Solving Review

Multi-Step Equations

100

Solve for m: m + 2m - 4 = 14

m = 6

200

Solve for x: 5x - x = -12 + 5x - 1

x = 13

300

Solve for x: 2(5x - 3) = 14 - (x + 9)

x = 1

400

Solve for p: 2 - 5(2p + 6) = 14 + 6p

p = -2.625

500

Solve for y: -3(4y + 2) + y = 38 - 2(19 + y - y)

y = -0.5454...

Variables on Both Sides

100

Solve for y: 3y + 6 = -7y - 10

y = -1.6

200

Solve for b: 10b - 2(b + 5) = 4b + 8

b = 4.5

300

Solve for x: 4x + 7 - 5x = 5 - (x + 1)

No solution

400

Solve for x: 2x - 7(-3 + x) = 10 - 5x + 11

all solutions

500

Solve for x: 8 - (-4x + 8) + 5 = -3(3x + 1) - 5

x = -1

Quadratics

100

Solve for x: (x + 1)(x - 2)

x = -1 and x = 2

200

Solve by quadratic formula: y = x^2 + 4x + 3

x = -3 and x = -1

300

What are the roots? x^2 + 8x = -16

x = -4

400

Solve for x: y = 2x^2 + 5x + 3

x = -1.5 and x = -1

500

What are the solutions? y = 6x^2 - 23x + 7

x = 3.5 and x = 1/3

Inequalities

100

Solve for m: -2m + 4 < 34

m > -15

200

Solve for a: 10 + 4a < -6

a < -4

300

Solve for y: 6y - 10 - y > 14

y > 4.8

400

Solve for x: 2x - 7 > 4x - 1

x < -3 OR -3 > x

500

Solve for x: -9x + 2(x - 1) < 19

x > -3

Literal Equations

100

Solve for t: d = rt

t = d/r

200

Solve for y: 4x + 2y = 10

y = -2x + 5

300

Solve for r: I = prt

r = I/pt

400

Solve for q: 15s + 3q = 21

q = -5s+7

500

Solve for y: -20x - 4y = 16

y = -5x - 4