Solving Equations
Absolute Value
Proportions/Percent of Change
Literal Equations/Dimensional Analysis
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
Convert 2 miles to yards.
3520 yards
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
Convert 10ft/s to yds/hour.
12,000 yds/hour
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
Find the percent of change and state whether it is an increase or decrease:
original: 30
new: 20
33.33% decrease
300
Solve for a:
\frac{10ac-x}{11} = -3
a = \frac{-33 + x}{10c}
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
Find the total cost if an item costs $21 and has a tax of 6%.
$22.26
400
Solve for n:
-14n +q =rt -4n
n = \frac{rt-q}{-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
Find the total price if an item costs $68.50 and is on sale for 15% off.
$58.23
500
Solve for a:
ax +z = aw - y
a = \frac{-y-z}{x-w}
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