Solve Proportions

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. For example, if y is proportional to x, then y = kx for some constant k.

Front

How do you determine if a table of values is proportional?

Back

A table of values is proportional if the ratio of the corresponding values is constant across all pairs.

Front

What is the cross-multiplication method used for?

Back

Cross-multiplication is used to solve proportions by multiplying the numerator of one fraction by the denominator of the other and setting the two products equal.

Front

Back

x = 1

Front

If 5 out of 15 students are girls, what is the proportion of girls?

Back

Front

How do you find a missing value in a proportion?

Back

To find a missing value in a proportion, set up the equation using cross-multiplication and solve for the unknown.

Front

What is the formula for finding the total number of items in a proportional relationship?

Back

If a part-to-whole ratio is known, the total can be found using the formula: Total = Part / (Part Ratio).

Front

Back

y = 4.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.