A car travels 180 miles in 3 hours at a constant speed. What is the unit rate in miles per hour?
Ratios Proportional Relationships
Question · Easy
Would you rather: marbles
Short
A recipe calls for 3 cups of flour for every 2 cups of sugar. If a baker uses 9 cups of flour, how many cups of sugar are needed to maintain the ratio?
A map has a scale of 1 inch = 15 miles. Two towns are 4 inches apart on the map. What is the actual distance between the two towns?
A jacket originally costs $50 and is marked down by 20%. What is the sale price of the jacket?
Which equation represents a proportional relationship between x and y with a constant of proportionality k = 4.5?
If 5 pounds of apples cost $7.50, what is the cost per pound of apples?
A painter paints 1/3 of a wall in 1/4 of an hour. What is the painter's unit rate in walls per hour?
Question · Medium
A table displays a proportional relationship between time t (in hours) and distance d (in miles): (2, 110), (4, 220), (6, 330). What is the constant of proportionality in miles per hour?
The price of a video game increased from $40 to $50. What was the percent increase in the price of the video game?
An item costs $80 before tax. The sales tax rate in Tennessee is 9.5%. What is the total cost of the item including sales tax?
A store owner buys a bicycle for $120 wholesale and marks up the price by 35%. What is the retail price of the bicycle?
Maya deposits $500 into a savings account that earns 4% simple annual interest. How much total money will be in her account after 3 years?
A diner customer leaves an 18% tip on a restaurant bill of $45. How much is the tip amount?
A blueprint uses a scale where 0.5 inches represents 4 feet. If a bedroom is 2.5 inches wide on the blueprint, what is the actual width of the bedroom in feet?
A car drives 210 miles using 7 gallons of gasoline. At this rate, how many gallons of gasoline are needed to travel 450 miles?
The point (1, 12.5) lies on a line representing a proportional relationship between hours worked (x) and total earnings in dollars (y). What does the point (1, 12.5) represent?
A lawnmower uses 2/5 of a gallon of gasoline to mow 3/10 of an acre. How many gallons of gasoline are needed to mow 1 full acre?
An investor borrows $2,500 at a simple interest rate of 6% per year. If the total interest paid is $450, for how many years was the money borrowed?
A wholesaler offers a 15% discount on an order of art supplies. A teacher also uses a coupon for an extra 10% off the discounted price. If the original price was $200, what is the final price?
Question · Hard
A scale drawing of a rectangular park has dimensions 5 cm by 8 cm. The scale is 1 cm = 12 meters. What is the actual area of the park in square meters?
Last year, a school had 400 students. This year, enrollment decreased by 5%. Next year, enrollment is projected to increase by 5% over this year's enrollment. What is the projected enrollment next year?
A packaging machine fills 4/5 of a box of cereal in 2/3 of a minute. How many full boxes of cereal can the machine fill in 10 minutes?
Evaluate the expression: -14 + 9.
Rational Numbers
What is the distance between -8 and 5 on a horizontal number line?
Evaluate the product: -6 × (-7).
What is -36 divided by 4?
Convert the fraction 3/8 to a decimal.
Evaluate the expression: -3/4 + 1/2.
Evaluate the expression: -5.2 - (-8.7).
Simplify the product: (-2/3) × (9/10).
A submarine is at an elevation of -120 feet relative to sea level. It descends another 45 feet, then ascends 70 feet. What is its new elevation?
The temperature at 6 AM was -4°F. By noon, the temperature had risen by 15°F. By 6 PM, it dropped by 8°F. What was the temperature at 6 PM?
Evaluate the quotient: (-4/5) ÷ (2/15).
A bank account balance changes by -$25 each week due to an automatic service fee. What is the total change in the account balance after 6 weeks?
Convert -7/11 to a repeating decimal.
Evaluate the expression: -3² + (-4) × (-2).
Which value is equivalent to (-3/4) ÷ (-1/8)?
A hiker starts at an altitude of 350 feet above sea level and walks down a canyon trail, descending at a rate of 40 feet per minute for 12 minutes. What is the hiker's final altitude relative to sea level?
Evaluate the expression: (-1/2 - 3/4) ÷ (-5/8).
The average daily temperatures across four consecutive winter days were recorded as -6°F, 2°F, -11°F, and -5°F. What was the mean daily temperature across these 4 days?
A hiker's water reservoir contains 2 1/4 liters of water. She drinks 3/8 of a liter of water during each hour of hiking. For how many hours will her water supply last?
Simplify the expression completely: -2.5 × (4.2 - 7.8) + 1.6.
Simplify the algebraic expression by combining like terms: 4x + 7 - 2x + 5.
Expressions Equations
Expand the expression using the distributive property: 3(2x - 5).
Solve for x in the equation: x + 9 = -4.
Solve for m in the equation: 4m = -28.
Which inequality represents the statement: 'a number y decreased by 4 is at least 10'?
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