A22 solve linear inequalities in one or two variable(s), and quadratic inequalities in one... Quiz: Pearson Edexcel Maths, Unit 2

The 20 questions

1. Solving 2x > 6 gives

   • x > 3
   • x > 12
   • x < 3
   • x >= 4

2. On a number line inequality graph, what does an open circle represent?

   • included value
   • exact midpoint
   • infinite limit
   • excluded value

3. On a number line inequality graph, what does a filled circle represent?

   • upper bound only
   • excluded value
   • included value
   • lower bound only

4. In set notation, x greater than or equal to 2 is written

   • {x : x >= 2}
   • {x : x <= 2}
   • {x : 2 < x}
   • {x : x > 2}

5. What must you do when multiplying both sides of an inequality by a negative number?

   • square both sides
   • add one
   • keep sign
   • reverse sign

6. The solution of a linear inequality in one variable is usually

   • a range of values
   • no values
   • exactly two values
   • a single value

7. The solution of x^2 < 9 is

   • -3 < x < 3
   • x < 9
   • x < -3 or x > 3
   • x > 3

8. The solution of x^2 > 4 is

   • x < -2 or x > 2
   • -2 < x < 2
   • x > 2 only
   • x < 4

9. Solving 3x - 2 <= 10 gives

   • x <= 4
   • x <= 3.33
   • x < 4
   • x >= 4

10. Solving -2x > 8 gives

    • x < 4
    • x > -4
    • x < -4
    • x > 4

11. How many integers satisfy -1 < x <= 3?

    • 4
    • 3
    • 5
    • 2

12. Which point satisfies x + y <= 5?

    • (2, 2)
    • (3, 3)
    • (5, 1)
    • (4, 3)

13. The solution of x^2 - 5x + 6 > 0 is

    • x < 2 or x > 3
    • 2 < x < 3
    • x < 3 only
    • x > 2 only

14. The solution of (x - 1)(x + 4) <= 0 is

    • -4 <= x <= 1
    • x <= -4 or x >= 1
    • -1 <= x <= 4
    • x >= -4

15. Solving 4 - x > 2x - 5 gives

    • x < -3
    • x < 9
    • x > 3
    • x < 3

16. Five less than twice a number is at most 9. Which inequality models this?

    • 5 - 2x <= 9
    • 2(x - 5) < 9
    • 2x - 5 >= 9
    • 2x - 5 <= 9

17. Solving 2(x + 3) < 5x - 3 gives

    • x > 9
    • x > 3
    • x < -3
    • x < 3

18. The solution of x^2 + x - 12 >= 0 is

    • x <= 3 only
    • x >= -4 only
    • x <= -4 or x >= 3
    • -4 <= x <= 3

19. Which point satisfies both x + y >= 2 and y < x?

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

20. Solving 3 <= 2x - 1 < 9 gives

    • -2 <= x < 5
    • 2 <= x <= 5
    • 2 < x <= 5
    • 2 <= x < 5

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