x 9

d)

9 x 10 x 7

32.

What are the two multiplication sentences for the area of this rectangle?

a)

(6 x 20) + (6 x 29)

b)

(6 x 20) + (6 x 9)

c)

(6 x 9) + (20 x 9)

d)

(2 x 20) + (3 x 9)

33.

Select all of the following expressions that are equivalent to 15X +30

a)

5(3X+6)

b)

3(5X+10)

c)

5x(3X+6X)

d)

15(x+2)

e)

3x(5+10X)

34.

Write an equivalent expression for the given expression using factorization.

49 - 28X = ____ ( 7 - _____)

a)

7 (7 - 4x)

b)

7 (x - 7)

c)

4 (7 - 49x)

d)

7x7 + 7x4

35.

7 cubed in expanded form

a)

7x7x7

b)

7x7

c)

7³

d)

7²

36.

6³in standard form

a)

6x6x6

b)

216

c)

3x3x3x3x3x3

d)

18

37.

four squared in exponential form

a)

4²

b)

4x4

c)

8

d)

16

38.

8 cubed in exponential form

a)

8³

b)

8x8x8

c)

8x8

d)

512

39.

2 cubed in standard form

a)

8

b)

2³

c)

3²

d)

2x2x2

40.

Simplify the following expression:

3 * n * 5 +8b

a)

15n +8b

b)

3n5n+8b

c)

3n+13b

d)

16nb

41.

Simplify the following expression:

2 * p * 4 + x + x

a)

8p +2x

b)

p +9x

c)

6p + 2x

d)

10px²

42.

Simplify the following expression:

2c + 5c + 5 * w * 10

a)

7c + 50w

b)

22wc

c)

10c + 15w

d)

c² + w⁵

43.

Frank bought a burger for $4.99 and two orders of french fries for m dollars each. Write an expression that would represent the total amount that he spent.

a)

$4.99 + 2m

b)

$4.99 + m²

c)

m + m + m + $4.99

d)

$4.99 + 2

44.

Mrs. Keller bought a scarf for $12.50 and 4 coffees that cost x dollars each. Write an expression that would represent the total amount that she spent.

a)

4x + $12.50

b)

$12.50 + 4

c)

x($12.50 + 4)

d)

4 ($12.50 + x)

45.

Casey has saved $50. He increased his savings by v dollars. She then withdrew half of her savings for a new purse. Write an expression that could be used to determine how much money Casey has left.

a)

$\left(\text{}50\ +\ v\right)\ \div2$

b)

$2\ \times\text{50 + v}$

c)

1/2 50 v

d)

$50\ \div2$

46.

Doug has saved $20. He increased his savings by p dollars. He then withdrew half of his savings for a new water bottle. Write an expression that could be used to determine how much money Doug has left.

a)

($20 + p) / 2

b)

2 * $20 + p

c)

1/2 p + $20

d)

2p + $20

47.

$25\ \div h$ Consider this expression. Select ALL the phrase that have the same meaning as the expression. Circle your answer choices.

a)

25 decreased by h

b)

25 divided by h

c)

the sum of 25 and h

d)

the quotient of 25 and h

e)

the product of 25 and h

Unit 4A Review

Total questions: 47

Worksheet time: 2hrs 32mins

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