Solving Two-Step Equations with Distributive Property Flashcard

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you apply the distributive property to the expression 3(x + 2)?

Back

You multiply 3 by both x and 2, resulting in 3x + 6.

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two operations to solve for the variable.

Front

How do you solve the equation 2(4x + 3) = 26?

Back

First, distribute 2 to get 8x + 6 = 26. Then, subtract 6 from both sides to get 8x = 20, and finally divide by 8 to find x = 2.

Front

What is the first step in solving the equation 5(2x - 1) = 39?

Back

Distribute 5 to get 10x - 5 = 39.

Front

How do you isolate the variable x in the equation 4(3x - 2) = 20?

Back

First, distribute 4 to get 12x - 8 = 20. Then, add 8 to both sides to get 12x = 28, and divide by 12 to find x = 2.33.

Front

What is the result of simplifying the expression 4(2x - 3) - 2(3x + 5)?

Back

You distribute to get 8x - 12 - 6x - 10, which simplifies to 2x - 22.

Front

What is the purpose of the distributive property in solving equations?

Back

The distributive property helps to simplify expressions and make it easier to isolate the variable.

Front

What is the solution to the equation 2(4x + 3) = 26?

Back

x = 2.

Front

What is the solution to the equation 5(2x - 1) = 39?

Back

x = 4.