Combining like terms worksheets
Simplify algebraic expressions by adding and subtracting like terms. Answers in the key are written in standard order — x², then x, then y, then the constant.
How to solve them
- Like terms have exactly the same variable part: 3x and -5x are like terms; 3x and 3x² are not.
- Distribute first if there are parentheses: 3(2x - 4) = 6x - 12.
- Add the coefficients of each kind of term, keeping their signs.
- Write the answer with the highest power first and the constant last.
Ready-to-print combining like terms worksheets
Nine fixed sets — three per level. Each PDF has the problems followed by the answer key.
Levels
| Level | Expressions | Grade |
|---|---|---|
| Easy | x terms and constants, positive answers | 6 |
| Medium | x, y and constants with negative coefficients | 6–7 |
| Hard | A distributed bracket plus x², x and constants | 7–8 |
Check your answer
Substitute a number for x (and y) in the original expression and in your answer. If the results match for two different numbers, the simplification is almost certainly right — that is exactly how the answer keys on these sheets are tested.
Charts that help
- PEMDAS chart — free printable PDF
More math generators: multiplication, long division, comparing fractions, multiplying fractions, adding fractions, least common multiple (lcm), greatest common factor (gcf), area, place value, addition, subtraction. Or print a whole grade: 4th, 5th and 6th grade math.
Frequently asked questions
What order are the answers written in?
Standard form: the x² term, then x, then y, then the constant. A coefficient of 1 is left out (x, not 1x), and terms that cancel to zero are dropped.
Why is a minus sign written with a short dash?
The sheets use a plain hyphen for minus so they print the same on every printer and PDF viewer.
Is there an answer key?
Yes. The PDF always ends with an answer key for the same problems, so you can print the questions for students and keep the key. Every answer is checked by automated tests.
Can I print the same worksheet again later?
Yes. Every sheet has a set number (the seed) printed in the footer and saved in the page address. Open the same link, or type the same level, count and set number, and you get exactly the same problems and answer key.