Equations and Inequalities Review

Simplify Expressions

1

Simplify

3(4x + 2) 

12x + 6

2

Simplify

3x + 2(5x - 7)

13x - 14

3

Simplify

7x -2(3x + 1) -9

x - 11

4

Simplify

6(-5x + 1) -3(4x - 12)

-42x + 42

5

Simplify

3(x + 2) + 2(4x - 6) + 2x

13x - 6

Solving Equations

1

Solve for x. 

x + 3 = 7

x = 4

2

Solve for x.

2x + 4 = 12

x = 4

3

Solve for x. 

−15 + x = −9

 x = 6

4

Solve for m. 

2m − 9 = −5

m = 2

5

Modeling Equations

Create an equation that represents the following expression and then solve it.

Harvey's age doubled is 6

2a = 6

a = 3

Solving Inequalities

1

Solve for c. 

c - 11 > 22

c > 33

2

What are two possible solutions for x?

2x < 4

x: 0,1

3

Write an inequality

S is at most 55

s <= 55

4

165 > -7(4n - 4)

-5 < n OR n > -5

5

Create an inequality to represent the scenario and solve the inequality

Julie earns $7 for each car she washes. This week, she wants to save more than $56. How many cars must she wash?  

7c > 56

c > 8

True/false

1

We use inverse operations when solving equations and inequalities.

True

2

Addition is the inverse of division.

False. Addition is the inverse of subtraction

3

We use a closed circle to represent the inequalities < and > 

False. We use an open circle to represent the inequalities < and >

4

Inequalities only have one solution, just like equations.

False. Inequalities have infinitely many solutions. 

5

Given 2c + 4 > 14

We will distribute the 2 to both c and 4 first

False. We will subtract 4 from both sides first.

Kitchen Sink

1

Our school principal

Mr. Meek

2

College Mr. Hitchens attended

Emporia State University 

3

What is 25% of 200?

50

4

What year did Mr. Hitchens graduate from High School?

2020

5

What is the difference between an equation and an expression?

An equation you can solve and an expression you can simplify