A recipe calls for 3/4 cup of sugar for every 1/2 batch of cookies. What is the unit rate of sugar per full batch of cookies?
Ratios Proportions
Question · Easy
Flip it: the negative swing
Short
A runner completes 1/3 of a lap in 1/6 of a minute. At this constant rate, how many laps can the runner complete in 1 minute?
Which equation represents a proportional relationship with a constant of proportionality k = 4.5?
A table shows that 2 shirts cost $24, 4 shirts cost $48, and 6 shirts cost $72. What is the constant of proportionality (cost per shirt)?
A jacket originally priced at $60 is on sale for 25% off. What is the amount of the discount?
Would you rather: marbles
A diner bill is $40. If a customer leaves a 15% tip, how much is the tip?
A student earns $500 in principal savings and earns 3% simple interest per year. How much interest is earned after 1 year?
A painter paints 2/5 of a wall in 1/3 of an hour. How many walls can the painter paint in 1 hour?
Question · Medium
A car travels 12 1/2 miles in 1/4 of an hour. What is the car's average speed in miles per hour?
Store A sells 5 pounds of apples for $7.50. Store B sells 8 pounds of apples for $11.20. Which store has the lower unit price, and by how much?
The graph of a proportional relationship passes through the points (0,0) and (4, 18). What is the constant of proportionality?
If y is directly proportional to x, and y = 35 when x = 7, what is the value of y when x = 12?
A map scale shows 1/2 inch represents 15 miles. How many miles are represented by 3 1/2 inches on the map?
A retail store buys a coat for $80 and marks up the price by 40%. What is the retail price of the coat?
A pair of shoes costs $75. Wisconsin sales tax is 5%. What is the total cost of the shoes including sales tax?
In a town, school enrollment increased from 800 students last year to 920 students this year. What was the percent increase in enrollment?
A student estimated the length of a desk to be 48 inches. The actual measured length was 50 inches. What is the student's percent error?
Elena deposits $1,200 into a savings account that pays 4% simple annual interest. How much total money will be in the account after 3 years?
A tech store offers a 20% discount on a laptop priced at $800. After the discount, a 5% sales tax is added. What is the final amount paid?
A machine fills 3 3/4 gallons of juice in 1/8 of a minute. At this rate, how many gallons of juice will the machine fill in 2 1/2 minutes?
Question · Hard
A wholesaler buys an item for $150. He marks up the item by 40% to set the retail price. During a clearance sale, the retail price is discounted by 25%. What is the sale price of the item?
An investor opens an account with $2,500. It earns simple interest at a rate of r% per year. After 4 years, the total interest earned is $450. What is the annual interest rate r?
A car uses 3 1/3 gallons of gasoline to travel 90 miles. How many miles can the car travel on 8 1/2 gallons of gasoline at the same fuel efficiency?
Three quantities x, y, and z are related such that y is directly proportional to x with constant k1 = 2.5, and z is directly proportional to y with constant k2 = 1.6. What is the constant of proportionality relating z directly to x?
What is the value of -8 + 15?
Number System
What is the additive inverse of -4.2?
Evaluate: (-6) × (-7)
Convert the fraction 3/8 to a decimal.
Evaluate: -36 ÷ 9
What is the distance on a number line between -5 and 7?
Evaluate: -3 1/2 + 5 3/4
Evaluate: -4.5 - (-8.2)
Evaluate: (-2/3) × (9/10)
Evaluate: (-4 1/2) ÷ (-1 1/2)
The temperature at 6:00 AM was -12°F. By noon, the temperature had risen by 19°F. By 6:00 PM, it dropped by 8°F. What was the temperature at 6:00 PM?
A submarine is at a depth of -240 feet below sea level. It ascends 90 feet, then descends 150 feet. What is the submarine's final position relative to sea level?
Which fraction converts to a repeating decimal?
Calculate: -3.6 × 2.5 + (-4.2)
A bank account has a balance of -$45.00. The account owner deposits $120.00 and then writes a check for $85.50. What is the new balance?
Evaluate: 5/6 - 7/9
Evaluate the expression: [(-3.5) × (4/7)] - [(-5.4) ÷ (-0.9)]
Four friends split a dinner bill equally. The bill was $84.00 before a 15% tip and 5% tax were added to the original bill. If one friend pays with a $30 bill, how much change should that friend receive?
Which expression represents the exact distance between rational numbers a and b on a number line?
A stock price was $42.50 on Monday. It changed by -$3.25 on Tuesday, +$1.80 on Wednesday, -$4.10 on Thursday, and +$2.65 on Friday. What was the stock price at the end of Friday?
Simplify the expression: 4x + 7 - 2x + 3
Expressions Equations
Expand the expression: 3(2x - 5)
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