Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

What does it mean to simplify an algebraic expression?

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

Front

What are like terms in algebra?

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Like terms are terms that have the same variable raised to the same power. They can be combined through addition or subtraction.

Front

How do you combine like terms in the expression b - 3 + 6 - 2b?

Back

Combine the coefficients of like terms: b - 2b = -b and -3 + 6 = 3, resulting in -b + 3.

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What is the distributive property in algebra?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you apply the distributive property to -6(a + 8)?

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Using the distributive property: -6(a + 8) = -6a - 48.

Front

What does it mean to factor an algebraic expression?

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Factoring an algebraic expression means to express it as a product of its factors.

Front

How do you factor the expression 4x + 10?

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Factor out the greatest common factor, which is 2: 4x + 10 = 2(2x + 5).

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What is the greatest common factor (GCF)?

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The greatest common factor is the largest factor that two or more numbers share.

Front

How do you simplify the expression 9 + 5r - 9r?

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Combine like terms: 5r - 9r = -4r, resulting in -4r + 9.