Writing Equations
Solving Equations
Ratios & Proportions
Percent of Change
Everything Else
100
Translate the following into an equation: "Three times r less than 15 equal 6.
15 - 3r = 6
100
Solve: v - 9 = 14
v = 23
100
Are the following ratios proportional? 9/11 and 81/99
yes
100
Find the percent change and whether or not it's a decrease of an increase. original: 16 new: 10
38% decrease
100
Solve for a: 5a + c = -8a
a = -c/13
200
Translate: "The quotient of 25 and t plus 6 is the same as t plus 1."
25/t + 6 = 2t + 1
200
16 - (-t) = -45
t = -29
200
Solve the proportion: 7/4 = (f - 4)/8
f = 18
200
Find the percent change and whether or not it's a decrease of an increase. original: 21 hours new: 40 hours
90% increase
200
Solve for g: 7h + f = 2h + g
g = 5h + f
300
Translate into a sentence: 7m - q = 23
The product of 7 and m minus q is equal to 23.
300
Solve: 14v + 6 = 2(5 + 7v) - 4
all real numbers
300
At Piedmont High School, 3 out of every 8 students are athletes. If there are 1280 students at the school, how many are NOT athletes?
800 students are NOT athletes
300
Find the total price of the software after tax is added. software: $45 tax: 5.5%
$47.48
300
If each lap in a pool is 100 meters long, how many laps equal one mile? (Hint: 1 foot = 0.3048 meters)
16.1 laps
400
Translate: "Four times the sum of 14 and c is 15 less than b.
4(14 + c) = b - 15
400
Solve: 5(g + 8) - 7 = 103
g = 14
400
Solve the proportion. 10/15 = 4/(x - 5)
x = 11
400
Find the final price of the printer. printer: $60.00 discount: 25% tax: 6.75%
$48.04
400
Party Supplies Inc. sells metallic balloons for $2 each and helium balloons for $3.50 per bunch. Yesterday, they sold 36 more metallic balloons than the number of bunches of helium balloons. The total sales price for each type of balloons were $281. How many metallic balloons were sold?
74
500
Translate into a sentence: 7(p + 23) = 102
7 times the sum of p and 23 is equal to 102.
500
Solve: |-2y + 6| = 6
y = 0 and y = 6
500
Joel used a half gallon of paint to cover 84 square feet of wall. He has 932 square feet of wall to paint. How many gallons of paint should he purchase?
6 gallons
500
The current price of each share of a technology company is $135. If this represents a 16.2% increase over the past year, what was the price per share a year ago?
$116.18
500
In a triathlon, Mr. Korb swam 0.5 miles in 15 minutes, biked 20 miles in 90 minutes, and ran 4 miles in 30 minutes. What was Mr. Korbs average speed for the triathlon in miles per hour?
about 10.9 mph