A runner completes 3/4 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
Would you rather: marbles
Short
A bakery recipe requires 2/3 cup of sugar for every 1/2 batch of cookies. How many cups of sugar are needed for 1 full batch of cookies?
The table below shows a proportional relationship between x and y: x: 2, 5, 8 y: 14, 35, 56 What is the constant of proportionality (k = y/x)?
A line representing a proportional relationship passes through the origin (0, 0) and the point (4, 10). What is the constant of proportionality?
Which equation represents a direct proportional relationship with a constant of proportionality of 4.5?
A shirt costs $25.00 before tax. South Carolina sales tax is 6%. How much sales tax will be added to the purchase?
A restaurant meal costs $40.00. The customer leaves an 18% tip. What is the tip amount?
A winter jacket originally priced at $80.00 is on sale for 25% off. What is the final sale price of the jacket before tax?
Question · Medium
A sporting goods store buys a bicycle wholesale for $150.00 and marks up the price by 40%. What is the retail selling price?
A student estimated the height of a tree to be 15 meters. The actual measured height of the tree is 12 meters. What is the percent error of the estimation?
Deshaun deposits $500.00 into a savings account that earns 4% simple annual interest. How much total interest will he earn after 3 years?
Samantha borrows $1,200.00 at a simple interest rate of 5% per year for 2 years. What total amount must she pay back (principal plus interest)?
Store A sells 5 cans of soup for $6.00. Store B sells 8 cans of the same soup for $9.20. Which store has the lower unit price, and by how much per can?
A water pump fills 2/5 of a swimming pool in 3/4 of an hour. At this constant rate, how many hours will it take to fill the entire pool?
The population of a town in South Carolina increased from 24,000 residents to 30,000 residents over five years. What was the percent increase in population?
At a restaurant, a family's food subtotal is $50.00. A 6% sales tax is added, and the family leaves a 15% tip calculated on the original food subtotal. What is the total cost of the meal?
A proportional relationship is given by the equation y = 3.25x. If x = 12, what is the value of y?
The table shows values of x and y in a proportional relationship: x: 3, 7, 10 y: 10.5, 24.5, ? What is the missing y-value when x = 10?
A coat originally priced at $120.00 is discounted by 20%. During a clearance sale, an additional 10% discount is applied to the already discounted price. What is the final price of the coat?
Question · Hard
After receiving a 15% discount, the sale price of a pair of running shoes is $68.00. What was the original price of the shoes before the discount?
A painter completes 1 1/2 rooms in 3/4 of a day. Working at the exact same rate, how many total rooms will the painter complete in 2 full days?
Marcus invested $2,000.00 in a savings certificate earning 6% simple annual interest. If he earned a total of $360.00 in interest, how many years was the money invested?
During a science lab, a student measured the length of a copper wire to be 4.8 cm. The teacher measured the exact actual length to be 5.0 cm. What is the student's percent error?
A line on a distance-time graph representing a car driven at a constant speed passes through (0, 0) and (2, 90), where x is time in hours and y is distance in miles. How far will the car travel in 4.5 hours at this speed?
Evaluate the integer expression: -15 + 8.
The Number System
Evaluate: -12 - (-19).
Evaluate the product: (-3.5) × (-4.2).
Convert the fraction 5/8 to a decimal using long division.
What is the distance between -8 and 5 on a standard number line?
Evaluate: -24 ÷ (-0.6).
Evaluate: -2/3 + 3/4.
Evaluate: -1/2 - 2/5.
Evaluate the product: (-3/5) × (10/9).
Evaluate the quotient: (-4/7) ÷ (-8/21).
Using long division, express 7/11 as a repeating decimal.
Evaluate the expression: -4.5 + 2.8 - (-1.7).
At 6:00 AM, the temperature in Columbia, SC was -6°F. By noon, the temperature had risen by 14°F. What was the temperature at noon?
A bank account starts with an overdrawn balance of -$45.00. The owner deposits $120.00 and then makes a withdrawal of $35.00. What is the new account balance?
Evaluate: -3 1/2 + 1 3/4.
Evaluate: (-2)³ - 4 × (-3.5) + (-6) ÷ 2.
A research submarine starts at an elevation of -120.5 meters relative to sea level. It descends an additional 45.25 meters and then ascends 82.75 meters. What is the submarine's final elevation?
Evaluate the complex expression: [(-1.2) × (-5)] ÷ (-0.4).
Expand the linear expression using the distributive property: 4(2x - 5).
Expressions And Equations
Factor the expression completely using the greatest common factor (GCF): 12x + 18.
Simplify the expression by combining like terms: 5a - 3b + 2a - 7b.
Solve the two-step equation: 3x + 7 = 25.
Solve the equation: 5x - 8 = 32.
Loading more…