Solving Equations
Absolute Value
Proportions/Literal Equations
Weighted Averages
Word Problems
100

\frac{2b}{3} + 6 = 24

b = 27

100

Solve and graph the solution set:

|2x + 2| = 10

x = 4 or x = -6 

100

Solve the proportion: 

\frac{x}{10} = \frac{3}{15}

x = 2

100

Mari feeds her horse gourmet horse food that costs $15 per pound.  She combines it with cheaper food that costs $5 per pound. How many pounds of cheaper food should Mari buy to go with 5 pounds of gourmet food, if she wants the average price per pound to be $12 per pound?

15/7 lbs of cheaper food

100

Find three consecutive numbers that have a sum of 30. 

9, 10, 11

200

\frac{5}{6}k + \frac{2}{3} = \frac{4}{3}

k = 4/5

200

Solve and graph the solution set:

|8w + 5| = 21 

w = 2 or w = -13/4

200

Solve the proportion:

\frac{4}{x + 4} = \frac{3}{2x}

x = 12/5 = 2 2/5

200

A boat travels 10 miles in 2 hours due to choppy waves and then 26 miles in 2 hours once the waves calm down. What is the average speed of the boat?

9 mph

200

Find three consecutive odd numbers that have a sum of 33.

9, 11, 13

300

\frac{2}{5}h - 7 = \frac{12}{5}h-2h + 3

No solution

300

Solve and graph the solution set:

|-4d + 6| - 2 =10

d = -3/2 or d = 9/2

300

A scale model of Griffith Observatory has 3 in = 22 ft. If the building is 77 ft tall, how tall is the scale model?

10.5 in

300

A car leaves Prep heading to Disneyland at 50 mph. At the same time, a car leaves Disneyland heading to Prep at 60 mph. Prep and Disneyland are 45 miles apart. After how much time will they pass eachother?

9/22 hours = 24.5 minutes

300

A rectangle has base 2 and height h. Another rectangle has base 4 and height h-3. Find h if the areas are the same. 

h = 6

400

-5(3-q) + 4 = 5q-11

All real numbers

400

Solve and graph the solution set:

|-2x - 16|+4 = 2

No solution

400

Solve for a:

\frac{10ac-x}{11} = -3

a = \frac{-33 + x}{10c}

400

A candy maker is mixing up some sugar syrup for use in making sweets. How much of 50% sugar syrup and how much 10% sugar syrup should she use to obtain 12 gallons of a mixture that contains 22% sugar?

3.6 gallons of 50% and 8.4 gallons of 10%

400

Twice the lesser of two consecutive odd integers is one greater than three times the greater. 

-7, -5

500

If

9 = \frac{-6p-(-3)}{ -8}

,then what is the value of

2p-5

?

20

500

Solve and graph the solution set:

2|h|-3 = 8

h = 5.5 or h = -5.5

500

Solve for n: 

-14n +q =rt -4n

n = \frac{rt-q}{-10}

500

Make an absolute value equation to represent the situation and solve. Dani is doing an experiment in science class and knows that her answer could be ± 3 cm. She gets 45 cm as her answer. What is the range for the actual measurement?

| x-45| = 3

42 cm to 48 cm

600

Make an absolute value equation that has these values as solutions. Solve it to check.

|x + 1/2| = 7/2

600

Solve for a:

ax +z = aw - y

a = \frac{-y-z}{x-w}

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