Equivalent Algebraic Expressions & The Distributive Property

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even though it may look different.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.

Front

Simplify the expression: 8(5 + w)

Back

40 + 8w

Front

Identify the coefficient in the expression: 6w + 1

Back

6

Front

Which expression is equivalent to 8(c + 20)?

Back

8c + 160

Front

Which of the following is equivalent to 5(2x + 6)?

Back

10x + 30

Front

Use the distributive property to simplify: 3(4x + 9)

Back

12x + 27

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.

Front

What does it mean to simplify an expression?

Back

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

Front

If you have the expression 2(x + 3), what is the simplified form?

Back

2x + 6