Multi-step Equations

inequalities

100

9x + 2 > 10x + 1

x < 1

200

4x - 6 < 5x - 3

x > -3

300

-2 - (2x - 6) < 7x - 8

x > 4/3

400

-2x - 1 < 9

x > -5

500

x - 6 < 15 + 8x

x > -3

like terms/distributive property

100

4(-4x - 1) + x + 3 = 44

x = -3

200

-4(-2x - 2) + x - 2 = -48

x = -6

300

-5(-2x - 5) - x - 1 = -12

x = -4

400

2 + 6(3x - 3) = 2x

x = 1

500

-9x -(7x - 8) = 6 - 10(x + 1)

x = 2

variables on both sides

100

7x - 3 = 8x - 2

x = -1

200

9x - 4 = 10x - 9

x = 5

300

-3x - 6 = -7x - 42

x = -9

400

-11x - 7 = -10x - 17

x = 10

500

5 + 2x = 2x + 6

no solution

equations with fractions

100

8/3(x + 6) = 14

x = -3/4 or -.75

200

5/2(5x + 4) = 13

x = 6/25

300

-5/2(3x - 1) + x = 7 - 5/2x

x = -9/8

400

-6 - 3(x - 6/5) = -3/5

x = -3/5

500

-3/2x - 3/2(-4x - 1) = 1

x = -1/9

equations with proportions

100

(3x + 7)/(x + 3) = 7/2

x = -7

200

(x+ 6)/(x - 2) = 5/9

x = -16

300

(4x + 1)/5 = (5x + 8)/6

x = -34

400

9/(x - 7) = 6/x

x = -14

500

(x + 10)/(x - 7) = 8/9

x = -146