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 process of simplifying an expression?

Back

Combining like terms and using properties of operations to rewrite the expression in a simpler form.

Front

What is the Distributive Property?

Back

A property that states a(b + c) = ab + ac, meaning you multiply the term outside the parentheses by each term inside.

Front

What does it mean to factor an expression?

Back

To express the expression as a product of its factors, often by finding the greatest common factor.

Front

What is the greatest common factor (GCF)?

Back

The largest factor that two or more numbers share.

Front

How do you simplify the expression 4x + 8?

Back

By factoring out the GCF: 4(x + 2).

Front

What is the result of distributing -3 in the expression -3(2x - 4)?

Back

-6x + 12.

Front

What is a like term?

Back

Terms that have the same variable raised to the same power.

Front

What is the result of combining like terms in the expression 3x + 4x?

Back

7x.

Front

What is the purpose of using parentheses in expressions?

Back

To indicate which operations should be performed first according to the order of operations.