Algebraic Equations

16 October 2019

WALT: Solve algebraic equations

SC: To be successful I must…

• Rewrite the equation in a linear form.
• Solve the equation from back to front using the inverse.
• Substitute the value of the variable to the original equation and check the answer.

     -5

5n +5 = 45 - 5

5n = 40

5       5

n = 8

      +3

y/6 - 3 = -11 + 3

y/6 = -8

y/6 x 6 = -8 x 6

y = -48

4(g - 1) = 24/4

4

g - 1 = 6

   +1

g - 1 = 6 + 1

g = 7

V + 9 = 0 x 15

15 x 15

     -9

V + 9 = 0 - 9

v = -9

                      - 8

-40 - 8 = 12x + 8

-48÷12 = 12x

                12

-4 = x

      +3

-2p - 3 = -19 + 3

-2p = -16

-2       -2

p = 8

13 x 2 = w - 14

                  2    x 2

                    +14

26 + 14 = w - 14

40 = w 

         -1 

36 -1 = 1 + 7a

35 = 7a

7       7

5 = a

               +11

-9 + 11 = -11 + b/8

2 = b/8 

2 x 8 = b/8 x 8

16 = b