Unit 1 Exam Review: Equations and inequalities review

Simplify Expressions

100

Distribute

3(4x + 2) =12

x=1/2 or (0.5) or 6/12

200

Combine like terms

-3x + 2(5x - 4)=13

x=3

300

What is a shorter way to write x+x+x+x+x?

5x

400

Distribute, Then Combine like Terms

6(-5x + 1) -3(4x - 12)=0

x = 1

500

Is 3x + 6 equivalent to 3(x+2)?

Yes--they are equivalent expressions by the distributive property.

Solving Equations

100

Solving Equations

Solve for x. 

x + 3 = 7

What is: 

x = 4

200

Solving Equations

Solve for x.

2x = 8

What is: 

x = 4

300

Solving Equations

Solve for x. 

−15 + x = −9

What is: 

x = 6

400

Solve for v. 

m − 9 = −13

m = -4

500

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

100

Solving Inequalities

Solve for c. 

c - 11 > 22

What is: 

c < 33

200

What are two possible solutions for x?

2x < 4

x: 0,1

300

Write an inequality

S is at most 55

s <= 55

400

Write an Inequality 

Brianna, who is not yet 21 years old, is 2 years older than Lily.

x + 2 < 21

500

Modeling and Solving Inequalities

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?  

What is: 

 7c > 56

True/false

100

We use inverse operations to solve equations and inequalities.

True

200

Addition is the inverse of division.

False

300

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

False

400

Inequalities only have one solution, just like equations.

False. Inequalities have infinitely many solutions. 

500

Given c + 4 > 14

We use the inverse operation of subtraction to solve the inequality.

FALSE

Kitchen Sink

100

True or False: The the following numbers {-pi, 0, 2} are solutions to the inequality -2 < x + 1 < 0.

False!

200

In the following equation 3x + 12 = 14, what is the coefficient?

3

300

What is the difference between an "and" inequality and an "or" inequality.

"And" inequalities require BOTH conditions (or inequalities) to be true.

"Or" inequalities only require that ONE condition must be true.

400

For the inequality -5<x<2, how do you write this answer in interval notation?

(-5, 2)

500

Which of the following numbers ARE solutions to the inequality 5x>40?

{0, 0.75, 1, 5, 8, 11, 400)

{11, 400}