Practice Maths

Like Terms and Simplifying — Solutions

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  1. Identify like terms

    1. Like terms with 3x:
    2. Like terms with 5y:
    3. Like terms with 2y2:
    4. Like terms with 8:

  2. Simplify (single variable)

    1. 4a + 7a:
    2. 9b − 3b:
    3. 5m + 2m − 3m:
    4. 8x − x + 4x:
    5. 12n − 5n − 4n:
    6. 3p + 4p − 8p + 2p:
    7. 6t + 0 − 3t:
    8. −2k + 9k − 4k:

  3. Simplify (multiple variables)

    1. 3x + 2y − x + 5y:
    2. 6a + 3b − 2a − b:
    3. 4m − 3n + 7m + 6n:
    4. 5p + 2q − 3p − 2q:
    5. 8x − 4y + 3 − 2x + y + 1:
    6. 2a2 + 5a − 3a2 + 2a:
    7. x2 + 3x + 4 − 2x + x2 − 1:
    8. 7c + 4d − 3c + 2d − 5c:

  4. Find and correct errors

    1. 5x + 3y = 8xy:
    2. 4a + 2a2 = 6a3:
    3. 7m − 4m + 3 = 10m:
    4. 2x2 + 5x2 = 7x4:
    5. 8p − 8p = 8:
    6. 3ab + 2ab − ba = 4ab:

  5. Perimeter

    1. Triangle:
    2. Rectangle:
    3. Pentagon:

  6. Word problems

    1. Canteen sales:
    2. Pencils:
    3. Bricks:

  7. Simplify with negative coefficients

    1. −3x + 7x − 2x:
    2. 5a − 8a + a:
    3. −4m + 3m − m + 6m:
    4. 2p − 7p + 4p − p:
    5. −6n − n + 9n:
    6. −5t + 2t − 3t + t:
    7. 8k − 12k + 3k:
    8. −2b − 3b + 10b − 4b:

  8. Mixed variables and constants

    1. 4x + 3 − 2x + 7:
    2. 5a2 − 3a + a2 + 4a − 2:
    3. 6mn + 2m − 3mn + 5n − m:
    4. 3x2 + x − 4 − x2 + 3x + 6:
    5. 8p + 2q − 5p + 4 − q − 3:
    6. 4ab + 3a − 2ab − a + 5b:

  9. Evaluate after simplifying

    1. 3x + 5x − 2x:
    2. 4a − a + 6a:
    3. 7m + 2n − 3m + n:
    4. 2x2 + x − x2 + 4x:
    5. 5p − 8 + 2p + 3:
    6. 9y − 4z − 3y + z:

  10. Geometry and real-world

    1. Sports field perimeter:
    2. Total running distance:
    3. Total weight:
    4. Student errors: