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Grade C




          Changing the
            subject
Example 1
   a = 4b, Make b the subject of the formulae:

Lets see how we got the a. . . in a=4b
            Start with       Multiply by 4     We get
                 b                x4             a


Do the exact opposite to get b . . .
              We get           Divide by 4    Start with
                b                    4             a


                  So, b = a 8            or b = a
                                                8
Example 2
h= 8e + 2, Make e the subject of the formulae:

Lets see how we got the h. . . in h=8e + 2

  Start with        Multiply by 8            Add 2       We get
       e                 x8                   +2           h


Do the exact opposite to get e . . .
    We get            Divide by 8        Subtract 2     Start with
      e                    8                -2               h


           So      e=(h-2) 8 or              e= (h-2)
                                                  8
Example 3
b= 3d + 11, Make d the subject of the formulae:

Lets see how we got the b. . . in b=3d + 11
  Start with        Multiply by 3         Add 11           We get
       d                 x3                +11               b


Do the exact opposite to get d . . .
     We get           Divide by 3       Subtract 11       Start with
       d                   3               -11                 b


           So      d=(b-11) 3 or              d= (b-11)
                                                    3
Example 4
v= 7(c + 9), Make c the subject of the formulae:

Lets see how we got the v. . . in v=7(c + 9)

  Start with          Add 9            Multiply by 7       We get
       c               +9                   x7               v


Do the exact opposite to get c . . .
    We get            Subtract 9         Divide by 7      Start with
      c                  -9                   7                v

           So        c=(v 7) -9 or             c= v - 9
                              7
Change of Subject
Make the indicated variable given in brackets the subject of each
formula:

(1) a    b        2 (b )


(2)V     u        at (t )


(3) m       5(n     s ) (s )


(4) 3(a 2     b)      2k (a )

        Questions 1
Change of Subject - answers

(1) a     b         2 (b )        b       a    2

                                          V    u
(2)V      u         at (t )       t
                                           a
                                          m 5n                      m
(3) m         5(n     s ) (s )    s                         or s         n
                                              5                     5
                                              2k       3b           2k
(4) 3(a   2
                b)      2k (a )       a                      or a            b
                                                   3                 3

        Questions 1

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FCA GCSE changing the subject

  • 1. Grade C Changing the subject
  • 2. Example 1 a = 4b, Make b the subject of the formulae: Lets see how we got the a. . . in a=4b Start with Multiply by 4 We get b x4 a Do the exact opposite to get b . . . We get Divide by 4 Start with b 4 a So, b = a 8 or b = a 8
  • 3. Example 2 h= 8e + 2, Make e the subject of the formulae: Lets see how we got the h. . . in h=8e + 2 Start with Multiply by 8 Add 2 We get e x8 +2 h Do the exact opposite to get e . . . We get Divide by 8 Subtract 2 Start with e 8 -2 h So e=(h-2) 8 or e= (h-2) 8
  • 4. Example 3 b= 3d + 11, Make d the subject of the formulae: Lets see how we got the b. . . in b=3d + 11 Start with Multiply by 3 Add 11 We get d x3 +11 b Do the exact opposite to get d . . . We get Divide by 3 Subtract 11 Start with d 3 -11 b So d=(b-11) 3 or d= (b-11) 3
  • 5. Example 4 v= 7(c + 9), Make c the subject of the formulae: Lets see how we got the v. . . in v=7(c + 9) Start with Add 9 Multiply by 7 We get c +9 x7 v Do the exact opposite to get c . . . We get Subtract 9 Divide by 7 Start with c -9 7 v So c=(v 7) -9 or c= v - 9 7
  • 6. Change of Subject Make the indicated variable given in brackets the subject of each formula: (1) a b 2 (b ) (2)V u at (t ) (3) m 5(n s ) (s ) (4) 3(a 2 b) 2k (a ) Questions 1
  • 7. Change of Subject - answers (1) a b 2 (b ) b a 2 V u (2)V u at (t ) t a m 5n m (3) m 5(n s ) (s ) s or s n 5 5 2k 3b 2k (4) 3(a 2 b) 2k (a ) a or a b 3 3 Questions 1