Algebraic Proportions Practice

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms. For example, if a/b = c/d, then ad = bc.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio to find an unknown value.

Front

What is a direct proportion?

Back

A direct proportion is a relationship between two quantities where an increase in one quantity results in an increase in the other quantity, and vice versa.

Front

What is an inverse proportion?

Back

An inverse proportion is a relationship where an increase in one quantity results in a decrease in the other quantity.

Front

If 3/4 = x/12, what is x?

Back

x = 9, because cross-multiplying gives 3 * 12 = 4 * x, leading to 36 = 4x.

Front

What is the formula for finding a missing term in a proportion?

Back

The formula is a/b = c/x, where x is the missing term. You can solve for x by cross-multiplying.

Front

What does it mean for two ratios to be equivalent?

Back

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

Front

How can you check if two ratios are in proportion?

Back

You can check if two ratios are in proportion by cross-multiplying and seeing if the products are equal.

Front

What is a scale factor in proportions?

Back

A scale factor is a number that scales, or multiplies, one quantity to get another. In proportions, it relates the two ratios.