Adding and Subtracting 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 5g^3 + 2, the constant is 2.

Tags

CCSS.6.EE.A.2B

Front

How do you combine like terms in algebraic expressions?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable and exponent. For example, in 15x - 7x, combine to get 8x.

Tags

CCSS.7.EE.A.1

Front

What is the result of the expression (2x + 5) - (x + 4)?

Back

The result is x + 1.

Tags

CCSS.7.EE.A.1

Front

How do you simplify the expression -5(x + 4)?

Back

Distribute -5 to both terms inside the parentheses: -5x - 20.

Tags

CCSS.6.EE.A.3

Front

What is a monomial?

Back

A monomial is an algebraic expression that consists of one term, which can be a number, a variable, or a product of numbers and variables.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating parentheses.

Tags

CCSS.7.EE.A.1

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.

Front

What is the coefficient in the term 5x^2?

Back

The coefficient is the number in front of the variable, which is 5 in this case.

Tags

CCSS.6.EE.A.2B

Front

How do you distribute in algebra?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses. For example, -5(x + 4) becomes -5x - 20.

Tags

CCSS.6.EE.A.3

Front

What is the result of simplifying the expression 16x^2y - 4xy^2 - 5x^2y + 10xy^2?

Back

The result is 11x^2y + 6xy^2.

Tags

CCSS.7.EE.A.1