Solving Two Step Equations with Rational Numbers

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 first step in solving the equation 3x - 5 = 20?

Back

Add 5 to both sides of the equation.

Front

How do you isolate the variable in the equation 3x - 5 = 20?

Back

First, add 5 to both sides, then divide by 3.

Front

What is the solution to the equation 3(2x + 5) = 39?

Back

x = 4.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you apply the distributive property to the equation 3(2x + 5)?

Back

Multiply 3 by both 2x and 5 to get 6x + 15.

Front

What is the first step in solving the equation 50 = 28.1 + 0.15a?

Back

Subtract 28.1 from both sides.

Front

What is the final step to solve for a in the equation 50 = 28.1 + 0.15a?

Back

Divide both sides by 0.15.

Front

What does it mean to 'isolate the variable'?

Back

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

Front

What is the solution to the equation 50 = 28.1 + 0.15a?

Back

a = 146.