Equations in One Variable

Solve Equations with Rational Coefficients

100

Solve. 0.5m = 3.5

m = 7

200

Solve. -1.8 = -0.6x

x = 3

300

Solve. 1/13a = 2

a = 26

400

Solve. 3/4t = 1/2

t = 2/3

500

Solve. 4/3m = 28

m = 21

Two-Step Equations

100

Solve. 2x + 4 = 14.5

x = 5.25

200

Solve. 5p - 10 = 0

p = 2

300

Solve. 6 + 2p = 16

p = 5

400

Solve. x/3 - 7 = 2

x = 27

500

Solve. -a + 1 = 15

a = -14

Writing Two-Step Equations

100

Translate. Then solve. "Seven more than three times a number is 16."

3x + 7 = 16; x = 3

200

Translate. Then, solve. "Seven more than the quotient of a number and -2 is 6."

x/2 + 7 = 6; x = 2

300

Translate. The Solve. "4 less than negative 5 times a number is -14."

-5x - 4 = -14; x = 2

400

Translate. Then, solve. "Eight less than the quotient of a number and 3 is 5"

x/3 - 8 = 5; x = 39

500

Translate. Then, solve. "Two less than five times a number is equal to 8."

5x - 2 = 8; x = 2

Equations with a Variable on Both Sides

100

Solve. 6x + 10 = 1x

x = -2

200

Solve. 2a - 5 = -3a

x = 1

300

Solve. 4a + 7 = 10 + a

a = 1

400

Solve. 7b - 4 = 2b + 16

b = 4

500

Solve. 6b - 4 = b +16

b = 4

Multi-Step Equations

100

Solve. 4(x - 3) = 44

x = 14

200

35 = 5(2d + 4)

d = 1.5

300

Solve. 4(k - 6) = 6(k + 2)

k = -18

400

Solve. 5p - 17 = 2(2p - 7)

p = 3

500

Solve. 5/9(g + 18) = 1/6g + 3

g = - 18