Solving equations: 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 number by a sum or difference.

Front

Solve using the Distributive Property: 5(x + 3) = 40

Back

x = 5

Front

What is the first step in solving the equation 2(x + 4) = 20?

Back

Distribute: 2x + 8 = 20.

Front

Which property is used when you rewrite 3(x + 2) as 3x + 6?

Back

Distributive Property.

Front

If 4(x + 1) = 20, what is x?

Back

x = 4.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify expressions by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve: 6(2x + 1) = 42

Back

x = 3.

Front

What is the result of applying the Distributive Property to 7(3 + 2)?

Back

35.

Front

How do you isolate x in the equation 2x + 3 = 11?

Back

Subtract 3 from both sides, then divide by 2.

Front

What is the equivalent expression for 8(2x + 5)?

Back

16x + 40.