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 two ratios and then solve for the unknown variable.

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 and setting the two products equal to each other.

Front

If \( \frac{a}{b} = \frac{c}{d} \), what is the relationship between a, b, c, and d?

Back

The relationship is that a times d equals b times c (ad = bc).

Front

What is the first step in solving the equation \( \frac{7}{9} = \frac{x}{6} \)?

Back

The first step is to cross-multiply: 7 * 6 = 9 * x.

Front

What is the value of x in the equation \( \frac{7}{9} = \frac{x}{6} \)?

Back

x = 4.67 (approximately).

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.

Front

How can proportions be used in real-life applications?

Back

Proportions can be used in various real-life applications such as cooking, scaling models, and financial calculations.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you find a unit rate from a proportion?

Back

To find a unit rate, divide the numerator by the denominator to express the ratio as a quantity per one unit.