Solving Equations

One-Step Equations

100

Solve: x + 4 = 10

x = 6

200

Solve: y - 3 = -5

y = -2

300

Solve: 8m = -48

m = -6

400

Solve: r/5 = -9

r = -45

500

Solve: -8 + x = -12

x = -4

Two-Step Equations

100

Solve: 4x + 7 = 23

x = 4

200

Solve: y/3 - 4 = -2

y = 6

300

Solve: 5r + (-9) = -4

r = 1

400

Solve: (a + 7)/3 = -2

a = -13

500

Solve: -6 - x = 10

x = -16

Multi-Step Equations (Variable One Side)

100

Solve: 2x - 9 + 5x = 5

x = 2

200

Solve: 8 - 2y +7 -4y = 3

y = 2

300

Solve: 2(3x - 4) = 10

x = 3

400

Solve: -5(2x + 8) -3 = -33

x = -1

500

Solve: 9y - 3(2y + 7) = 21

y = 14

Multi-Step Equations (Variable Both Sides)

100

Solve: 4x - 7 = 5x + 8

x = -15

200

Solve: 3y + 3 = 3 + 7y

y = 0

300

Solve: -3(8x - 4) = 12 - 24x

Infinite Solutions

400

Solve: 3m - 6(4m + 2) = 7(-3m - 2)

No Solution

500

Solve: 4c - 8(5c - 3) - 4 = -4(5c - 1)

c = 1

Equations with Rational Coefficients

100

Solve: (2/3)x = -10

x = -15

200

Solve: (5/6)y = -25

y = -30

300

Solve: (2/5)x = 3

x = 15/2 or 7 1/2

400

Solve: (4/5)m -3 = 9

m = 15

500

Solve: -(5/8)r + 2 = 9

r = - 56/5 or -11 1/5