Linear Equations and Inequalities

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

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

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

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

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

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

p = 0

300

Solving Equations

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

n = -1

400

Solving Equations

5x + 5 + 4x = 4 - 3x + 6

x= 5/12    or    x= 0.41667

500

Solving Equations

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

n = 1

Literal Equations

100

Solve for p.

ap = x

x/a = p

200

Solve for L.

V= LWH

L=V/(WH)

300

Solve for n.

V = 2n + p

n = (V-p)/2

400

Solve for d.
2x = abc - d

d = -2x+abc

500

((x-h)/a)^2=1, solve for x

x=a+h

Inequalities

100

List the Order of Operations

PEMDAS

200

Solve for x: −1 < x + 3 < 5

-4 < x < 2

300

Tina and Maryann each play tennis. Maryann has won 5 more games than Tina. Is it possible for Tina to have won 12 games if the sum of the games Maryann and Tina have won together is 29?

Yes; Tina could have won 12 games because 2x + 5 = 29.

400

Solve the inequality 2x + 8 < 5x − 4.  

x>4

500

Solve for x: 3 < - x + 3 < 6

0 > x > -3

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= 16

500

16 = x/2

x= 32