Two-Step Equations and Inequalities

Adding Two-Step Equations

100

2x + 6 = 18

x = 6

200

2x + 4 = 12

x = 4

300

5x + 18 = 13

x = -1

400

3c + 5 = 23

c = 6

500

3x - 5 = -14

x = -3

Subtracting Two-Step Equations

100

6x - 4 = 14

x = 3

200

4y - 9 = -45

y = -9

300

4a - 4 = 20

a = 6

400

4a - 7 = 33

a = 10

500

-2x - 63 = 47

x = -55

Adding Two-Step Inequalities

100

5x + 2 < -8

x < -2

200

2f + 32 < 126

f <47

300

2x + 6 > 18

x > 8

400

-2x + 9 > 23

x < -7

500

-4x + 2 > 18

x < -4

Subtracting Two-Step Inequalities

100

4x - 6 ≤ -10

x ≤ -1

200

3m - 2 > 7

m > 3

300

25 - 5r > -30

 r < 11

400

-5 - 4x < 11

x > -4

500

The temperature in the ice rink must stay below 50 degrees. This morning the temperature was 71 degrees. The ice rink runs a cooling device that can decrease the temperature by 3.5 degrees every hour. How many hours will it take for the temperature to fall below 50 degrees?

Inequality:  71 - 3.5x < 50

Solution:  x > 6

Random Review

100

The inverse operation for addition is...

subtraction

200

The inverse operation for multiplication is..

division

300

What is the first step in solving the equation:

2x + 7 = 15

Subtract 7 from both sides

400

What kind of circle would you use for the following symbol, and what direction would it go in?

<

Open circle, to the left

500

When you multiply or divide by a negative number you must _____ the inequality sign.

Flip or Reverse