Ratio and Proportion
A recipe calls for 2 cups of sugar for every 5 cups of flour. What is the unit rate of sugar per cup of flour?
Answer: 0.4 cups
Evaluate: -4.5 + (-3.2) - (-1.1).
Answer: -6.6
Factor the expression: 15x - 10
5 (3x -2)
A pair of shoes was originally $80 but is now on sale for $60. What is the percent decrease?
80-60/80 = 25%
A bookstore buys a book for $10 and marks it up by 60%. What is the selling price?
10*160% = 16 $16.00
A car travels 150 miles in 2.5 hours. At this constant rate, how far will it travel in 4 hours?
Answer: 240 miles
A bird is flying at 12 feet above sea level. A fish is swimming at 4 feet below sea level. What is the vertical distance between them?
(Answer: 16 feet)
Simplify. 3(x + 4) - (x - 2)
2x + 14
Last year, 400 students attended the school dance. This year, 460 students attended. What is the percent increase?
460-400/400 = 15%
A $150 smartphone is "marked down" by 30%. What is the new sale price?
150*0.70 = 105 $105.00
Does the table {(2, 5), (4, 10), (6, 15)} represent a proportional relationship? If so, what is k?
Yes, it is. K = 2.5
The temperature was -12 degree. It dropped 4 degree every hour for 2.5 hours. What is the final temperature?
-22 degree
Simplify -2(x + 4) + 5x.
-2x-8+5x = 3x - 8
A baker predicted he would sell 150 cupcakes but actually sold 120. What is the percent error?
150-120/120 = 25%
A shop owner buys a rug for $80. He marks it up by 50%, but then it doesn't sell, so he marks that new price down by 20%. What is the final price?
$96.00
A blueprint uses the scale 1/4 inch = 2 feet. If a room is 3 inches long on the blueprint, how many feet long is the actual room?
(Answer: 24 feet)
A local NYC park crew can mow 2/5 of an acre of grass in 1/4 of an hour. At this rate, how many acres can they mow per hour?
1.6 acre
Simplify (8x + 12) - 0.5(4x - 6)
6x + 15
The price of a gallon of gas rose from $3.20 to $3.60. What was the percent increase?
3.6-3.2/3.2 = 12.5%
A jacket is on sale for $48 after a 25% discount. What was the original price?
48/0.75 = 64 $64.00
A chef uses a table to track dough: 4 pizzas need 5 lbs of dough, and 6 pizzas need 7.5 lbs. What is the Constant of Proportionality k, and how many lbs of dough are needed for 15 pizzas?
18.75 lbs
A construction crew can pave 3/4 of a mile of road in 2/3 of a day. At this constant rate, how many miles of road can the crew pave in one full day?
1 1/8 miles
Simplify -2(x + 4)-3( 2x - 5)
-8x + 7
A restaurant bill is $85.00. You must add 8% sales tax and a 20% tip (calculated from the original $85.00). What is the total amount paid?
$108.80
A jewelry store marks up all items by 120%. If a necklace is selling for $66, what was the original cost the store paid for it?
66/1.2 = 33 $33.00