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}