Distributive Property Flashcard #1

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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What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. For example, if the length is 6p and the width is 10, the area is 6p * 10 = 60p.

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Back

Front

Identify the mistake: 4(3k) = 4 + 3k.

Back

The mistake is that addition was used instead of multiplication.

Front

Identify the mistake: 5(2x + 1) = 5(3x).

Back

The mistake is that you can't combine 2x + 1 to get 3x - they aren't like terms.

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What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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Front

What is a variable in algebra?

Back

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

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What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operators without an equality sign, while an equation states that two expressions are equal.