Solving Equations with Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number multiplied by a sum across the terms inside the parentheses.

Front

What is the first step to solving a distributive property equation?

Back

Distribute the number before the parentheses.

Front

Solve for x: 3(x - 20) = 15

Back

x = 25

Front

Solve for n: -4(8 + 5n) = 8

Back

n = -2

Front

Solve for y: 8(7 - y) = -24

Back

y = 10

Front

What does it mean to 'distribute' in an equation?

Back

To distribute means to multiply each term inside the parentheses by the number outside the parentheses.

Front

If 2(x + 3) = 14, what is x?

Back

x = 4

Front

What is the result of applying the distributive property to 5(2 + 3)?

Back

5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 4(3x - 2) = 20?

Back

x = 2.