Unit 3A Ratios and Proportions Test

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

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

How do you find the cost per item?

Back

To find the cost per item, divide the total cost by the number of items.

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

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.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, reduce it to the smallest whole numbers that maintain the same relationship.

Front

What is the formula for finding the constant of proportionality from a graph?

Back

The constant of proportionality (k) can be found by dividing the y-value by the corresponding x-value for any point on the line.

Front

If there are 18 students on a debate team and 6 are boys, what is the ratio of boys to girls?

Back

The ratio of boys to girls is 1:2.