Semester Review - Simplify with Distributive Property

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: 4(8x + 1) - 6(1 - 8x)

Back

80x - 2

Front

Can 2xy be combined with 3xy^2?

Back

False

Front

Simplify: 2x^3 + 3xy^3 - 5y^3 + 4x^3 - 4xy^3 + 5x^3

Back

11x^3 - xy^3 - 5y^3

Front

Simplify: 3z + 5z + z + z + z^2 + 8

Back

z^2 + 10z + 8

Front

Simplify: 4x - 6x^2 + 9x + x^3 - 7x + 11x^2

Back

x^3 + 5x^2 + 6x

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 5y are not.

Front

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

Back

The first step is to distribute the multiplication across the terms inside the parentheses.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract the coefficients of terms that have the same variable and exponent.

Front

Simplify: 5(2x + 3) + 4(3x - 1)

Back

29x + 11