Equations & Inequalities

One Step

100

Solve for x.

x + 8 = -2

x = -10

200

Solve for x. 

x - 4 > 3

x > 7

300

Solve for x.

x/2 = -5

x = -10

 

400

Solve for x.

9 > 5 + x

4 > x  or  x < 4

500

Solve for x. 

-3x > -27

x < 9

Two Step

100

Solve for x.

5x + 19 > 4

x > -3

200

Solve for x.

x/2 + 7 = 8

x = 2

300

Solve for x.

-4x - 5 = 23

x = -7

400

Solve for x.

-4 = -12 + x/3

x = 24

500

Solve for x.

-2x - 10 < 8

x > -9

Distributive Property

100

Simplify.

4(x + 3)

4x + 12

200

Simplify.

-5 (x + 2)

-5x + -10

300

3 (6x - 10)

18x - 30

400

10 (-x + 12)

-10x + 120

500

-2 (-6 - 3x)

12 + 6x

Combining Like Terms

100

Simplify.

3x + 5 - 2x

x + 5

200

Simplify.

5 + 4a - 3 + a

5a + 2

300

Simplify.

8y - 7y + 10 - 3y

-2y + 10

400

Simplify.

6x - 7 - 9x

-3x - 7

500

Simplify.

4b - 3 - 1b + 1 - 3b + 2

0

Graphing Inequalities

100

Graph.

x > -5

Open dot at -5.  Arrow to the right.

200

Graph.

x is less than or equal to 1

Closed dot at 1.  Arrow to the left.

300

Graph.

x > 7

Open dot at 7. Arrow to the right.

400

Graph.

x plus 4 is greater than or equal to 6

x is greater than or equal to 2

Closed dot at 2.  Arrow to the right.

500

-5x > 15

x < -3

Open dot at -3.  Arrow to the left.