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Simplifying Variable Expressions Worksheet

This document provides 44 math problems involving combining like terms. Students are asked to simplify expressions by adding or subtracting terms with the same variables and exponents. The problems start with single-term addition and subtraction, then progress to more complex multi-term expressions involving multiple variables. Key rules mentioned include adding coefficients of like terms, and treating subtraction as adding the opposite.

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Christian Delapaz
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225 views2 pages

Simplifying Variable Expressions Worksheet

This document provides 44 math problems involving combining like terms. Students are asked to simplify expressions by adding or subtracting terms with the same variables and exponents. The problems start with single-term addition and subtraction, then progress to more complex multi-term expressions involving multiple variables. Key rules mentioned include adding coefficients of like terms, and treating subtraction as adding the opposite.

Uploaded by

Christian Delapaz
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOC, PDF, TXT or read online on Scribd
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Assignment #______ Combining Like Terms (P2) Name ___________________________

Standards: AF 1.3 Simplifying Variable Expressions Pre-Algebra, Period _______

Date ____________________________

Add the following LIKE terms. “When you add two different signs…” “Two of the same sign…”

1. 6x + 3x = 2. 15m + (– 5m) = 3. 3x + 7x =

4. 6 + x + 4 = 5. –2 + t + 10 = 6. 5 + m + m + m =

7. 7.6x + 4.8x = 8. –5 + x + x + 13 = 9. 65n + 48n =

10. 4x + 8y + 3x = 11. 5y + 8y + 4z = 12. 3 + 9b + 10 =

13. 8x2 + 2x2 + 7x = 14. 6xy + 3xy + 3x = 15. 7a + 5c + 4c =

16. 6a + 7b + 5a + 7b = 17. 3x + 6y + 2y + 8x = 18. 9x2 + 10 + 4x2 + 7 =

19. 7x2y + 8 + (–5x2y) + 4 = 20. 5a + 3b + 4c + 2a = 21. 6x3 + 9x + 10x3 + 4x2 =

22. 10x4 + (–8x3) + 4x3 + (–5x2) + 3x = 23. 8x + 6 + 7x + (–10) + (–5x) + 8 =


Here are some expressions with subtraction. Remember the subtraction rule (add the opposite).

24. 12a – 2a = 25. 3x – 7x = 26. 2xy – 7xy =

27. 3m – 10m = 28. 4xy – xy = 29. 5x + 3x – 11x =

30. 4m + m – 2m = 31. 6x2y – 2x2y – 10x2y + 8x2y =

Remember, just combine LIKE terms.

32. 3a + 5b – 7b = 33. 8s – 3x + 4k = 34. 10x + 6y – 5x =

35. 10x – 6y + 5x = 36. 16a + 9 – 7a = 37. a + 2b – 8a =

38. 2x – 6y + 7x + 2y = 39. 6s2 – 3x2 + 4t – 6s2 = 40. 8a2 + 4ab + 6a – 8a2 =

41. 8x + 6 + 7x + (–10) + (–5x) + 8 = 42. 6x – 7 + 8x3 – 4x – 6x3 – 1 – 8x – 2x3 =

43. 5 + x – 3 + 2x – x + 7 – 8 + x = 44. 6x2y + 3xy2 – 4x2y – 3xy2 + 9x + x2y – 20x =

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