Solving One-Step Equations – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

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Do you need help? Watch the Video Lesson for this Practice Problem. Solving One-Step Equations

When solving algebraic equations, your goal is to isolate the variable on one side of the equal sign. To do this, think about a balance scale. To keep the scale balanced, whatever amounts you add or subtract to one side of the scale you must do to the other. Likewise for multiplication and division.

For one-step equations, with just one step, you can calculate the value of the variable by doing the opposite operation (inverse operation). If a number is added to the variable on one side of the equal sign, to isolate the variable, leaving it alone on one side of the equal sign, subtract the number from both sides of the equal sign. If a number is subtracted from the variable, to isolate the variable, add the number to both sides of the equal sign, in one step.

For multiplication and division, follow the same strategy, isolate the variable by doing the opposite operation on both sides of the equal sign. If a number is multiplied with the variable, the opposite operation is to divide and vice versa.

Most important is to always keep the equation balanced. Whatever you do to one side of the equation, you must do to the other. Remember the opposite of subtraction is addition, and the opposite of multiplication is division.

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

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Exercises in this Practice Problem
Write an equation that best represents the number of missing baby lions.
Describe how to solve a one-step equation.
Find out how many giraffes belong to the giraffe family.
Find the solution for the following equations.
Determine the correct steps needed to solve an equation.
Solve the following equations.