Simplifying Algebraic Expressions

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What is an algebraic expression?

Back

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

Tags

CCSS.6.EE.A.2B

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.

Tags

CCSS.7.EE.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. For example, in 6f^2, 6 is the coefficient.

Tags

CCSS.6.EE.A.2B

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 5g^3 + 2, the number 2 is a constant.

Tags

CCSS.6.EE.A.2B

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

Simplify the expression: -5(x + 4)

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-5x - 20

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CCSS.6.EE.A.3

Front

What is the result of -r - 10r?

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-11r

Tags

CCSS.7.EE.A.1

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

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2a + 2b + 4

Tags

CCSS.7.EE.A.1

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol (often a letter) that represents an unknown value. For example, in 4x + 3, x is a variable.

Tags

CCSS.6.EE.A.2B

Front

What does it mean for terms to be '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.

Tags

CCSS.6.EE.A.2B