Simplify Expressions
Solving Equations
Solving Inequalities
equations/inequalities
Order of Operations
100

Distribute

3(4x + 2) 

What is:

12x + 6

100

Solving Equations

Solve for x. 

x + 3.4 = 7

What is: 

x = 3.6

100

Solving Inequalities

Solve for c. 

c - 11 > 22

What is: 

c < 33

100

Erica is playing a board game. She currently has m points. The table shows the

results of her next three turns.

first turn she lose 30 points

second turn she earn 90 points

third turn she lose 5 points 

Which expression represents Erica’s point total (m) after the three turns?

A. m + 55

B. m + 125

C. m – 55

D. m – 125

A
100

3 + 15 ÷ 5

6

200

Combine like terms

3x + 2(5x - 7)

What is:

13x - 14

200

Solving Equations

Solve for x.

-3x = 63

What is: 

x = -21

200

What are two possible solutions for x?

2x < 4

x: 0,1

200

Wesley can use the equation y = 3x to calculate how far he has walked, where y

represents the number of miles walked, and x represents the number of hours

walked. How many hours must Wesley walk to travel 16.5 miles?

A. 5 hours

B. 5.5 hours

C. 6 hours

D. 6.5 hours


B

200

12 × 2 − 8 + 24 ÷ 6

20

300

Combine like terms


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

What is:

x - 11

300

Solving Equations

Solve for x. 

−15 + x = −9

What is: 

x = 6

300

Write an inequality

S is at most 55


s <= 55

300

Which real-world example(s) model(s) the inequality ?

Select ALL that apply. 3 ANSWERS

x ≥ 250

A. The number of students in the cafeteria cannot exceed 250.


B. To reach their fundraising goal, Mrs. Peel's class must sell at least candy bars 250


C. The maximum weight for a bridge is 250 metric tons.

D. To earn enough money for a video game system, Jason must complete a minimum of 250 chores.

E. Raymond must perform 250 or more pushups to pass a fitness test.

F. The length of a movie has to be under 250 minutes.

B D E

300

5 + 1 − 13 × 3

What is: 

-33

400

Distribute, Then Combine like Terms

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

What is:

-42x + 42

400

Solve for v. 

m − 9 = −13

m = -4

400

Write an Inequality 

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

x + 2 < 21

400

Waylon is typing a paper for keyboarding class. He has typed 648 words in 8 minutes.

He types at the same rate each minute.

Which equation represents the number of words (w) Waylon can type in m minutes?

A. w = 648m

B. w = 324m

C. w = 81m

D. w = 8m

C

400

25 ÷ 5 × 7 + (17 − 3)-85

-36

500

Factor

3x + 6

What is:

3(x + 2)

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

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

500
WHAT INEQUALITIES ARE REPRESENTED BY A OPEN CIRCLE?

WHAT INEQUALITIES ARE REPRESENTED BY A CLOSED CIRCLE ?

LESS THAN OR GREATER THAN 

LESS THAN/EQUAL TO OR GREATER THAN EQUAL TO




500

[5 - {33 - 5 }] • (3 - 6)

51

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