Grade 6 Unit Rates Practice Test

Correct answer: A

The correct answer is How one quantity changes for each 1 unit of another quantity..

1. Identify the two quantities: Write the total amount and the number of units with their labels.
2. Divide by the number of units: A unit-rate table makes the constant amount per one unit easy to see.
3. Check the unit rate: The correct choice is How one quantity changes for each 1 unit of another quantity..

Correct answer: B

The correct answer is $y = 4x$.

1. Identify the two quantities: Write the total amount and the number of units with their labels.
2. Divide by the number of units: If x is the number of items, multiplying by 4 gives the total cost y.
3. Check the unit rate: The correct choice is $y = 4x$.

Correct answer: C

The correct answer is $38.50.

1. Identify the two quantities: Write the total amount and the number of units with their labels.
2. Divide by the number of units: Multiply the unit rate by the number of hours: $7 \times 5.5 = $38.50.
3. Check the unit rate: The correct choice is $38.50.

Correct answer: D

The correct answer is 2.5 parts per minute.

1. Identify the two quantities: Write the total amount and the number of units with their labels.
2. Divide by the number of units: Divide parts by minutes: $6 \div 2.4 = 2.5$ parts per minute.
3. Check the unit rate: The correct choice is 2.5 parts per minute.

Correct answer: A

The correct answer is Every matching pair in a table has the same quotient when the first quantity is divided by the second..

1. Identify the two quantities: Write the total amount and the number of units with their labels.
2. Divide by the number of units: A constant unit rate means the same amount corresponds to each one unit throughout the relationship.
3. Check the unit rate: The correct choice is Every matching pair in a table has the same quotient when the first quantity is divided by the second..

Correct answer: B

The correct answer is 3 miles per hour.

1. Identify the two quantities: Write the total amount and the number of units with their labels.
2. Divide by the number of units: Each distance divided by time is 3: $6 \div 2 = 12 \div 4 = 18 \div 6 = 3$.
3. Check the unit rate: The correct choice is 3 miles per hour.

Correct answer: C

The correct answer is The student used minutes as the unit without converting the 2 hours to minutes..

1. Identify the two quantities: Write the total amount and the number of units with their labels.
2. Divide by the number of units: The rate is 5 books per hour unless the time is converted to minutes first.
3. Check the unit rate: The correct choice is The student used minutes as the unit without converting the 2 hours to minutes..

Correct answer: D

The correct answer is An estimate can show whether the exact quotient is reasonable and reveal a misplaced decimal or reversed division..

1. Identify the two quantities: Write the total amount and the number of units with their labels.
2. Divide by the number of units: Reasonableness checks help catch calculation and interpretation errors.
3. Check the unit rate: The correct choice is An estimate can show whether the exact quotient is reasonable and reveal a misplaced decimal or reversed division..

Correct answer: A

The correct answer is How can dividing a quantity by one unit help compare prices, speeds, production, and real-world choices?.

1. Identify the two quantities: Write the total amount and the number of units with their labels.
2. Divide by the number of units: Unit rates provide a common basis for comparing different amounts and situations.
3. Check the unit rate: The correct choice is How can dividing a quantity by one unit help compare prices, speeds, production, and real-world choices?.

Correct answer: B

The correct answer is Unit rates compare an amount for one unit and help solve problems involving price, speed, production, fractions, decimals, tables, and equations..

1. Identify the two quantities: Write the total amount and the number of units with their labels.
2. Divide by the number of units: A complete summary connects division, units, proportional relationships, representations, and applications.
3. Check the unit rate: The correct choice is Unit rates compare an amount for one unit and help solve problems involving price, speed, production, fractions, decimals, tables, and equations..