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 -3(b + 4)?

Back

You multiply -3 by both b and 4, resulting in -3b - 12.

Front

What is the first step to solve -3(b + 4) = -18?

Back

Add 12 to both sides to isolate the term with b.

Front

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

Back

You get 2a + 6.

Front

What is the next step after 2a + 6 = 10?

Back

Subtract 6 from both sides to isolate 2a.

Front

What is the correct equation after applying the Distributive Property to 6(b - 4)?

Back

The correct equation is 6b - 24.

Front

What should you do after 4(c + 7) = 20?

Back

Subtract 28 from both sides to isolate the term with c.

Front

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

Back

You get 2a + 8.

Front

What is the next step after 2a + 8 = 12?

Back

Subtract 8 from both sides to isolate 2a.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to get the variable alone on one side of the equation.