Solving Two-Step Equations – Practice Problems

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When solving algebraic two-step equations, like one-step equations, your goal is to isolate the variable on one side of the equal sign, but for two-step equations, you will need to do an extra step, hence the name, two-step equations.

To solve two-step equations, the first step is to simplify the variable equation by using addition or subtraction. If a number is added or subtracted with the variable, do the opposite or inverse operation on both sides of the equal sign. Next is the second step, to isolate the variable that is multiplied or divided with a number, use the inverse operation on both sides of the equal sign and you will have solved for the variable.

For the equation 2x + 5 = 9, step one is to subtract 5 from both sides of the equation, leaving 2x = 4. Step two is to divide by 2 on both sides of the equation, leaving x = 2. By following the two steps, it’s easy to solve algebraic equations.

Just remember, to isolate the variable the first step is to add or subtract, and the second step is to multiply or divide. Don’t forget, the inverse of addition is subtraction, and the inverse of multiplication is division and remember, to keep the equation balanced, whatever you do to one side of the equation, you must do to the other.

Explain steps to solve algebraic equations. CCSS.MATH.CONTENT.HSA.REI.A.1

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Exercises in this Practice Problem
Determine the equation describing the situation.
Solve the equation.
Determine how many photos Shannon and her friends can take.
Solve the following equations.
Describe how to solve two-step equations.
Set up an equation to model the situation.