Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you apply the Distributive Property to the expression 4(x + 2)?

Back

You multiply 4 by both x and 2, resulting in 4x + 8.

Front

Solve for x using the Distributive Property: 4(x + 2) = 16.

Back

x = 2.

Front

What is the first step to solve the equation 6(x + 3) = 48 using the Distributive Property?

Back

Distribute 6 to both x and 3, resulting in 6x + 18 = 48.

Front

After distributing in the equation 6(x + 3) = 48, what is the next step?

Back

Subtract 18 from both sides to isolate the term with x: 6x = 30.

Front

What is the solution for x in the equation 6(x + 3) = 48?

Back

x = 5.

Front

How do you solve the equation 9(x + 3) = 27 using the Distributive Property?

Back

Distribute 9 to both x and 3, resulting in 9x + 27 = 27, then solve for x.

Front

What is the solution for x in the equation 9(x + 3) = 27?

Back

x = 0.

Front

In the equation 6(2n + 5) = 66, what is the first step to solve for n?

Back

Distribute 6 to both 2n and 5, resulting in 12n + 30 = 66.

Front

What do you do after distributing in the equation 6(2n + 5) = 66?

Back

Subtract 30 from both sides to isolate the term with n: 12n = 36.