Simplifying Expressions/Combining Like Terms

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What is the process of simplifying expressions in algebra?

Back

The process of simplifying expressions involves combining like terms, reducing fractions, and performing operations to rewrite the expression in a simpler form.

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, 3x and 5x are like terms, while 3x and 2y are not.

Tags

CCSS.6.EE.A.2B

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = (3 + 5)x = 8x.

Tags

CCSS.7.EE.A.1

Front

What is a coefficient in an algebraic expression?

Back

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

Tags

CCSS.6.EE.A.2B

Front

What is a constant in an algebraic expression?

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A constant is a term that does not contain any variables. For example, in the expression 3x + 2y + 7, the constant is 7.

Tags

CCSS.6.EE.A.2B

Front

How do you identify the coefficient of a variable in an expression?

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The coefficient of a variable is the number that is multiplied by the variable. For example, in 4m + n + 2, the coefficient of m is 4 and the coefficient of n is 1.

Tags

CCSS.6.EE.A.2B

Front

What is the result of simplifying the expression 3x - 5x?

Back

The result is -2x, as you combine the like terms by subtracting the coefficients: (3 - 5)x = -2x.

Tags

CCSS.7.EE.A.1

Front

How do you simplify the expression n - 10 + 9n - 3?

Back

Combine like terms: n + 9n = 10n and -10 - 3 = -13, resulting in 10n - 13.

Tags

CCSS.7.EE.A.1

Front

What is the simplified form of the expression 2x + 1 + 7x - 8?

Back

The simplified form is 9x - 7, as you combine like terms: 2x + 7x = 9x and 1 - 8 = -7.

Tags

CCSS.7.EE.A.1

Front

What is the importance of simplifying expressions in algebra?

Back

Simplifying expressions makes it easier to solve equations, understand relationships between variables, and perform calculations.

Tags

CCSS.7.EE.A.1