algebra · Year 6 · AC9M6A02
One-step equations
An equation says two things are equal, and a letter like x stands for the number we do not yet know. To find x we get it on its own by undoing what has been done to it — using the inverse operation and doing the same to both sides. In x + 7 = 12, something is being added to x, so we subtract 7 from both sides: x = 12 − 7 = 5. Always check by putting your answer back in: 5 + 7 = 12. ✓ Adding when you should subtract is the classic slip.
Sample questions
x + 4 = 8. What is x?
- Do the inverse of + 4: subtract 4 from both sides.
- x = 8 − 4 = 4.
Answer: 4
x + 3 = 5. What is x?
- Do the inverse of + 3: subtract 3 from both sides.
- x = 5 − 3 = 2.
Answer: 2
x + 4 = 5. What is x?
- Do the inverse of + 4: subtract 4 from both sides.
- x = 5 − 4 = 1.
Answer: 1