Absolute Value Equations
Proportions
Isolating Variables
Unit Conversions
100

|n - 5| = 7

n = {13, -2}

100

t/2 = 6/12

t = 1

100

Solve tg = k for g

g = k/t

100

Tom measured his room to be 11 feet wide. How wide is his room in inches?

132 inches

200

|m - 2| + 2

m = {0, 4}

200

4/9 = 13/q

q = 29.25

200

Solve 7a - b = 15a for a

a = -b/8

200

Laura is planning on running a 10 kilometer race. If 1 kilometer = 0.62 miles, how many miles will she run? 

6.2 miles

300

|8k - 5| = -7

No Solution

300

7/(x+9) = 21/36

x = 3

300

Solve (x - c)/2 = d for c

c = x - 2d

300
Sam has 3/4 a gallon of liquid soap. They need to pour the soap into containers that hold 1 cup each. How many containers can they fill if 1 gallon = 4 quarts and 1 quart = 4 cups?

12 containers

400

|5c - 3| = 1

c = {2/5, 4/5}

400

5/b = 3/(b-6)

b = 15

400

Solve bc + 3g = 2k for c

c = (2k - 3g)/b

400

Emmy was driving at 40 mph (miles per hour). What is her speed in feet per second?

58.67 ft/sec

500

2|h| - 3 = 8

h = {5.5, -5.5}

500

(7n - 2)/6 = (3n - 2)/4

n = -0.4

500

Solve ax + z = aw - y for a

a = (-y - z)/(x-w)

500

The largest single rough diamond ever found, the Cullinan Diamond, weighed 3106 carats. One carat is equivalent to the mass of 0.20 grams. What is the mass of this diamond in milligrams?

621200 mg

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