Flashcard 4 Distributive property and simplifying expressions

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

Simplify: 9(2x + 2y)

Back

18x + 18y

Front

Simplify: 2(c - 8)

Back

2c - 16

Front

Simplify: 3(2c - 5)

Back

6c - 15

Front

Simplify: ⅓(3x – 24)

Back

x - 8

Front

Simplify: 9(5c + 4)

Back

45c + 36

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary parentheses.

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

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions and equations.

Front

What is an expression in mathematics?

Back

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