Distributive Property, Combining Like Terms and Factoring

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

Simplify: 5x + 3x

Back

8x

Front

Factor the expression: 12y + 8

Back

4(3y + 2)

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

Which expression is equivalent to 2(3x + 4)?

Back

6x + 8

Front

Simplify: 7a - 2a + 5

Back

5a + 5

Front

What is the result of applying the Distributive Property to 4(2x + 3)?

Back

8x + 12

Front

Combine like terms: 4m + 5n - 2m + 3n

Back

2m + 8n