Proportions

Front

What is a proportion?

Back

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

Front

How do you set up a proportion to solve for an unknown?

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are known values, and c is the unknown value you want to find.

Front

What is the cross-multiplication method in solving proportions?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio, and setting the two products equal to each other.

Front

If a ratio is 3:4, what is the equivalent ratio if both terms are multiplied by 2?

Back

The equivalent ratio is 6:8.

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first term by the sum of both terms and multiply by 100.

Front

What is the relationship between distance, rate, and time in proportional reasoning?

Back

The relationship is given by the formula: Distance = Rate × Time.

Front

If 5 apples cost $3, how much do 15 apples cost?

Back

Using proportions, 15 apples would cost $9.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you find the unit rate from a given ratio?

Back

To find the unit rate, divide the first quantity by the second quantity.

Front

What is the formula for finding the width of a rectangle if the height and ratio are known?

Back

Width = Height × (Width Ratio / Height Ratio).