Equivalent Expressions Flashcard

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Use the distributive property to find an equivalent expression: 5(2f + 4)

Back

10f + 20

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.

Front

Combine like terms: 8c + 4 - 2c + 5

Back

6c + 9

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Use the distributive property to simplify: 2(r + y)

Back

2r + 2y

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

Combine like terms: 4 + 7z + 3 + 2z

Back

9z + 7

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value.

Front

What is the first step in simplifying an expression?

Back

The first step is to combine like terms.