Equations and Inequalities Review

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

What is: 

x = 1

200

Solving Equations

4(6 + 5x) = 124

What is: 

x = 5

300

Solving Equations

-108 = -8(x + 6) - 4

What is: 

x = 7

400

Solving Equations.

254 = -2v - 6(2 +6v)

What is:

v = -7

500

Solving Equations

-93 = 7(-3k - 8) + 5

What is:

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

6(6n - 2) = 8n - 40

What is:

n = -1

200

Solving Equations

-4(-8p + 1) = -4 - 8p

What is:

p = 0

300

Solving Equations

6a - 7(2a + 4) = -33 - 8a

What is:

False statement, no solution

400

Solving Equations

-5(8n - 4) - n = - 16 - 5n

What is:

n = 1

500

Solving Equations

-15 - 5x = 5(-x - 3)

What is:

True statement, infinite solutions

Absolute Value Equations

100

Write an equation: Softball: This season a player scores 6 runs more than three times the number of runs she bats in. She scores 108 runs this season.

3b +6 = 108

200

The speed must be no greater than 15 mph.

s < 15

300

Money: a fitness club advertises a special for new members. Each month of membership costs $19, with an initial enrollment fee of $75. Write an equations to determine how many months were used when spending $227.

19m + 75 = $227

400

Create an equation that represents the following scenario.

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. 

H = 0.6d + 12

500

Create an equation that represents the following scenario.

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

Literal Equations

100

Solve for y.

3x + 2y = 2 

What is:

y = (-3/2)x + 1

200

Solve for x.

2x + 10y = -8

What is:

x = -5y - 4

300

Solve for y.

7x - 5y = -25

What is:

y = (7/5)x + 5

400

Solve for x.

u = xk + y

What is:

x = (u - y)/k

500

Solve for z.

3z + w = p

What is:

z = (p - w)/3

Solving Inequalities

100

Solving Inqualities

3 + 10c < -37

What is: 

c < -4

200

 Solving Inqualities

4(k + 1)> -68

What is:

k > -18

300

Solving Inqualities

-8(6 +x)<16

What is:

x > -8

400

Solving Inqualities

-43 > 8n + 5

What is:

n < -6

500

Solving Inqualities

-5(5 + p) < 25

What is:

p > -10