Algebraic Equations and Inequalities

Equations (one side)

100

2x + 3 = 9

x=3

200

3a - 4 = 8

a=4

300

6r - 2 + 3r = 7

r=1

400

1.5x + 3 + 1.5x = 9

x=2

500

1/3x - 2 = 1

x=9

Equations (two sides)

100

2x + 3 = 3x - 3

x=6

200

4w - 9 = 1 + 2w

w=5

300

7y - 3y = 8y - 32

y=8

400

-2x + 6 = 3x -19

x=5

500

-2.5x + 5 = 2.5x - 15

x=4

Inequalities

100

3x > 9

x>3

200

4a + 2 < 14

a<3

300

3x + 4 + 2x < 39

x<7

400

-3r + 16 > 2r - 24

r>8

500

7(x + 2) < 70

x < 8

Inequalities (negative coefficients)

100

-4x < 12

x>-3

200

18 < -3x

-6>x

300

-2x + 4 < 14

x>-5

400

-7x + 3 < -18

x>3

500

2x + 3 - 4x < -17

x>10

Rules

100

What is the first step in solving equations or inequalities?

1) Distributive Property

200

What is the second step in solving equations or inequalities?

What is Combine Like Terms

300

What should you do to simplify when you see an inequality or equation that has a coefficient multiplying a group. 

ex: 3(2x + 5) = 28

Distributive Property

400

How many solutions are there with inequalities?

What is Infinitely Many 

500

What should you do when dividing by a negative Value when solving inequalities?

Flip the inequality sign