Distributive Property and Combine Like Terms

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

Simplify the expression: 2x + 1 + 7x

Back

9x + 1

Front

Which of the following is equivalent to 3h + 7(2 + 4h)?

Back

31h + 14

Front

Simplify the following expression: 2x + 7(x - 5) - 4

Back

9x - 39

Front

Apply the distributive property: -(2x + 3)

Back

-2x - 3

Front

Simplify: 5(a + 6)

Back

5a + 30

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify: 4(3x + 2) - 2x

Back

10x + 8

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent, simplifying the expression.