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Unit 6 Review - Equivalent Expressions and One-Variable Eqations

Total questions: 40

Worksheet time: 2hrs 2mins

Name
Class
Date
1.
What is the prime factorization of 64? 
a)
62
b)
26
c)
28
d)
82
2.
What is the prime factorization of 110?
a)
52 ⋅ 11
b)
25 ⋅ 11
c)
5 ⋅ 22
d)
2 ⋅ 5 ⋅ 11
3.
What is the prime factorization of 75? 
a)
52 x 3
b)
5 x 5 x 3
c)
32 x 5
d)
15 x 5
4.
What is the prime factorization of 42? 
a)
21 ⋅ 2
b)
6 ⋅ 7
c)
2 ⋅ 3 ⋅ 7
d)
14 ⋅ 3
5.
What is the prime factorization of 150?
a)
23 × 3 × 5
b)
2× 52
c)
2 × 3 × 52
d)
3 × 53
6.
The expression 24 ⋅ 33 is equivalent to what number?
a)
432
b)
72
c)
144
d)
Not here
7.
Find the equivalent expression.

9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
8.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
9.
Selina's father drove 70 miles per hour for 7 hours and 65 miles per hour for 5 hours. Which expression shows how far he drove in all?
a)
70(7) + 65 + 5
b)
70 + 65 x 7 + 5
c)
70(7) + 65(5)
d)
707 + 655
10.
Larry had $84 in his checking account. During the month he made a deposit of $21 and  a withdraw of $3. Which expression could you use to find the balance in his checking account at the end of the month?
a)
84 + 21 - 3
b)
21 x 84 - 3
c)
84 + 21 + 3
d)
84 - 21 + 3
11.
A school is having a fundraiser in which the students sell calendars and raffle tickets. Each calendar costs $18. Each raffle ticket costs $7.If a student sold 7 calendars and 5 raffle tickets, simplify 7 x 18 + 5 x 7 to find how much money the student should collect.
a)
$1,127
b)
$139
c)
$161
d)
$126
12.

Simplify 75 - (23 + 45 ÷ 3) x 7.

a)

236

b)

-86

c)

-77

d)

86

13.
Which expression is equivalent to 3⋅4²⋅10
a)
(3 ⋅ 8) ⋅10
b)
(3 ⋅ 16) ⋅ 10
c)
(12)² ⋅ 10
d)
Not Here
14.
Which expression is equivalent to 8(5 - 2a)?
a)
13 + 6a
b)
40 - 16a
c)
13 - 6a
d)
40 + 16a
15.
Which expression is equivalent to 7(y + 2)?
a)
7y + 14
b)
7y + 2
c)
7 + y + 2
d)
7y + 9
16.
Which expression is equivalent to 2x + 2x + 7
a)
11
b)
4x
c)
4x + 7
d)
Not here
17.
Which of the following shows two equivalent expressions?
a)
2(4a + 5b) and 20a
b)
2(4a + 5a) and 18a
c)
(2 + 3) + 5 and 2 x (3 x 5) 
d)
Not here 
18.
Which expression is equivalent to 12 - 3?
a)
12 + (−3) 
b)
12 - 9
c)
3 - 12
d)
12 - −3
19.
Which of the following is equivalent to the expression below?
3x + 5(3x - 2) - 3x 
a)
15x - 10
b)
15x - 2 
c)
21x - 10 
d)
21x - 2 
20.

Which two expressions are equivalent?

a)

4 + (3 ⋅ y) and (4 + 3) ⋅ y

b)

(18 ÷ y) + 10 and 10 + (y ÷ 18)

c)

12 - (y ⋅ 2) and 12 - (2 ⋅ y)

d)

(10 - 6) ÷ y and 10 - (6 ÷ y)

21.

Which two expressions are equivalent?

a)

9(6 + x)

9⋅ 6 + 9 ⋅ x

b)

x + (8 ⋅ 9)

(x + 8) ⋅ 9

c)

8 ⋅ 6 ÷ x

8 ⋅ x ÷ 6

d)

6 ⋅ x + 3

6 ⋅ ( x + 3)

22.

At a school on Friday, 3 out of every 4 students were wearing jeans. There were 600 students at school on Friday. How many of the students were wearing jeans?

a)
b)
c)
d)
23.

Angie had a bag that contained 14 oranges. She put 3 of the oranges in her brother’s lunch box. She put 2 times as many oranges in the refrigerator as she put in her brother’s lunch box. She used the rest of the oranges to make orange juice. Based on the expression below, how many oranges did Angie use to make orange juice?

14 − (3 + 2 ⋅ 3)

a)

8

b)

5

c)

1

d)

9

24.
a)

5a+ 4

b)

5 +a+ 4

c)

a+ 20

d)

5a+ 20

25.

At the beginning of the week, Jack was given $55 for his allowance. He bought lunch for $5 per day for 5 days. His grandma also gave Jack $20 to divide equally between himself and his 3 sisters. The expression shown can be used to find the amount of money Jack had after that.

Based on this expression, what is the amount of money Jack had remaining?

a)

$35

b)

$67.50

c)

$5

d)

$25

26.

Mrs. Crandall wrote the expression below on her board and asked her students to write an equivalent expression.

4(3+y)

Which answer below is equivalent to the original expression?

a)
b)
c)
d)
27.

Which of the following is an equation?

a)

5 + 8 = 13

b)

2x + 3

c)

5 + 9

d)

3 + x

28.

Which of the following is an expression?

a)

2x = 4

b)

5 + 7

c)

5 + x = 13

d)

3 + 6 = 9

29.

Solve: (2 + 5) x 3 - 6

a)

3

b)

11

c)

15

d)

24

30.

Solve: 7 + 10 x 2

a)

34

b)

27

c)

19

d)

20

31.

Which expression is equivalent to

3 (x + 6)?

a)

3 + 3 + x + 6

b)

3x + 6

c)

3x + 18

d)

3 + x + 6

32.
Write an algebraic expression for "8 less than a number".          
a)
8x
b)
x - 8
c)
8 - x
33.
Write an algebraic expression for "12 more than number". 
a)
x + 12
b)
12x
c)
x - 12
34.

80.5% of the students in Mr. Keisler's class got an A on their first test. What decimal represents this amount?

a)

80.5

b)

8.05

c)

0.805

d)

8050

35.
Fraction to a Percent
3/8
a)
37.5%
b)
3.75%
c)
.375%
d)
38%
36.

During the baseball season, Dylan got a hit 40% of his times at bat. How is 40% written as a decimal?

a)

0.40

b)

0.04

c)

4.00

d)

0.004

37.
  1. A couch at a furniture store is discounted 40% off the original price. Which value is equivalent to 40%?
a)

1/25

b)

40

c)

0.004

d)

2/5

38.
a)

-3 + (-9)

b)

4(-3)

c)

-12 x 3

d)

-8 + (-4)

39.
a)

3(12)

b)

4(3)

c)

4(-3)

d)

3(-12)

40.

Which of the following situations matches the equation

4x = 124?

a)

I have 124 dollars ( ) and will give 4 dollars to my friend. How much money, x do I have now?

b)

The area of the rectangle is 124 square inches. If the width is 4 inches, what is the length (x)?

c)

The store received 4 crates of oranges. There are 124 oranges in each crate. How many oranges (x) did the store receive?

d)

School lunches cost 2 dollars each. Cameron eats (school ) lunch for 124 days during the school year. How much total x will Cameron pay for school lunch for the year?

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