A runner completes 1/4 of a mile in 1/12 of an hour. What is the runner's average speed in miles per hour?
Ratios And Proportional Relationships
Question · Easy
Flip it: the negative swing
Short
A water pump fills 2/3 gallon of a container in 1/6 of a minute. What is the flow rate of the pump in gallons per minute?
Maya paints 3/5 of a wall using 1/2 can of paint. How many cans of paint does she need to paint the entire wall?
Question · Medium
A snail crawls 3/4 meter in 2/5 hour. What is the snail's speed in meters per hour?
An automated printing press prints 4 1/2 pages every 3/4 of a minute. How many pages does it print in 1 hour?
Question · Hard
Would you rather: marbles
A lawn mower consumes 5/8 gallon of gasoline to mow 1/3 of an acre. How many gallons of gasoline are required to mow 2 2/5 acres?
The total cost y of purchasing x pounds of apples is modeled by the equation y = 2.25x. What is the constant of proportionality, and what does it represent?
A table shows hours worked (h) and earnings (E): (2 hours, $36), (5 hours, $90), (8 hours, $144). Which equation represents this proportional relationship?
A car travels at a constant speed. The distance y (in miles) traveled in x hours is proportional. If the car travels 162 miles in 3 hours, which equation models this relationship?
A graph of a proportional relationship passes through the origin (0,0) and the point (4, 14). What is the constant of proportionality k in y = kx?
A chef uses a proportional recipe where y ounces of flour are needed for x servings of soup. If 18 ounces of flour make 12 servings, how many ounces of flour are needed for 30 servings?
Machine A produces 135 parts in 3 hours. Machine B's production is modeled by y = 48x, where y is parts and x is hours. Which machine is faster, and by how many parts per hour?
On a coordinate plane, a line representing a proportional relationship passes through (0,0), (1, r), and (6, 21). What is the value of r?
A jacket costs $60. Rhode Island sales tax is 7%. What is the total cost of the jacket including sales tax?
A dinner bill comes to $45.00 before tip. If the customer leaves an 18% tip, how much money is left for the tip?
A store buys a bicycle wholesale for $150 and marks it up by 40%. What is the retail selling price of the bicycle?
A pair of shoes originally priced at $80 is on sale at a 25% discount. If 7% Rhode Island sales tax is added to the sale price, what is the final cost?
An estimated attendance at a school festival was 400 people. The actual attendance was 450 people. What was the percent error of the estimate?
A student deposits $500 into a savings account that earns 3.5% simple interest per year. How much total interest will the account earn after 4 years?
The population of a town increased from 12,500 residents in 2020 to 14,000 residents in 2025. What was the percent increase in population?
A restaurant bill is $84 before tax and tip. Sales tax is 7% and tip is 18%, both calculated on the pre-tax bill. What is the total amount paid?
A wholesale distributor marks up a tablet by 50% above wholesale cost. Later, the store offers a clearance sale of 30% off the marked-up price. If the clearance price is $210, what was the original wholesale cost?
A scientist measured a chemical reaction time as 4.2 seconds. The theoretical value calculated by the computer model was 4.0 seconds. What was the percent error of the scientist's measurement relative to the theoretical value?
Jordan took out a simple interest loan of $2,400 for 3 years. At the end of 3 years, the total amount paid back (principal plus interest) was $2,760. What was the annual simple interest rate of the loan?
Store A sells an item for $120 with a 20% discount. Store B sells the same item for $130 with a 25% discount. Which store offers the lower final price, and by how much?
What is the value of -14 - (-9)?
The Number System
What is the product of (-4.5) and (-0.6)?
Simplify: (-3/4) ÷ (2/5).
What is the distance between -8 and 5 on a number line?
Which expression represents the distance between any two numbers a and b on a number line?
Evaluate the expression: -3.5 + 2 × (-4.2) - (-1.8).
Simplify: (-2 1/3) × (1 1/2) ÷ (-7/8).
What decimal is equivalent to the rational number -7/16?
Which fraction converts to a repeating decimal?
A submarine is at a depth of -145 feet relative to sea level. A drone is flying at an altitude of 320 feet directly above the submarine. What is the vertical distance between the submarine and the drone?
Two numbers x and y are plotted on a number line at x = -6.4 and y = 2.8. What is the distance between x and y?
At 6:00 AM, the temperature in Providence was -4°F. By noon, the temperature had risen by 15°F. By 8:00 PM, it dropped by 9°F. What was the temperature at 8:00 PM?
A bank account balance was -$32.50. After a deposit of $100.00 and a purchase of $45.75, what is the new account balance?
A hiker starts at an elevation of 250 feet above sea level, descends 420 feet into a canyon, and then climbs up 180 feet. What is the hiker's final elevation?
Evaluate the expression: (-1/2)^2 - 3/4 × (-2/3) + (-5/6).
If a = -3/5, b = 2/3, and c = -1/2, what is the value of the expression (a - b) / c?
Point A is located at -3 3/4 on a number line, and Point B is located at 2 1/2. What is the midpoint between Point A and Point B?
Over 5 consecutive trading days, a stock's price changed by: +$1.25, -$2.40, -$0.85, +$3.10, -$1.60. What was the average daily change in the stock price?
An industrial freezer's internal temperature drops at a constant rate of 1.8°C per minute. If the initial temperature was 4.5°C, what will the temperature be after 12 minutes?
A football team lost 6 yards on 1st down, gained 14 yards on 2nd down, suffered a penalty of -10 yards on 3rd down, and gained 7 yards on 4th down. What was the net change in yardage?
Expand the linear expression using the distributive property: -4(3x - 5).
Expressions And Equations
Loading more…