EOC: Equivalency

Front

What is Equivalency in mathematics?

Back

Equivalency in mathematics refers to the relationship between two expressions that have the same value or represent the same quantity.

Front

Define equivalent fractions.

Back

Equivalent fractions are different fractions that represent the same value or proportion of a whole.

Front

How do you determine if two fractions are equivalent?

Back

Two fractions are equivalent if the cross products are equal, meaning a/b = c/d if and only if a*d = b*c.

Front

What is the process to simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

Give an example of equivalent fractions.

Back

1/2 and 2/4 are equivalent fractions because they both represent the same value.

Front

What is the importance of understanding equivalency in solving equations?

Back

Understanding equivalency is crucial for solving equations as it allows you to manipulate and transform equations while maintaining their equality.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they yield the same result for all values of the variables involved.

Front

Explain the concept of equivalent ratios.

Back

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

Front

How can you find equivalent ratios?

Back

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

Front

What is a proportion?

Back

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