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Combining Like Terms: Classroom Packet

Grade 8 Algebra: Combining Like Terms

Name: ______________________Date: ____________Score: ____ / 6

Level 1

One variable

  1. 1. Simplify:
    3x+5x3x + 5x
  2. 2. Simplify:
    7a−2a7a - 2a
  3. 3. Simplify:
    4y+3+2y4y + 3 + 2y
  4. 4. Simplify:
    9m−m+49m - m + 4
  5. 5. Simplify:
    6+2k−1+3k6 + 2k - 1 + 3k
  6. 6. Simplify:
    −4n+10n−3-4n + 10n - 3

Answer Key

Level 1

  1. 1. 8x8x
  2. 2. 5a5a
  3. 3. 6y+36y + 3
  4. 4. 8m+48m + 4
  5. 5. 5k+55k + 5
  6. 6. 6n−36n - 3

Grade 8 Algebra: Combining Like Terms

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Two variables

  1. 1. Simplify:
    3x+2y+5x−y3x + 2y + 5x - y
  2. 2. Simplify:
    4a−3b−a+7b4a - 3b - a + 7b
  3. 3. Simplify:
    −2p+5q−6p−2q-2p + 5q - 6p - 2q
  4. 4. Simplify:
    x+y+x−y+4x + y + x - y + 4
  5. 5. Simplify:
    5m−2n+3−m+n5m - 2n + 3 - m + n
  6. 6. Simplify:
    −3c+8d−4+3c−d-3c + 8d - 4 + 3c - d

Answer Key

Level 2

  1. 1. 8x+y8x + y
  2. 2. 3a+4b3a + 4b
  3. 3. −8p+3q-8p + 3q
  4. 4. 2x+42x + 4
  5. 5. 4m−n+34m - n + 3
  6. 6. 7d−47d - 4

Grade 8 Algebra: Combining Like Terms

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Variables with exponents and fractions

  1. 1. Simplify:
    3x2+4x−x2+2x3x^2 + 4x - x^2 + 2x
  2. 2. Simplify:
    5a2−3a+2−2a2+a5a^2 - 3a + 2 - 2a^2 + a
  3. 3. Simplify:
    12x+34x\tfrac{1}{2}x + \tfrac{3}{4}x
  4. 4. Simplify:
    0.6y−1.5+0.4y+20.6y - 1.5 + 0.4y + 2
  5. 5. Simplify:
    2xy+3x−5xy+x2xy + 3x - 5xy + x
  6. 6. Simplify:
    4m2n−mn2+2m2n+3mn24m^2n - mn^2 + 2m^2n + 3mn^2

Answer Key

Level 3

  1. 1. 2x2+6x2x^2 + 6x
  2. 2. 3a2−2a+23a^2 - 2a + 2
  3. 3. 54x\tfrac{5}{4}x
  4. 4. y+0.5y + 0.5
  5. 5. −3xy+4x-3xy + 4x
  6. 6. 6m2n+2mn26m^2n + 2mn^2