Distribute and Combine Like Terms

Front

What does it mean to combine like terms in an algebraic expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

How do you identify like terms in an expression?

Back

Like terms are terms that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 3y are not.

Tags

CCSS.6.EE.A.2B

Front

What is the first step in simplifying the expression 6x + 2x + 1 + 4?

Back

The first step is to combine the like terms, which are 6x and 2x, resulting in 8x.

Tags

CCSS.7.EE.A.1

Front

What is the simplified form of the expression -7x + 5(1 - 8x)?

Back

The simplified form is 5 - 47x.

Tags

CCSS.6.EE.A.3

Front

What is the result of simplifying the expression 2x + 1 + 7x?

Back

The result is 9x + 1.

Tags

CCSS.7.EE.A.1

Front

How do you distribute a term in an expression?

Back

To distribute a term, you multiply it by each term inside the parentheses. For example, in 5(1 - 8x), you would calculate 5*1 and 5*(-8x).

Tags

CCSS.6.EE.A.3

Front

What is the simplified form of the expression 4(-x - 3)?

Back

The simplified form is -4x - 12.

Tags

CCSS.6.EE.A.3

Front

What is the process of simplifying the expression -6x + 4(-x - 3)?

Back

First, distribute 4 to both terms inside the parentheses, resulting in -6x - 4x - 12, then combine like terms to get -10x - 12.

Tags

CCSS.6.EE.A.3

Front

What is the importance of parentheses in algebraic expressions?

Back

Parentheses indicate which operations should be performed first, and they help clarify the order of operations in an expression.

Tags

CCSS.6.EE.A.2C

Front

What is the result of combining the like terms 30x and 15?

Back

The result is 30x + 15.

Tags

CCSS.7.EE.A.1