Page 41 - Spotlight A+ Form 4 & 5 Mathematics KSSM
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Answers




             1.         y                                   9.  a = –1  0
                                                             Shape
                                                                          2
                                                             f(x) = 0,   3x – x   = 0
                                                                     x(3 – x)  = 0
                                                                          x  = 0 or x = 3
                         (0, 9)                                  y

                                   x
                       O
                Answer: D
             2.  Answer: C                                      O           3    x
                              2
             3.         (x + 10)  + (x + 5)  = 25 2
                                     2
                2
                             2
                 x  + 20x + 100 + x  + 10x + 25 = 625
                          2x  + 30x – 500 = 0
                            2
                           x  + 15x – 250 = 0                Answer: A
                            2
                Answer: A                                  10.  y = a(x + 4)(x – 1)
                                                                  2
               2
             4.   x  + 3  = 4                                   = ax  + 3ax – 4a
                                                                     2
                                                             a = 1, y = x  + 3x – 4
                x
                                                                      2
              The power of x is –1.                          a = 2, y = 2x  + 6x – 8
                                                                      2
              Answer: C                                      a = 3, y = 3x  + 9x – 12
                                                               Answer: D
                           2
             5.  x = 4,   a(4)  + 14(4) – 8  = 0
                           16a + 56 – 8  = 0               11.                y
                                 16a  = –48
                                                               y = (x + 3)
                                                                                          2
                                                                      2
                                                                                   y = (x – 1)
                                   a  = –3
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              Answer: B
             6.   2x  – 13x + 15  = 0                                        1
                2
                 (2x – 3)(x – 5)  = 0                                                    x
                     2x – 3  = 0   or  x – 5 = 0                     –3     –1  O  1
                            3
                        x  =    or   x = 5                                  –2            2
                            2
                Answer: A                                                          y = (x – 1) – 2
             7.     (y + 3)   = 4
                        2
                 2
                 y  + 6y + 9  = 4                          12.  (a)       y
                 2
                 y  + 6y + 5  = 0
                 (y + 1)(y + 5)  = 0                                    16
                        y  = –1 or y  = –5                                     y = –x + 16
                                                                                    2
                Answer: B
             8.    x  + 8x + 16  = 0
                 2
                   (x + 4)   = 0                                         O           x
                        2
                        x  = –4 or x = –4 (same sign)                –4         4
                  x  + 7x + 6  = 0
                  2
               (x + 1)(x + 6)  = 0                           (b)                  y
                        x  = –1 or x = –6 (same sign)                 2
                  x  – 2x – 8  = 0                                 y = x + 5x
                  2
                (x + 2)(x – 4)  = 0
                        x  = –2 or x = 4 (different sign)
                 x  – 11x + 24  = 0                                                    x
                2
                 (x – 3)(x – 8)  = 0                                   –5       O
                        x  = 3 or x = 8 (same sign)
                Answer: C
             4
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