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Year 8 Maths — Algebraic expressions

Identify terms and coefficients, collect like terms and evaluate an expression.

Name: ________________________

  1. 1.Sort each term by whether it is a like term of 4x.

    Groups: Like term of 4x · Not a like term of 4x

    • -9x
    • 7x
    • x
    • 4y
    • 9
    • 4xy

  2. 2.What is the coefficient of x in the expression 4x - 9?

  3. 3.Find the value of 2x + 3 when x = 4.

  4. 4.Find the value of a × a + 2 when a = 3.

  5. 5.Take m = 6. Match each expression to its value.

    • m + 4
    • 2m
    • m - 1
    • 3m
    • m ÷ 2
    • 3
    • 10
    • 5
    • 12
    • 18

  6. 6.Simplify 3x + 5x.

    • a) 2x
    • b) 8
    • c) 8x
    • d) 15x

  7. 7.How many terms are there in the expression 3x + 2y - 7?

  8. 8.Simplify 7a - 2a.

    • a) 14a
    • b) 5
    • c) 5a
    • d) 9a

Answer key — Year 8 Maths — Algebraic expressions

  1. 1. 7x → Like term of 4x; x → Like term of 4x; -9x → Like term of 4x; 4y → Not a like term of 4x; 4xy → Not a like term of 4x; 9 → Not a like term of 4x
  2. 2. 4
  3. 3. 11
  4. 4. 11
  5. 5. m + 4 → 10; 2m → 12; m - 1 → 5; 3m → 18; m ÷ 2 → 3
  6. 6. c) 8x
  7. 7. 3
  8. 8. c) 5a