Simplifying Algebraic Expressions

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 2x + 4 + x - 5x, the constant is 4.

Tags

CCSS.6.EE.A.2B

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both. In the expression 2x + 4 + x - 5x, there are 4 terms: 2x, 4, x, and -5x.

Tags

CCSS.6.EE.A.2B

Front

How do you simplify the expression 6n - 7n - 4 + n?

Back

Combine like terms: 6n - 7n + n = 0n - 4 = -4.

Tags

CCSS.7.EE.A.1

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term. In the expression -3x, -3 is the coefficient.

Tags

CCSS.6.EE.A.2B

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. In the expression 5 - 3y + 2x - 5y + x - 2 + 3x^2, the like terms are -3y and -5y, and 2x and x.

Tags

CCSS.6.EE.A.2B

Front

How many terms are in the expression 2x + 4 + x - 5x?

Back

There are 4 terms in the expression: 2x, 4, x, and -5x.

Tags

CCSS.6.EE.A.2B

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting the coefficients of terms that have the same variable. For example, in 2x + 3x, you combine to get 5x.

Tags

CCSS.7.EE.A.1

Front

What is the simplified form of the expression 8 + 7 - 3x + 9y - x?

Back

Combine like terms: 15 - 4x + 9y.

Tags

CCSS.7.EE.A.1

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value. For example, in 3x + 5, x is a variable and 5 is a constant.

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