A car travels 150 miles in 3 hours at a constant speed. What is the unit rate in miles per hour?
Ratios And Proportional Relationships
Question · Easy
Would you rather: marbles
Short
A recipe uses 3 cups of flour for every 2 cups of sugar. How many cups of flour are needed for 6 cups of sugar?
Which equation represents a proportional relationship with a constant of proportionality k = 4.5?
An item originally priced at $40 is on sale for 20% off. What is the discount amount in dollars?
If a 5-pound bag of apples costs $7.50, what is the cost per pound?
A meal at a restaurant costs $25.00. How much tip should be added for a 15% tip?
Maya reads 1/2 of a page in 1/4 of a minute. What is her reading rate in pages per minute?
What is 35% expressed as a fraction in simplest form?
A runner completes 3/4 of a lap in 1/2 of a minute. What is the runner's unit rate in laps per minute?
Question · Medium
The table below shows a proportional relationship between x and y: x = 3 when y = 12, and x = 5 when y = 20. What is the constant of proportionality k (where y = kx)?
A shirt originally priced at $48 is on sale for 25% off. A 6% sales tax is then applied to the sale price. What is the final total cost of the shirt?
Principal of $500 is deposited into an account earning 4% simple annual interest. How much total interest is earned after 3 years?
The population of a town increased from 8,000 to 9,200 residents. What was the percent increase in population?
A graph displays a line passing through (0,0) and (4, 18). What equation describes this proportional relationship?
A store buys a jacket for $60 wholesale and marks it up by 40%. During a clearance sale, the jacket is discounted by 20% off the retail price. What is the clearance price?
An athlete burns 210 calories during a 20-minute workout. At this constant rate, how many calories will the athlete burn in a 45-minute workout?
A map has a scale of 0.5 inches = 15 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them?
A car used 8 gallons of gasoline to travel 216 miles. At this rate, how many gallons are needed to travel 351 miles?
A water pump fills 2/5 of a tank in 1/3 of an hour. How long will it take to fill the entire tank at this constant rate?
The price of a bicycle dropped from $250 to $200. What is the percent decrease in price?
A contractor estimates that 4 workers can construct a wooden fence in 9 hours. If all workers work at the same constant rate, how many hours would it take 6 workers to construct the same fence?
Question · Hard
An investor puts $1,200 into a savings certificate earning 5% simple annual interest for 4 years. At the end of 4 years, the investor reinvests the entire balance (principal plus interest) into a new account earning 6% simple annual interest for 2 years. What is the total interest earned in the second investment period?
Printer A prints 3/8 of a booklet in 1/6 of an hour. Printer B prints 4/9 of the same booklet in 1/5 of an hour. Which printer is faster and by how many booklets per hour?
A store owner buys an item for $80. She marks up the price by 50% to establish the retail price. Later, she offers a discount of 20% off the retail price. Finally, a customer pays a 5% sales tax on the discounted price. What is the total amount paid by the customer?
The ratio of boys to girls in a school club is 3 : 5. After 6 new girls join the club, the ratio of boys to girls becomes 1 : 2. How many boys are in the club?
What is the value of -8 + (-5)?
The Number System
What is the value of -12 - (-7)?
What is the product of -6 and -9?
Convert the fraction 3/8 into a decimal.
Which fraction is equivalent to the repeating decimal 0.666...?
What is the distance between -4 and 7 on a standard number line?
Evaluate (-48) ÷ 6.
What is the value of -3 1/2 + 1 3/4?
Calculate (-2.5) × (3.2) - (-4.1).
A submarine descends at a constant rate of 14.5 feet per minute. What is the change in the submarine's elevation after 6 minutes?
Simplify: (-5/6) ÷ (2/3).
The temperature at 6:00 AM was -12°F. By noon, the temperature rose by 19°F. By 8:00 PM, the temperature dropped by 11°F. What was the temperature at 8:00 PM?
Convert 7/11 into a repeating decimal.
Evaluate the expression: (-3)² - (-2)³ + (-10).
A hiker starts at an elevation of -45 feet relative to sea level. She climbs up 120.5 feet, then descends 38.2 feet. What is her final elevation?
Which expression has the greatest numerical value?
Evaluate: [ (-3/4 + 1/2) ÷ (-5/8) ] - (1/5).
A bank account balance changes over 4 days as follows: Day 1: -$24.50, Day 2: +$85.00, Day 3: -$42.75, Day 4: -$30.25. If the starting balance was $150.00, what is the balance at the end of Day 4?
Simplify: [ (-4)³ + 14 ] / [ -2.5 × 4 - (-5) ].
Which rational number is located exactly halfway between -3/5 and 1/4 on a number line?
Expand the linear expression: 4(2x - 3).
Expressions And Equations
Factor the linear expression completely: 15x + 35.
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