WISKUNDE
NOG OEFENINGE

MATHEMATICS
MORE EXERCISES

A

Los onderstaande vergelykings op deur faktore te gebruik :                 Solve the following equations by using factors :

1.  x 2 + 4x + 3 = 0                                          [ 1 ]

3.  y 2 - 3y + 2 = 0                                           [ 3 ]

5.  a 2 + a - 2 = 0                                             [ 5 ]

7.  3p 2 - 3p - 4 = 0                                         [ 7 ]

9.  x 2 - 4x - 21 = 0                                          [ 9 ]

11.  3y 2 - 11y + 10 = 0                                  [ 11 ]

13.  15z 2 + 3z - 6 = 0                                    [ 13 ]

15.  35b 2 - 22b - 24 = 0                                [ 15 ]

17.  −p 2 - 2p + 5 = 0                                      [ 17 ]

2.  x 2 + 7x + 10 = 0                                   [ 2 ]

4.  y 2 - 10y + 21 = 0                                 [ 4 ]

6.  b 2 - b - 6 = 0                                        [ 6 ]

8.  q 2 + 2q - 15 = 0                                  [ 8 ]

10.  2x 2 + 3x + 1 = 0                               [ 10 ]

12.  6z 2 + 13z + 6 = 0                             [ 12 ]

14.  6a 2 - 7a - 20 = 0                               [ 14 ]

16.  −y 2 + 3y - 2 = 0                                 [ 16 ]

18.  -3y 2 + 11y - 10 = 0                           [ 18 ]

B

Los die volgende vergelykings op deur die formule                        Solve the following equations by using the formula
formule te gebruik en gee jou antwoord korrek                                 and give your answer correct to two decimals
tot 2 desimale :                                                                                    where necessary :

19.  x 2 + x ─ 3 = 0                                         [ 19 ]

21.  z 2 + 4z + 1 = 0                                       [ 21 ]

23.  b 2 + 7b ─ 4 = 0                                      [ 23 ]

25.  3b 2  ─ 4b ─ 5 = 0                                   [ 25 ]

27.  5x 2  ─ 3x ─ 2 = 0                                    [ 27 ]

29.  −3z 2  ─ 4z = ─ 9                                     [ 29 ]

20.  y 2  ─ y ─ 5 = 0                                    [ 20 ]

22.  a 2  ─ 5a + 2 = 0                                  [ 22 ]

24.  2a 2  ─ a + 1 = 0                                  [ 24 ]

26.  4p 2  ─ p ─ 7 = 0                                 [ 26 ]

28.  ─ 2y 2 + 8y = 7                                     [ 28 ]

30.  ─ 4a 2 + 1 = 3a                                     [ 30 ]

C

Los die volgende vergelykings op deur die vierkant                        Solve the following equations by completing the square
te voltooi en gee jou antwoord korrek tot 2 desimale,                     and give your answer correct to two decimals
indien nodig :                                                                                       where necessary :

31.  q 2  ─ 2q ─ 3 = 0                                     [ 31 ]

33.  y 2  ─ 2y ─ 8 = 0                                      [ 33 ]

35.  2a 2  ─ 3a + 4 = 0                                    [ 35 ]

37.  ─ p 2  ─ 3p + 7 = 0                                  [ 37 ]

39.  ─ 3x 2 + 4x = 7                                         [ 39 ]

32.  x 2 + 3x ─ 4 = 0                                    [ 32 ]

34.  3z 2 + z ─ 2 = 0                                    [ 34 ]

36.  5b 2 + b + 6 = 0                                   [ 36 ]

38.  ─ 2q 2 + 5q ─ 6  =  0                           [ 38 ]

40.  ─ x 2 + 2x + 8 = 0                                 [ 40 ]