Solving Proportions

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 the terms and then solve for the variable.

Front

What does it mean to cross-multiply?

Back

Cross-multiplying means multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the cross-multiplication equation?

Back

The cross-multiplication equation is a*d = b*c.

Front

What is the first step in solving the proportion 3/4 = x/12?

Back

The first step is to cross-multiply: 3 * 12 = 4 * x.

Front

What is the solution to the proportion 3/4 = x/12?

Back

The solution is x = 9.

Front

If 5/8 = x/32, how do you find x?

Back

Cross-multiply to get 5 * 32 = 8 * x, then solve for x.

Front

What is the value of x in the proportion 5/8 = x/32?

Back

The value of x is 20.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used to solve problems involving ratios, such as scaling recipes or determining prices.

Front

Hunter buys 36 baseball cards for $18. How many baseball cards can Troy buy if he has $9?

Back

Troy can buy 18 baseball cards.