Equations

Two-Step Equations

100

2x + 3 = 11

x = 4

200

-3x - 2 = -17

x = 5

300

5m + 6 = 16

m = 2

400

33 = -n + 16

x = -17

500

2 - 6x = -16

x = 3

Multi-Step Equations

100

4n - 2n = 4

n = 2

200

-12 = 3 - 2k - 3k 

k = 3

300

-3(4r - 8) = -36

r = 5

400

24 = 6(-x - 3)

x = -7

500

75 = 3(-6n - 5)

n = -5

Variables on Both Sides

100

6r + 7 = 13 + 7r

r = -6

200

−14 + 6b + 7 − 2b = 1 + 5b

b = -8

300

−8n + 4(1 + 5n) = −6n − 14

n = -1

400

3(1 − 3x) = 2(−4x + 7)

x = -11

500

−3(x − 1) + 8(x − 3) = 6x + 7 − 5x

x = 7

Literal Equations

100

g = 6x , for x

x = g/6

200

z = m - x , for x

x = -z + m 

300

a - c = d - r, for a

a = c + d - r

400

u = (ak)/b, for a

a = (ub)/k

500

x = (yz)/6, for z

z = (6x)/y

Absolute Value Equations

100

|3x| = -9

No solution

200

|-2r - 1| = 11

r = -6 or r = 5

300

|v + 8| − 5 = 2

v = -1 or v = -15

400

3 |−8x| + 8 = 80

x = -3 or x = 3

500

2 − 5 |5m − 5| = −73

m = -2 or m = 4