Combining Like Terms and Simplifying Expressions 2

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

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 4y are not.

Tags

CCSS.6.EE.A.2B

Front

What is a constant in an algebraic expression?

Back

A constant is a term that does not contain any variables. It is a fixed value, such as -8 or 6 in the expression -x + 7x - 8 + 6 - 9x.

Tags

CCSS.6.EE.A.2B

Front

What is the coefficient of a term in an expression?

Back

The coefficient is the numerical factor in front of a variable. For example, in the term -12x, -12 is the coefficient.

Tags

CCSS.6.EE.A.2B

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 -8 - 8x + 4x - 6?

Back

Combine like terms: -8 - 6 = -14 and -8x + 4x = -4x, resulting in -4x - 14.

Tags

CCSS.7.EE.A.1

Front

How do you simplify the expression -x + 7x - 8 + 6 - 9x?

Back

Combine like terms: -x + 7x - 9x = -3x and -8 + 6 = -2, resulting in -3x - 2.

Tags

CCSS.7.EE.A.1

Front

What are the steps to simplify an algebraic expression?

Back

1. Identify and group like terms. 2. Combine the coefficients of like terms. 3. Simplify any constants. 4. Write the final simplified expression.

Tags

CCSS.7.EE.A.1

Front

What is the difference between a term and an expression?

Back

A term is a single mathematical entity (like 3x or -5), while an expression is a combination of one or more terms (like 3x - 5 + 2y).

Tags

CCSS.6.EE.A.2B

Front

Can you give an example of an expression with both variables and constants?

Back

An example of an expression with both variables and constants is 4x - 7 + 2y.

Tags

CCSS.6.EE.A.2B