Equations and Inequalities

Simplify Expressions

100

Distribute

3(4x + 2) 

What is:

12x + 6

200

Combine like terms

15j + 5j - 7j

What is:

13j

300

Combine like terms

12y + 5 - 2y + 3

What is:

10y + 8

400

Distribute, Then Combine like Terms

5(x + 4) +3x

What is:

8x +20

500

Fill in the blank:

3x * 6 = 6 * (  )

What is:

3x

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. 

5x = 25

What is: 

x = 5

400

Solve for v. 

v + 14 = 30

v = 16

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 

j is below 8

j < 8

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.

TRUE

Word Problems

100

Max had 250 baseball cards. His grandmother gave him some more cards for his birthday. He now has 325 cards. How many cards did his grandmother give him?

What is 75 cards.?

200

Tracy had some money in her banking account. She spent $47 on a new sweater. She now has $338 in her bank account. How much money did she have before she bought the sweater?

What is $385

300

Allie scored 23 points at the basketball game last night. She had some 2-point baskets and 7 free throws (worth 1 point each). How many 2-point baskets did Allie make?

What is 8 2-point baskets?

400

Jacob is a waiter at a local restaurant. He makes $8 an hour plus tips. One night he made $48 in tips. His total earnings for the night was $104. How many hours did he work?

What is 7 hours.?

500

Jamie bought a sweater for 75% of the original price. She paid $2.50 in tax. Her total bill was $43.

What is $54?