6.7D Equivalent Expressions

Front

What are equivalent expressions?

Back

Expressions that have the same value for all values of the variable(s) involved.

Front

What is the purpose of simplifying expressions?

Back

To make them easier to work with and understand.

Front

What does it mean to combine like terms?

Back

To add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by each term inside a parenthesis.

Front

How do you evaluate an expression?

Back

By substituting the variable(s) with their values and performing the operations.

Front

What is a term in an expression?

Back

A single mathematical expression that can be a number, variable, or the product of numbers and variables.

Front

What is a coefficient?

Back

A numerical factor in a term of an expression.

Front

What is a constant?

Back

A fixed value that does not change.

Front

How do you identify like terms?

Back

Like terms have the same variable(s) raised to the same power.

Front

What is the first step in simplifying the expression 4x + 10 + 2x?

Back

Combine like terms: 4x + 2x = 6x.