Lesson 13 Study Guide

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 2:3 and 4:6 are equivalent.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the two ratios. If the products are equal, the ratios are equivalent.

Front

What is the ratio of boys to girls in Ms. Johnson’s class if there are 20 boys and 5 girls?

Back

The ratio of boys to girls is 4:1.

Front

If Daniel uses 56 black beads and the ratio of black to red beads is 8:5, how many red beads will he use?

Back

Daniel will use 35 red beads.

Front

What does the point (30,20) represent in terms of ratios?

Back

The point (30,20) represents a ratio of 30:20, which simplifies to 3:2, indicating that for every 3 parts of one quantity, there are 2 parts of another.

Front

What is the significance of the point (6,18) on a graph representing ratios?

Back

The point (6,18) indicates that for every 6 units of one quantity, there are 18 units of another, which can be simplified to a ratio of 1:3.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed in the form 'a:b'.

Front

How can you express the ratio of 18 to 3 in simplest form?

Back

The ratio of 18 to 3 can be simplified to 6:1.

Front

What does it mean if a ratio is not equivalent?

Back

If a ratio is not equivalent, it means that the two quantities do not maintain the same relationship or proportion to each other.

Front

What is the first step in solving a problem involving ratios?

Back

The first step is to identify the quantities being compared and express them as a ratio.