Proportional Relationships Flashcard

Front

A recipe uses 3 cups of flour to make 12 cookies. Using a ratio table, how many cups of flour are needed to make 36 cookies?

Back

9 cups

Answer explanation

To find the flour for 36 cookies, set up a ratio: 3 cups for 12 cookies. For 36 cookies, multiply both sides by 3 (36/12). Thus, 3 cups x 3 = 9 cups of flour are needed.

Tags

VA.MATH.7.CE.2.a

Front

If 5 notebooks cost $15, use a ratio table to determine the cost of 8 notebooks.

Back

$24

Answer explanation

To find the cost of 8 notebooks, set up a ratio: 5 notebooks = $15. The cost per notebook is $3. For 8 notebooks, multiply 8 by $3, which equals $24. Thus, the correct answer is $24.

Tags

VA.MATH.7.CE.2.a

Front

A car travels 120 miles in 2 hours. Using a ratio table, how far will it travel in 5 hours at the same speed?

Back

300 miles

Answer explanation

The car travels 60 miles per hour (120 miles / 2 hours). In 5 hours, it will travel 60 miles/hour * 5 hours = 300 miles. Thus, the correct answer is 300 miles.

Tags

VA.MATH.7.CE.2.a

Front

A store sells 4 apples for $2. How much would 10 apples cost?

Back

$5

Answer explanation

The cost of 4 apples is $2, so 1 apple costs $0.50. For 10 apples, the cost is 10 x $0.50 = $5. Therefore, the correct answer is $5.

Tags

VA.MATH.7.CE.2.a

Front

Back

21

Answer explanation

To solve \( \frac{7}{21} = \frac{x}{63} \), cross-multiply: \( 7 \times 63 = 21 \times x \). This gives \( 441 = 21x \). Dividing both sides by 21, we find \( x = 21 \). Thus, the correct answer is 21.

Tags

VA.MATH.7.CE.2.b

Front

If 6 pencils cost $4, how much would 15 pencils cost?

Back

$10

Answer explanation

To find the cost of 15 pencils, set up the proportion: 6 pencils / $4 = 15 pencils / x. Cross-multiply to get 6x = 60. Solving for x gives x = $10. Thus, 15 pencils cost $10.

Tags

VA.MATH.7.CE.2.b

Front

A map shows that 1 inch represents 50 miles. If two cities are 3.5 inches apart on the map, how many miles apart are they in real life?

Back

175 miles

Answer explanation

To find the real distance, set up the proportion: 1 inch/50 miles = 3.5 inches/x miles. Cross-multiply to get x = 3.5 * 50 = 175 miles. Thus, the cities are 175 miles apart.

Tags

VA.MATH.7.CE.2.b

Front

Back

10

Answer explanation

To solve \( \frac{4}{x} = \frac{10}{25} \), simplify \( \frac{10}{25} \) to \( \frac{2}{5} \). Cross-multiply to get \( 4 \cdot 5 = 2 \cdot x \), which simplifies to \( 20 = 2x \). Thus, \( x = 10 \).

Tags

VA.MATH.7.CE.2.b

Front

A recipe calls for 2 cups of sugar for every 5 cups of flour. If you have 20 cups of flour, how many cups of sugar do you need?

Back

8 cups

Answer explanation

To find the amount of sugar needed, set up the proportion: 2 cups sugar / 5 cups flour = x cups sugar / 20 cups flour. Cross-multiply to get 5x = 40, so x = 8. Therefore, you need 8 cups of sugar.

Tags

VA.MATH.7.CE.2.b

Front

If 12 gallons of paint cover 480 square feet, how many gallons are needed to cover 800 square feet? Write and solve a proportion.

Back

20 gallons

Answer explanation

To find the gallons needed for 800 square feet, set up the proportion: 12 gallons/480 sq ft = x gallons/800 sq ft. Cross-multiply to get 480x = 9600. Solving gives x = 20 gallons, which is the correct answer.

Tags

VA.MATH.7.CE.2.b