23Geo A_HW #1 Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship between their quantities, meaning they can be set equal to each other.

Front

How do you solve for x in the equation 4x + 1 = 0?

Back

x = -1/4.

Front

What is the ratio of 4 red apples to 3 green apples?

Back

4 red apples to 3 green apples.

Front

What does the term 'of' mean in mathematics?

Back

In mathematics, 'of' typically means to multiply.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you determine if two ratios form a proportion?

Back

Cross-multiply the ratios; if the products are equal, they form a proportion.

Front

What is the relationship between unit rates and ratios?

Back

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

Front

If the ratio of boys to girls in a class is 2:3, how many boys are there if there are 15 girls?

Back

There are 10 boys.

Front

What is the first step in solving a proportion?

Back

Cross-multiply the two ratios.