Distributive Property with Equations

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.

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Simplify: 3(2x + 4)

Back

6x + 12

Front

What does it mean to simplify an expression?

Back

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

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Back

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

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Back

Front

What is the first step in solving an equation using the Distributive Property?

Back

The first step is to apply the Distributive Property to eliminate parentheses.

Front

Simplify: 5(3x - 2) + 4

Back

15x - 10 + 4 = 15x - 6

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Front

Define 'like terms'.

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.