Equations and Inequalities review

One-Step Equations

100

Solving Equations

Solve for x.

2x = 8

What is:

x = 4

200

Solve the equation 

X + 4 = -88

What is:

X = -92

300

solve the equation

z/30 = 70

z = 2,100

400

solve the equation

-4x = 14

What is:

x = -3.5

500

Solve the Equation:

f - 9 = -58

What is:

f = -49

Two-Step/Multi-Step Equations

100

Solving Equations

Solve for x. 

4x + 3 = 7

What is: 

x = 1

200

Solving Equations

Solve for x. 

-9x + 1 = -71

What is: 

x = 8

300

-44 = 2(y - 3)

-19 = y

or y = -19

400

Write an equation to match the situation:

Your family goes to a Phantoms game.  They pay $5 to park in the parking garage and pay for 4 tickets.  Each ticket costs the same.  They spend 45. Which equation can be used to determine the cost of each ticket?

4t + 5 = 45.   or 5t + 4 = 45

4t + 5 = 45

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

Henry is 3 years old.

SolvingInequalities

100

Solving Inequalities

Solve for c. 

c - 11 > 22

What is: 

c > 33

200

 Solve the inequality

-2x <- 4

X > 2

300

Solve: 

6x - 8 + 2x < 8

What is

x < 2

400

A mechanic charges $20 per hour plus $80 to work on your car. The mechanic worked on the car for less than $160.  Let h represent the number of hours.

Write an inequality that can be used to represent the situation.

20h + 80 < 160

500

Write 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

Simplifying Expressions

100

Simplify -3(x - 4)

-3x + 12

200

-4x - 10 + 2x - 5

-2x - 15

300

Are these expressions equivalent?

9(x - 6).   and   4x + 54 + 5x

No

9x - 54 is not the same as 9x + 54

400

Which expression is equivalent to -2(y - 4) - 5y

7y - 8  or  -7y + 8

-7y + 8

500

Are these expressions equivalent?

-8h - 2.5   and -0.5(16h + 5)

YES

Vocabulary

100

For the phrase "at least", we use this inequality symbol

What is 

"greater than or equal to"

200

For the phrase "At most" we use this inequality symbol

What is

"Less than or equal to"

300

True or False: We use a closed circle to represent the inequalities < and > ?

What is: 

False

400

Is -2 a solution to the given inequality?  Explain why or why not.

-6x + 3 + 2x < 10

no because 11 is not less than 10

500

Write an inequality

S is at most 55

s <= 55