# Combining Like Terms Worksheet Free Pdf

# Combining Like Terms Worksheet

Combining like terms is an important algebraic skill, and practicing it with various examples can be very beneficial.

## Questions Table:

Question |
---|

1. Simplify the expression: 2x + 3x |

2. Simplify the expression: 4y – 2y |

3. Simplify the expression: 3a + 2b – 4a |

4. Simplify the expression: 5x + 2y – 3x – 2y |

5. Simplify the expression: 2(3x + 4y) |

6. Simplify the expression: 2x – 3(4x – 2) |

7. Simplify the expression: 3(a + b) – 2(2a – 3b) |

8. Simplify the expression: 5x – 2y + 3x + y |

9. Simplify the expression: 4(2x – 3) – 2(5x + 1) |

10. Simplify the expression: 2a(3a + 2b) – b(4a – 5b) |

11. Simplify the expression: 7x + 2x – 3x |

12. Simplify the expression: 2y + 3y – 5y |

13. Simplify the expression: 4(a – b) – 2(3a + 2b) |

14. Simplify the expression: 3x + 2y + 5x – 2y |

15. Simplify the expression: 2(4x + 3y) – 3(2x – y) |

16. Simplify the expression: 5(a + b) – 2(2a + b) |

17. Simplify the expression: 6x + 4y – 2x – 3y |

18. Simplify the expression: 3(2x – y) + 2(3x + 4y) |

19. Simplify the expression: 2a + 2a + 2a |

20. Simplify the expression: 5x – 3x + 4x – x |

## Solutions Table:

Solution with Method of Work |
---|

1. 2x + 3x = 5x |

2. 4y – 2y = 2y |

3. 3a + 2b – 4a = (3a – 4a) + 2b = -a + 2b |

4. 5x + 2y – 3x – 2y = (5x – 3x) + (2y – 2y) = 2x |

5. 2(3x + 4y) = 6x + 8y |

6. 2x – 3(4x – 2) = 2x – 12x + 6 = -10x + 6 |

7. 3(a + b) – 2(2a – 3b) = 3a + 3b – 4a + 6b = -a + 9b |

8. 5x – 2y + 3x + y = (5x + 3x) + (-2y + y) = 8x – y |

9. 4(2x – 3) – 2(5x + 1) = 8x – 12 – 10x – 2 = -2x – 14 |

10. 2a(3a + 2b) – b(4a – 5b) = 6a^2 + 4ab – 4ab + 5b^2 = 6a^2 + 5b^2 |

11. 7x + 2x – 3x = 6x |

12. 2y + 3y – 5y = (2y + 3y) – 5y = 5y – 5y = 0 |

13. 4(a – b) – 2(3a + 2b) = 4a – 4b – 6a – 4b = -10a – 8b |

14. 3x + 2y + 5x – 2y = (3x + 5x) + (2y – 2y) = 8x |

15. 2(4x + 3y) – 3(2x – |

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