Ratios, Proportions and Inequalities Review

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

Ratios can be written in three ways: as a fraction (1/2), with a colon (1:2), or with the word 'to' (1 to 2).

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 set the products equal to each other.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does it mean if a ratio is equivalent?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers.

Front

How can you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and they represent the same relationship between the two quantities.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one fraction by the denominator of the other to solve proportions.

Front

How do you represent a ratio in simplest form?

Back

To represent a ratio in simplest form, divide both terms by their greatest common factor.