Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

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 coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 6x, 6 is the coefficient.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

Front

What is the first step in simplifying the expression 5z - z - z - z?

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The first step is to combine the like terms: 5z - z - z - z = 5z - 3z = 2z.

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How do you simplify the expression 17 + 7h - 19 + 14h?

Back

Combine the constant terms (17 - 19) and the like terms (7h + 14h) to get -2 + 21h, which simplifies to 21h - 2.

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What is the result of simplifying -r - 10r?

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Combine the like terms: -r - 10r = -11r.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a term by a sum.

Front

How do you apply the distributive property to 7(a + 8)?

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Using the distributive property: 7(a + 8) = 7a + 56.