Ratio and proportions Practice

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you find the price per item when given the total cost and quantity?

Back

Divide the total cost by the quantity. For example, if John spent $36 on 4 basketballs, the price per basketball is $36 ÷ 4 = $9.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two directly proportional quantities, often represented as 'k' in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

If Craig earns $37 for 4 hours, how much does he earn per hour?

Back

To find the hourly rate, divide the total earnings by the number of hours: $37 ÷ 4 = $9.25 per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to find a missing value in a proportion?

Back

If a/b = c/d, then ad = bc. You can cross-multiply to find the missing value.

Tags

CCSS.7.RP.A.3

Front

What are the characteristics of a proportional relationship?

Back

A proportional relationship has a constant ratio, a straight line graph that passes through the origin, and can be represented by the equation y = kx.

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if it is not a straight line.

Tags

CCSS.7.RP.A.2D

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2