Algebraic Expressions Review

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2x + 3 is an algebraic expression.

Front

What does it mean to simplify an expression?

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

Front

What is the difference between terms and coefficients in an expression?

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Terms are the parts of an expression separated by + or - signs. Coefficients are the numerical factors in front of variables. For example, in 4x + 5, 4 is the coefficient of x.

Front

How do you find the difference of two algebraic expressions?

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To find the difference, subtract the second expression from the first, combining like terms.

Front

What is the GCF (Greatest Common Factor)?

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The GCF is the largest factor that two or more numbers share. It is used to factor expressions.

Front

How do you factor an expression using the GCF?

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To factor using the GCF, identify the GCF of the terms and divide each term by the GCF, then write the expression as the GCF multiplied by the resulting expression.

Front

What is a like term?

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

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What is the process of combining like terms?

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Combining like terms involves adding or subtracting the coefficients of like terms to simplify the expression.

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How do you distribute in algebra?

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To distribute means to multiply a term outside the parentheses by each term inside the parentheses. For example, a(b + c) = ab + ac.

Front

What is the result of simplifying the expression 1/8(16m - 8) - 17?

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The result is 2m - 18.