Adding and Subtracting Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes 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 are 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, while 3x and 4y are not.

Tags

CCSS.6.EE.A.2B

Front

What is a coefficient in an algebraic expression?

Back

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

How do you add algebraic expressions?

Back

To add algebraic expressions, combine like terms by adding their coefficients. For example, (-2x + 8) + (4x + 1) simplifies to 2x + 9.

Tags

CCSS.HSA.APR.A.1

Front

How do you subtract algebraic expressions?

Back

To subtract algebraic expressions, distribute the negative sign and then combine like terms. For example, (3x^2 + 2x - 1) - 2(x + 4) simplifies to 3x^2 - 9.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of simplifying 3x + 2y - 2x + 3y?

Back

The result is x + 5y.

Tags

CCSS.7.EE.A.1

Front

What is the result of simplifying (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)?

Back

The result is 11a^3 - 4a^2 - 14a - 7.

Tags

CCSS.HSA.APR.A.1

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and group like terms.

Tags

CCSS.7.EE.A.1

Front

What does it mean to combine like terms?

Back

Combining like terms means adding or subtracting the coefficients of terms that have the same variable and exponent.

Tags

CCSS.7.EE.A.1