Solving one-step equations
Solving one-step equations is like unlocking a puzzle with a single move—just one mathematical operation stands between you and the answer. Whether you're dividing up a bill or adjusting a recipe, this skill helps you quickly figure out the missing value in everyday situations. Jump to the questions
Practise now
Solve for the variable in each of the following equations. Simply type the number.
Topic guide
What this worksheet practises
This worksheet practises solving simple algebraic equations in a single step. The goal of solving any equation is to find the value of the unknown letter by getting it on its own on one side of the equals sign.
Key method
To solve a one-step equation, you must perform the inverse (opposite) operation to both sides of the equation. This keeps the equation balanced.
- If a number is being added, subtract it from both sides.
- If a number is being subtracted, add it to both sides.
- If the letter is multiplied by a number (like 3x), divide both sides by that number.
- If the letter is divided by a number (like x/4), multiply both sides by that number.
Worked example
Solve the equation: x + 7 = 12
Step 1: Identify the operation happening to x. Here, 7 is being added.
Step 2: Apply the inverse operation. Subtract 7 from both sides.
x + 7 − 7 = 12 − 7
Step 3: Simplify to find the answer.
x = 5
How to check your answer
You can easily verify your answer by substituting it back into the original equation. In the example above, replace x with 5 to get 5 + 7 = 12. Since this is a true statement, you know your answer is completely correct.