= 3 + 4 + 4 7 = 7 Be careful: 1 + 2 x 4 = 3 x 4 Is NOT TRUE = 3 - 4

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An equation remains true when both sides are operated on in the same way: 1 + 2 = 3 + 4 + 4 7 = 7 Be careful: 1 + 2 x 4 = 3 x 4 Is NOT TRUE 1 + 2 = 3 - 4 - 4 -1 = -1 ( 1 + 2 ) = 3 x 4 x 4 12 = 12 But: 1 x 4 + 2 x 4 = 3 x 4 Is TRUE ( 1 + 2 ) = 3 4 4 0.75 = 0.75 Designed by Lukas van Veen

n + 3 = 7 4 Guess n + 3 = 7 + 3 n + 3 = 7 - 3 - 3 n + 0 = 4 n = 4 Find n in the following equation : n + 3 = 7 4 Guess How do I find the answer using algebra? n + 3 = 7 + 3 I want an answer in the form n = …. n + 3 = 7 - 3 - 3 I must remove +3 n + 0 = 4 n = 4

There is a quicker way to solve the same equation : 1 + 2 = 3 - 2 Move + 2 to the other side and change its sign n + 3 = 7 - 3 Move + 3 to the other side and change its sign n = 4 Designed by Lukas van Veen

Solve the following equations : Move – 0.75 to the other side and change its sign m - 0.75 = 0.875 + 0.75 m = 1.625 Move – 4.7 to the other side and change its sign - 4.7 – h = 7.8 + 4.7 – h = 12.5 Beware: I want h, NOT -h – h = 12.5 - Change ALL signs Designed by Lukas van Veen

4 n = 12 4 4 n = 3 x 3 x 3 Solve the equation 4n = 12 Remove 4 by dividing both sides by 4 4 n = 12 4 4 n = 3 Solve the equation Remove 3 by multiplying both sides by 3 x 3 x 3 Designed by Lukas van Veen

Solve the equation 2n + 5 = 11 Move 5 to the other side and change its sign Remove 2 by dividing both sides by 2 2 n + 5 = 11 - 5 2 n = 6 2 2 Solve the equation n = 3 - 4 - 3 - 3 m = 5 Designed by Lukas van Veen