Designing exercise and solution for Basic Algebra. [M1]

EXERCISE l

 

   a) The formula v=u+ at is used in the study of motion. Work out V when:

   i)u=3, a=7, t=5                                    ii)u=1, a=6, t=3

     v=3+(7x5)                                             v=1+(6x3)

     v=3+35                                                  v=1+18

     v=38                                                      v=19

b) Another formula is S=ut+1/2 at². Work out S when:

   i)u=7, a=4, and t=5                                      ii)u=5.5, a=-2, and t=20

      S=(7x4) + ( ½  x4x5²)                                   S= (5.5x-2) + ( ½ x-2x20²)

     S=28 + 50                                                      S= 101 – 400

     S= 78                                                             S=-299

c) If a=30, b=-3 and c=8. Work out:

   i)                abc                                ii)   ab-c                             iii)   a(b-c) 

              30 x -3 x 8                        (30x-3)-8                            30(-3x8)

=-90 x 8                            =-90-8                                 30x(-24)

              =-720                                =-98                                   =-720

EXERCISE ll:

i)5m + 4n + n + 10m         ii) a x a + c x c       iii) a + 6b + a²- 5a + 2b + 2a²
5m + 10m + 4n + n              (a x a) + (c x c)           a - 5a + 6b + 2b + a² + 2a
= 15m + 4n                         =a² + c²                    = -4a + 8b + 3 a²