Solving Equations 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

How do you apply the Distributive Property to solve equations?

Back

To apply the Distributive Property, multiply the term outside the parentheses by each term inside the parentheses, then combine like terms if necessary.

Front

Solve: 3(x + 4) = 21. What is x?

Back

x = 1.

Front

Solve: 2(3y - 5) = 4. What is y?

Back

y = 3.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve: 5(2 - x) = 15. What is x?

Back

x = -3.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

Solve: 4(2x + 3) = 28. What is x?

Back

x = 2.

Front

What is the first step in solving an equation using the Distributive Property?

Back

The first step is to apply the Distributive Property by multiplying the term outside the parentheses by each term inside.

Front

Solve: 6(2 - y) = 12. What is y?

Back

y = 0.