Module 2 - Study Guide

Writing & Interpreting

100

Write an equation: “Nine more than a number is equal to 20.”

x + 9 = 20    OR    9 + x = 20

200

Give me the verbal equation for 3x−7=11?

Three times a number minus seven equals eleven.

300

Translate: “The quotient of a number and 4, decreased by 3, is equal to 5.”

x/4 - 3 = 5

400

James has saved $60 of the $180 he needs for a video game system. He saves $20 each week. Write an equation to represent the number of weeks.

60 + 20w = 180

Multi-Step Equations

100

Solve: 4a−6=10

a = 4

200

Solve: 10y + 4 − 2y = 28

y = 3

300

Solve: 2n/3 + 4 = 12

n = 12

400

Solve: 3(2n−1) + 4 = 25

n = 4

Variables on Both Sides

100

Solve: 13m = 30 - 2m

m = 2

200

Solve: 5m + 3 = 2m + 30

m = 9

300

Solve: 4(r + 1) = 2r + 24

r = 10

400

Solve:  4x + 4 - x = -2 + 3x + 5

no solution

Absolute Value

100

Solve: ∣x∣=6

{-6, 6}

200

Solve: |y – 7| = 2.

{5, 9}

300

Solve: |x - 8| = -10

Empty Set:  ∅ (no solution)

400

Write an absolute value equation for the graph with the solution set {-4, 2}

∣x + 1∣ = 3

Proportions

100

Solve: x/5 = 6/10

x = 3

200

Solve: 8/12 = y/18

y = 12

300

A map scale says 2 cm = 10 km. How many km does 7 cm represent?

x = 35 km

400

A container holds 80 oz of juice for 10 cups. How many ounces for 18 cups?

Set up the proportion first, then solve.

80/10 = x/18

x = 144 oz