A6 Equations, identities and algebraic proof Quiz: AQA Maths, Unit 2

The 20 questions

1. Which of these linear equations has exactly one solution?

   • 2x = 2x + 1
   • x + 3 = 7
   • 3x = 3x
   • x + 1 = x + 1

2. What algebraic expression represents the sum of two consecutive whole numbers?

   • n + 1
   • 2n
   • 2n + 2
   • 2n + 1

3. Solve 5x - 3 = 2x + 9.

   • x = -4
   • x = 2
   • x = 4
   • x = 6

4. Solve 4(x - 2) = 20.

   • x = 3
   • x = 7
   • x = 22
   • x = 5

5. Solve x/3 + 4 = 10.

   • x = 2
   • x = 14
   • x = 6
   • x = 18

6. Solve 3x + 2 = x - 6.

   • x = 2
   • x = -4
   • x = -2
   • x = 4

7. What term describes an equation that is true for all values of x?

   • Identity
   • Inequality
   • Expression
   • Formula

8. Solve 2x - 7 = 3x + 4.

   • x = -11
   • x = -3
   • x = 3
   • x = 11

9. What is always true for the product of two consecutive integers?

   • Always odd
   • Always square
   • Always prime
   • Always even

10. Solve 6 - 2x = 14.

    • x = 4
    • x = -4
    • x = -10
    • x = 10

11. Solve (x + 2)/5 = 3.

    • x = 1
    • x = 17
    • x = 15
    • x = 13

12. Solve 7x - 4 = 3x + 12.

    • x = 16
    • x = -2
    • x = 2
    • x = 4

13. Which of these linear equations has no solution?

    • x + 2 = x + 5
    • x + 2 = 2
    • 2x = x + 5
    • x + 2 = 5

14. Show algebraically that the sum of three consecutive integers is a multiple of 3.

    • n + (n + 1) + (n + 2) = 3n + 2
    • n + (n + 1) + (n + 2) = 3(n + 1)
    • n + (n + 1) + (n + 2) = 2n + 3
    • n + (n + 1) + (n + 2) = 3n + 1

15. Solve 3(2x - 1) = 5x + 4.

    • x = -7
    • x = 1
    • x = 3
    • x = 7

16. A number is tripled and then 4 is subtracted, giving 26. Which equation is correct, and what is the number?

    • 3n - 4 = 26, so n = 10
    • 3n + 4 = 26, so n = 22/3
    • 3n - 4 = 22, so n = 26/3
    • 3(n - 4) = 26, so n = 38/3

17. Solve 3x/4 = 9.

    • x = 6
    • x = 36
    • x = 27/4
    • x = 12

18. Solve 0.5x + 1.5 = 4.

    • x = 2.5
    • x = 5
    • x = 11
    • x = 3

19. What type of algebraic statement is 3(x + 2) ≡ 3x + 6?

    • Identity
    • Equation
    • Inequality
    • Formula

20. Which equation models 'a number less 4 is 12'?

    • n - 12 = 4
    • n + 4 = 12
    • 4 - n = 12
    • n - 4 = 12

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