Q3MT Review 2026

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

• Josh and Kyle

• Josh, Kyle, Kim

• Mark, Kyle, Kim

• All are equivalent

Determine if the pair of expressions below are equivalent.

Expression 1

• p + p + p + 4 + p + 3

Expression 2

p + 4 + 3p

• No

• Yes

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?

• Jim and Joey

• Joey and Tyler

• Jim and Tyler

• All

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?

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

• 16+2b

• 2(4b+8)

• 8 + b + 16

• 8(b+2)

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?

• (2 x 12) + (2 x 8)

• 2 + (12 x 8)

• (2 + 12) x (2 + 8)

• (2 + 12) x 8

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

2p + 2x

2 (p + x)

• Associative

• Identity

• Commutative

• Distributive

• 15 + 4x

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?

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

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

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

• 3c + 2 = 40

• 4c + 6 = 26

• 5c + 7 = 47

• 3c + 1 = 39