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Worksheets

Q3MT Review 2026

Total questions: 22

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

Simplify the equations below to determine which students’ equations are equivalent.

Josh’s equation: t = 4k + 3 - k - 1

Kyle’s equation: t = 3(k + 1) - 1

Kim’s equation: t = 3k + 2k + 5

Mark’s equation: t = 6k

a)

Josh and Kyle

b)

Josh, Kyle, Kim

c)

Mark, Kyle, Kim

d)

All are equivalent

2.

Determine if the pair of expressions below are equivalent.

Expression 1

  • p + p + p + 4 + p + 3

Expression 2

p + 4 + 3p

a)

No

b)

Yes

3.

The organizers of a youth baseball league want to give each player (p) a jersey and hat. The costs are shown below.

Jersey

Design: $30.00 (one time fee)

Jersey: $5.00 per player

HAT

Design: $20.00 (one time fee)

Hat: $2.00 per player

Jim, Joey, and Tyler write the following equations to solve for the total cost for the soccer league.

Jim: C = 30 + 5p + 20 + 2p

Joey: C = 57p

Tyler: C = 7p + 50

Which equations are correct and equivalent?

a)

Jim and Joey

b)

Joey and Tyler

c)

Jim and Tyler

d)

All

4.

Val works at a job that pays $7.00 per hour. If he works h hours and makes $224.00 dollars this week, how many hours did

Val work this week?

(a)  

5.

Select all options that are equivalent to: 8b+16

a)

16+2b

b)

2(4b+8)

c)

8 + b + 16

d)

8(b+2)

6.

A rectangular swimming pool at a community center is 12 feet long and 8 feet wide

If the expression 2 (12 + 8) can be used to find the perimeter of the pool, which expression for finding the perimeter is also

correct?

a)

(2 x 12) + (2 x 8)

b)

2 + (12 x 8)

c)

(2 + 12) x (2 + 8)

d)

(2 + 12) x 8

7.

Which property justifies the conclusion that the two expressions shown below are equivalent?

2p + 2x

2 (p + x)

a)

Associative

b)

Identity

c)

Commutative

d)

Distributive

8.

Which expression is equivalent to 15 +xxxx15\ +x\cdot x\cdot x\cdot x ?

a)


15+ x215+\ x^2

b)

15+x415+x^4

c)

15 + 4x

d)

15+4x415+4x^4

9.

On a math assignment, Dennis is asked to determine if the expressions 4(x + 2) and 4x + 2 are equivalent.

Determine the value of both expressions when x = 5

Based on the values that you determined above, did Dennis determine if the expressions were equivalent? Why or why

not?

a)

Yes; because they both equal the same amount when X=5

b)

No; because they do not equal the same amount when X=5

10.

Using substitution, in which of the following equations does c = 8

a)

3c + 2 = 40

b)

4c + 6 = 26

c)

5c + 7 = 47

d)

3c + 1 = 39


11.

What value of y makes this true?

10 < 15 - y

a)

5

b)

3

c)

10

d)

15

12.

What is the value of x, if 9x = 72?

(a)  

13.

Bobby wrote the inequality below to represent g, the cost of the groceries he needs to buy.

g > $100

Which statement is represented by this inequality?

a)

Bobby estimated that his groceries will cost $100

b)

Bobby estimated that his groceries will cost $100 or less.

c)

Bobby estimated that his groceries will cost more than $100.

d)


Bobby estimated that his groceries will cost less than $100.

14.

Which inequality does the image represent?

a)

x>5

b)

x<5

c)

x5x\ge5

d)

x5x\le5

15.

What does a closed circle mean on an inequality graph?

a)

the answer is not included in the solution set

b)

the answer is included in the solution set

16.

The inequality x>3x>3 has how many possible solutions?

a)

three

b)

one

c)

two

d)

more than two

17.

What solution set makes this inequality true?

x + 2 > 10

a)

9, 10, 11

b)

8, 10, 12

c)

2, 4, 6

d)

6, 7, 9

18.

What inequality would represent the temperature was colder than 6 degrees below zero?

a)

x< -6

b)

x> -6

c)

x6x\le-6

d)

x6x\ge-6

19.
Which is an example of Associative Property of Addition?
a)
(12+3)+8=12x(3x8)
b)
12x(3x8)=(12x3)x8
c)
(12+8)+3=12+(8+3)
d)
12 + 18 = 18 + 12
20.

What property is this an example of?


5 x 6 = 6 x 5

a)

Associative Property of Multiplication

b)

Distributive Property

c)

Commutative Property of Addition

d)

Commutative Property of Multiplication

21.

32+23+22=3^2+2^3+2^2=

(a)  

22.

True or False:

2223  >  32222^2\cdot2^3\ \ >\ \ 3^2\cdot2^2

(a)