Lesson 1: Solving Equations and Inequalities

Solving Linear Equations

100

Solve -4x + 3x = 2 for x.

x = -2

200

Solve 2(2x + 1) = 26 for x.

x = 6

300

Solve 7= 5y - 13 - y for y.

y = 5

400

Solve 0.1r - = 0.65 for r.

r = 16.5

500

Solve 92 = -4(2r - 5) for r.

r = -9

Solving Equations With a Variable On Both Sides

100

Solve 5x - 4 = 4x for x.

x = -4

200

Solve 7x = 9x + 12 for x.

x = -12

300

Solve 3(x-2) = 9x for x.

x = -1

400

Solve 4(x+9) = x+9 for x.

x = - 9

500

Solve 5r - 7 = 2r + 14 for r.

r = 7

Literal Equations and Formulas

100

Solve 2x+1 = 9 for x.

x = 4

200

Solve 3x+7=19 for x.

x = 4

300

Solve 1/2x - 1 = 5

x = 3

400

Solve 2x + 4 - 8 = 32

x = 18

500

Solve C = 5/9 (f - 32) for f.

f = 9/5c + 32

Solving Inequalities in One Variable

100

Solve x + 9 > 15

x > 6

200

Solve -0.3x < 6

x > -20

300

Solve 2.1x > 6.3

x > 3

400

Solve -3x > 15

x < -5

500

Solve -2.1x + 2.1 < 6.3

x > -2