(6) Equivalent Expressions (3-6)

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 does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

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

How do you find an equivalent expression using the distributive property?

Back

You can find an equivalent expression by multiplying each term inside the parentheses by the term outside.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the first step in simplifying the expression 2(3x + 4)?

Back

The first step is to apply the distributive property: 2 * 3x + 2 * 4.

Front

What is the result of simplifying 5(2x + 3)?

Back

The result is 10x + 15.

Front

How do you combine like terms in the expression 3x + 4x - 2?

Back

You add the coefficients of like terms: (3x + 4x) - 2 = 7x - 2.

Front

What is the equivalent expression for 4(2y + 5)?

Back

The equivalent expression is 8y + 20.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to write it as a product of its factors.