A6 know the difference between an equation and an identity Quiz: Pearson Edexcel Maths, Unit 2

The 20 questions

1. Which statement is an identity?

   • 2(x + 1) ≡ 2x + 2
   • x² = 4
   • 3x = 9
   • 2x + 2 = 0

2. Which equation has exactly one solution?

   • 0 = 0
   • 2x = 10
   • x + 1 = x
   • x = x

3. Which of these is true for every value of x, so is an identity?

   • x + x = 2x
   • x² = 9
   • 3x > 6
   • x + 3 = 7

4. An equation is true for which values of its variables?

   • no values
   • only some values
   • all values
   • always positive values

5. Which expression is equivalent to 3(x + 2) − 2x?

   • x − 6
   • 3x + 4
   • x + 6
   • 5x + 6

6. Is x² − 9 = (x − 3)(x + 3) an equation or an identity?

   • Expression
   • Equation
   • Formula
   • Identity

7. Solve 4x + 2 = 18.

   • x = 5
   • x = 3
   • x = 4
   • x = 20

8. Which values of x satisfy x² = 16?

   • -16
   • 4 only
   • 16
   • 4 and -4

9. What symbol denotes an algebraic identity in GCSE maths?

   • =
   • ≤
   • ≈
   • ≡

10. What is (x + 1)² − (x − 1)² equal to?

    • 4x
    • x²
    • 2x
    • 4

11. Solve 3(x − 2) = 2x + 1.

    • x = -7
    • x = 7
    • x = 5
    • x = 3

12. Which statement is NOT an identity?

    • x² − 1 = (x − 1)(x + 1)
    • x + 0 = x
    • 2(x + 3) = 2x + 6
    • x + 1 = 2

13. Which algebraic term describes an equation that is always true?

    • Formula
    • Identity
    • Inequality
    • Quadratic

14. Solve 5x − 3 = 2x + 9.

    • x = 2
    • x = 4
    • x = 12
    • x = 6

15. Which equation has no real solution?

    • x² = 4
    • x² − 4 = 0
    • x² + 4 = 0
    • x + 4 = 0

16. For what value of k is 2(x + k) ≡ 2x + 10?

    • k = 10
    • k = 2
    • k = 5
    • k = 20

17. Solve (x + 2)/3 = 4.

    • x = 12
    • x = 6
    • x = 14
    • x = 10

18. Which of these is an identity when simplified?

    • x(x + 1) = 2x
    • x(x + 1) = x² + x
    • x(x + 1) = x² + 1
    • x(x + 1) = x

19. How many values of x make the statement 2x + 1 = 2x + 3 true?

    • none
    • infinitely many
    • one
    • two

20. What is the solution of 7 − 2x = 3?

    • x = 10
    • x = 2
    • x = 5
    • x = -5

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