Equations and Inequalities review

Writing Equations

100

Writing Equations

Create an equation that represents the following expression and then solve it.

Harvey's age doubled is 6

2x = 6

x = 3

200

Writing Equations

Create an equation that represents the following expression.

Roman paid $150 to join a gym. He pays an additional $15 for every time he attends one of the club's live fitness classes. Let C = the total cost and n = the number of times he takes fitness classes.

C = 15n + 150

C = 150 + 15n

300

Writing Equations

Create an equation that represents the following expression.

A real estate agent receives a salary of $600 per week plus a commission of $250 per sale. Write an equations that gives the weekly income y in terms of sales x. 

y = 600 +  250x

y = 250x + 600

400

Writing Equations

Create an equation that represents the following expression and solve it.

A sunflower in Julia's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeters per day. Write an equation expressing the sunflower's height, H, in terms of the number of days, d, since it was planted. Solve for the height at day 10.

H = 0.6d + 12

H = 18 

500

Writing Equations

Create an equation that represents the following expression.

A large factory sells its technological gadgets for $150 each. Before selling any of the gadgets, they had already spent $3000 on parts. Write an equation that represents the relationship.

y = 150x - 3000

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.

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

What is: 

x = -1

400

Solve for v.

(v-1)/4 = 2x + 5

v = 3

500

Solving Equations

Solve for x.

8x - 2(x+3) = 4x + 2

x = 4

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

On a Number Line

100

x is greater than or equal to -2

Closed circle ------>

200

x is less than 1

<------- open circle

300

x is at least 7

Closed Circle -------->

400

x does not exceed 15

<-------- open circle

500

x is at most 23

<-------- closed circle