7th Grade Ratios and Proportions

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.

Front

What is a proportion?

Back

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

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 5 pounds of candy cost $7.96, the unit rate is $7.96 ÷ 5 = $1.59 per pound.

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the ratio of y to x, which remains constant for proportional relationships.

Front

If 3 dozen cookies cost $9.00, what is the cost of one cookie?

Back

The cost of one cookie is $9.00 ÷ 36 = $0.25.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and denominator by the least common denominator (LCD) of the fractions involved.

Front

What is the formula for finding a ratio?

Back

The formula for finding a ratio is: Ratio = Part 1 : Part 2.

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity.

Front

What is a unit rate?

Back

A unit rate is a comparison of a quantity to one unit of another quantity, often expressed as 'per' something.