Unit Review: Expressions and Equations

Simplifying Expressions

100

In order to combine like terms these two pieces must be the same:

What are exponents and variables

200

When combining like terms, the sign goes with the number it is:

What is in front of

300

This property allows you to remove parentheses by multiplying the outside number to everything inside.

What is the distributive property

400

Simplify this expression:

3x + 4 - 2x + 7

What is:

x + 11

500

Simplify this expression using the distributive property:

5(2y-3) - 4y + 8

What is 6y - 7?

One-Step Equations

100

To isolate the variable in x + 7 = 15, you would perform this operation:

What is subtract 7

200

The inverse operation used to solve equations like 4x=20

What is division?

300

This step is required first when solving

x/6 = -9

What is multiply both sides by 6

400

Solve the equation:

x - 9 = -3

What is: x = 6

500

Solve the equation:

-5x = 40

What is x = -8

Two-Step Equations

100

In two-step equations you should look to get rid of this first

What is the constant

200

In the equation 4 - 2x = -10, many students first add 4. Identify the correct first step

What is subtract 4 from both sides

300

Solve:

2x + 5 = 17

What is x = 6

400

Solve:

3x - 4 = -13

What is x = -3

500

Solve:

-7x + 9 = 30

What is: x = -3

Multi-Step Equations

100

This must be done before solving when an equation has parentheses, such as 2(x+3)=14

What is distribute

200

Solve:

2(x-1) = 10

What is x=6

300

Solve:

3x + 5 - x = 17

What is x=6

400

Solve:

4(x+2) - 3x = 13

What is x=5

500

Solve:

5(2x-1) - 3x = 23

What is x=4

Real-Life Application

100

Ava buys 3 bracelets and spends $6 on a necklace. If her total cost was $18, write an equation to represent the cost of one bracelet. 

What is 3x + 6 = 18

200

A group of friends attend the movies together. They paid $16 for tickets and $2 for each bag of popcorn. If the group of friends spent $24 total, write an equation for how many bags of popcorn they purchased.

What is 16 + 2x = 24

300

For a field trip, each student pays $15 plus a flat bus fee of $120. If the total collected is $315, write an equation that represents this equation. 

What is 15x + 120 = 315

400

A gym charges a $25 sign-up fee plus $18 per month. If Maya paid $115 total, write and solve an equation to determine how many months she was a member for?

What is 5 months?

500

4 soccer players each buy a soccer ball and 2 water bottles. The cost of a soccer ball is $21 and the group's total was $184. Determine the price of each water bottle. 

What is $12.50