One-Step Equations
Two-Step/Multi-Step
Equations
Solving
Inequalities
Simplifying Expressions
Vocabulary
Adding/Subtracting Expressions
100

Solving Equations

Solve for x.

2x = 8

What is:

x = 4

100

Solving Equations

Solve for x. 

4x + 3 = 7


x = 1

100

Solve for c.  Graph the inequality on a number line.

c - 11 > 22

 

c > 33

100

Simplify -3(x - 4)

-3x + 12

100

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

What is 

"greater than or equal to"

100

Simplify the following expression by adding the expression:

4x + 8 + 3x - 9

7x - 1

200

Solve the equation 

X + 4 = -88

What is:

X = -92

200

Solving Equations

Solve for x. 

-9x + 1 = -71


x = 8

200

 Solve the inequality.  Graph the inequality on a number line.

-2x <- 4

X > 2

200

-4x - 10 + 2x - 5

-2x - 15

200

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

What is

"Less than or equal to"

200

Simplify the expression.

(-5x +7) + (3x + 3)

-2x + 10

300

solve the equation


z/30 = 70

z = 2,100

300

-44 = 2(y - 3)

-19 = y

or y = -19

300

Solve.  Graph the inequality on a number line.

6x - 8 + 2x < 8



x < 2


300

Are these expressions equivalent? Show work.


9(x - 6)   and   4x + 54 + 5x

No

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

300

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

What is: 

False


300

Simplify the expression by subtracting the expressions: 7x + 8 - (4x + 3)

3x + 5

400

solve the equation


-4x = 14

What is:

x = -3.5

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

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

400

Simplify the expression

 -2(y - 4) - 5y


-7y + 8

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

400

Simplify the expression by subtracting the expressions: - (3x - 7) -10x

-13x +7

500

Solve the Equation:

f - 9 = -58

What is:

f = -49

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.

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?  


 7c > 56

c > 8

500

Are these expressions equivalent? Show work 

-8h - 2.5   and -0.5(16h + 5)

YES

500

Write an inequality

S is at most 55

s <= 55

500

Simplify the expression by subtracting the expressions:  -(3x -8) - 8 + 7x

4x