Equivalent Expression

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variables involved.

Front

Simplify: 3(2a-4b+5)

Back

6a-12b+15

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.

Front

Simplify: 15x + 10y

Back

5(3x + 2y)

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parentheses.

Front

Simplify: 9(y-7)

Back

9y - 63

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

Simplify: 4(5x + 9)

Back

20x + 36

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression, such as the 4 in 4x.

Front

Simplify: 2(4x - 1)

Back

8x - 2