Simplifying Expressions

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What does it mean to simplify an expression in algebra?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form, making it easier to work with.

Tags

CCSS.7.EE.A.1

Front

What are like terms in an algebraic expression?

Back

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

Tags

CCSS.6.EE.A.2B

Front

How do you combine like terms?

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To combine like terms, you add or subtract the coefficients of the terms that have the same variable. For example, 5a + 2a = 7a.

Tags

CCSS.7.EE.A.1

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Tags

CCSS.1.OA.B.3

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, ab = ba.

Tags

CCSS.3.OA.B.5

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. For example, (a + b) + c = a + (b + c).

Tags

CCSS.1.OA.B.3

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped does not change their product. For example, (ab)c = a(bc).

Tags

CCSS.3.OA.B.5

Front

How do you add two algebraic expressions?

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To add two algebraic expressions, combine like terms from both expressions. For example, (x + 5) + (2x + 10) = 3x + 15.

Tags

CCSS.HSA.APR.A.1

Front

What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 4x, 4 is the coefficient.

Tags

CCSS.6.EE.A.2B

Front

What is a constant in an algebraic expression?

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A constant is a fixed value that does not change. For example, in the expression 3x + 4, the number 4 is a constant.

Tags

CCSS.6.EE.A.2B