Solving Two-Step Equations with Distributive Property Flashcard

Front

What is a two-step equation?

Back

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

Front

What is the distributive property?

Back

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

Front

Simplify the expression: 4(2x - 3) - 2(3x + 5)

Back

8x - 12 - 6x - 10.

Front

Find the value of x in the equation: 5(2x - 1) = 39

Back

x = 4.

Front

Solve the equation: 2(4x + 3) = 26

Back

x = 2.

Front

Find the value of x in the equation: 4(3x - 2) = 20

Back

x = 3.

Front

What is the first step in solving the equation 2(3x - 5) = 16?

Back

Distribute the 2 to both terms inside the parentheses.

Front

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

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution to the equation 3x + 5 = 20?

Back

x = 5.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the value of the variable back into the original equation to see if both sides are equal.