Students determine a rate from a ratio of quantities with different units, then calculate and interpret the corresponding unit rate. For example, if 6 oranges cost $3, the unit rate is $0.50 per orange. They also compare unit rates to decide things like which store offers the better buy.
How the FAST tests this benchmark
The FAST presents equation editor items computing a unit rate and multiple choice items comparing rates, often framed as better-buy or faster-speed problems.
Skills students need
Find a unit rate from a real-world ratio
Compare unit rates to solve problems
Try 4 real MA.6.AR.3.2 questions
These come straight from Algebro's question bank. Pick an answer to check it instantly.
Question 1EasyMultiple Choice
Store A sells 5 bananas for $2.50. Store B sells 8 bananas for $3.60. Which store has the lower price per banana?
Correct answer: B. Store B at $0.45 per banana
This explanation shows one way to solve the problem.
Find Store A unit rate: $2.50÷5=$0.50 per banana.
Find Store B unit rate: $3.60÷8=$0.45 per banana.
Compare: $0.45<$0.50, so Store B has the lower price.
Final Answer
Store B at $0.45 per banana
Question 2MediumMultiple Choice
A bottle contains 19.2 ounces of juice split equally into 4 servings. How many ounces are in each serving?
Correct answer: A. 4.8 ounces
This explanation shows one way to solve the problem.
Write the rate: 19.2 ounces for 4 servings means each serving is 19.2÷4.
Perform the division: 19.2÷4=4.8 ounces per serving.
Final Answer
4.8 ounces per serving
Question 3MediumMultiple Choice
Store A sells 6 pounds of chicken for $13.20. Store B sells 4 pounds of chicken for $11.20. Which store is cheaper per pound?
Correct answer: C. Store A at $2.20 per lb
This explanation shows one way to solve the problem.
Find Store A unit rate: $13.20÷6=$2.20 per pound. 1320÷6=220
Find Store B unit rate: $11.20÷4=$2.80 per pound.
Compare: $2.20<$2.80, so Store A is cheaper.
Final Answer
Store A at $2.20 per lb
Question 4HardEquation Editor
A gardener spreads 5.6 pounds of fertilizer over 3.2 flower beds. How many pounds of fertilizer are used per flower bed?
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 1.75
This explanation shows one way to solve the problem.
Set up the division: We need pounds per bed: 3.25.6.
Remove the decimals: Multiply both the numerator and denominator by 10: 3256.
Simplify the fraction: Both 56 and 32 are divisible by 8. 56÷8=7 and 32÷8=4. The fraction becomes 47.
Convert to a decimal: 47=1.75. The gardener uses 1.75 pounds per flower bed.
Final Answer
1.75
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