Solving Proportions Flashcard

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 unknown variable.

Front

What is the relationship between pounds and ounces?

Back

1 pound equals 16 ounces.

Front

If a car travels 120 miles in 3 hours, what is its speed in miles per hour?

Back

Speed = Distance/Time = 120 miles / 3 hours = 40 miles per hour.

Front

How do you determine if two fractions are equivalent?

Back

Two fractions are equivalent if they simplify to the same value.

Front

What is the formula for finding the time taken to travel a certain distance at a constant speed?

Back

Time = Distance / Speed.

Front

If 1/2 = x/8, what is the value of x?

Back

x = 4.

Front

What is the cross-multiplication method?

Back

Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction.

Front

If 3/4 = x/16, how do you find x?

Back

Cross-multiply: 3 * 16 = 4 * x, so x = 12.

Front

What does it mean for fractions to be in simplest form?

Back

Fractions are in simplest form when the numerator and denominator have no common factors other than 1.