Combining Like Terms

Front

What does it mean to combine like terms in an 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

What are like terms?

Back

Like terms are terms in an expression that have the same variable(s) and exponent(s). For example, 3x and 5x are like terms, while 3x and 4y are not.

Tags

CCSS.6.EE.A.2B

Front

How do you simplify the expression 3 + 5x + 8 - 2x?

Back

You combine like terms: 3 + 8 = 11 and 5x - 2x = 3x, resulting in 11 + 3x.

Tags

CCSS.7.EE.A.1

Front

What is the result of simplifying -8x + 4x?

Back

The result is -4x, as you combine the coefficients of the like terms.

Tags

CCSS.7.EE.A.1

Front

How do you simplify the expression 2x + 1 + 7x?

Back

Combine like terms: 2x + 7x = 9x, so the simplified expression is 9x + 1.

Tags

CCSS.7.EE.A.1

Front

What is the process for collecting like terms in the expression 4y + 8d - 2y + 3d?

Back

Combine like terms: 4y - 2y = 2y and 8d + 3d = 11d, resulting in 2y + 11d.

Tags

CCSS.7.EE.A.1

Front

What is the simplified form of 3x - 5x?

Back

The simplified form is -2x, as you subtract the coefficients of the like terms.

Tags

CCSS.7.EE.A.1

Front

Why is it important to combine like terms in algebra?

Back

Combining like terms simplifies expressions, making them easier to work with and understand, especially when solving equations.

Tags

CCSS.7.EE.A.1

Front

What is the first step in simplifying an algebraic expression?

Back

The first step is to identify and group like terms together.

Tags

CCSS.7.EE.A.1

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. They are separate types of terms.

Tags

CCSS.7.EE.A.1