A19 solve two simultaneous equations in two variables (linear/linear or linear/quadratic)... Quiz: Pearson Edexcel Maths, Unit 2

The 20 questions

1. Simultaneous equations can be solved algebraically by

   • differentiation
   • drawing only
   • elimination or substitution
   • guessing and checking

2. Two simultaneous linear equations in two unknowns usually have

   • infinitely many solutions
   • one solution pair
   • two solution pairs
   • no solutions

3. The solution of x + y = 5 and x - y = 1 has x =

   • 6
   • 2
   • 4
   • 3

4. What does the graphical solution of two simultaneous equations represent?

   • Intersection point
   • Gradient point
   • Y-intercept
   • X-intercept

5. A linear and a quadratic equation together can have up to how many solutions?

   • none ever
   • three
   • two
   • one

6. What is the key action when solving simultaneous equations by substitution?

   • Multiply by zero
   • Replace a variable
   • Graph the lines
   • Add both equations

7. The solution of 2x + y = 7 and y = 3 has x =

   • 5
   • 2
   • 3
   • 4

8. The points where y = x and y = x^2 meet are

   • (1, 1) and (-1, -1)
   • (0, 0) only
   • (1, 0) and (0, 1)
   • (0, 0) and (1, 1)

9. The solution of x + 2y = 8 and x - y = -1 is

   • x = 4, y = 2
   • x = 2, y = 2
   • x = 3, y = 2
   • x = 2, y = 3

10. The solution of 3x + 2y = 17 and y = x + 1 is

    • x = 4, y = 3
    • x = 3, y = 5
    • x = 3, y = 4
    • x = 5, y = 2

11. The points where y = x + 2 and y = x^2 meet are

    • (4, 2) and (-1, 1)
    • (2, 4) and (1, -1)
    • (2, 4) and (-1, 1)
    • (-2, 0) and (1, 3)

12. The points where y = x + 1 and y = x^2 - 1 meet are

    • (2, 3) and (-1, 0)
    • (-2, -1) and (1, 2)
    • (2, 1) and (-1, -1)
    • (2, 3) and (1, 0)

13. Two numbers have sum 20 and difference 6. The larger number is

    • 7
    • 13
    • 26
    • 14

14. Two pens and three pencils cost £8.50. One pen and one pencil cost £3.50. A pen costs

    • £1.50
    • £3
    • £2
    • £2.50

15. The points where y = 2x and y = x^2 + x meet are

    • (0, 0) and (2, 1)
    • (1, 2) only
    • (0, 2) and (1, 0)
    • (0, 0) and (1, 2)

16. Using y = 2x + 3 and y = x^2, the positive x-value where they meet is

    • x = 3
    • x = -1
    • x = 1
    • x = 2

17. The solution of x/2 + y/3 = 4 and x + y = 10 is

    • x = 2, y = 8
    • x = 4, y = 4
    • x = 6, y = 4
    • x = 4, y = 6

18. The solution of 3x - 2y = 4 and 5x + 2y = 20 is

    • x = 3, y = 2.5
    • x = 2.5, y = 3
    • x = 3, y = 5
    • x = 4, y = 4

19. Substituting y = 2x into x^2 + y = 6 gives

    • 3x^2 - 6 = 0
    • x^2 + 2x - 6 = 0
    • x^2 - 2x - 6 = 0
    • x^2 + 2x + 6 = 0

20. The solution of 2x + 3y = 12 and x + y = 5 is

    • x = 3, y = 2
    • x = 3, y = 3
    • x = 4, y = 1
    • x = 2, y = 3

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