One-Step Equations Worksheets

Before starting, show the balance idea: whatever happens to one side must happen to the other. Students then work for about ten to fifteen minutes, one problem per line. They should write the operation they use on both sides, then the answer as x = 5. Use the answer key to check and ask students to substitute their solution back into the equation to confirm it.

This page is all about choosing the inverse operation: subtract to undo adding, divide to undo multiplying, and the reverse of each. Children often apply the wrong inverse or change only one side. The arithmetic is kept simple so that choice is the whole task. It follows missing-number problems with a box instead of x, and it leads straight into two-step equations and equations with negatives.

Numbers has Small, Medium and Large, which sets how big the solutions get, up to 12, 20 or 50. Begin with Small. Move to Large once the inverse choice is automatic. Twelve problems is plenty for a first session, and thirty works for review. A good variation: give half the page as a check by substituting the answers.

What is the first thing to teach for these equations?

That the equals sign is a balance. Whatever you do to one side, do to the other. After that, the question for each problem is simply which operation undoes the one you see.

Do the four types always come in the same order?

Yes, they rotate through add, subtract, multiply and divide, so every page has all four. Students who spot the pattern still have to carry out the correct inverse each time.

How can students check their own answers?

Put the answer in place of x and see if both sides are equal. For 3x = 21 and x = 7, 3 × 7 is 21, so it works. Checking takes a few seconds and builds confidence.