Equations - Opposite Operations

It is important to learn this you can apply it to more difficult equations!
left hand side
= 12right hand side The opposite of multiplication is division. The opposite of division is multiplication. The opposite of subtraction is addition. The opposite of addition is subtraction. We also use OPPOSITE OPERATIONSto get the pro-numeral by itself.Example 1 The opposite of addition is subtraction, so we need to We need to UNDO the 9, which is added to + 9 = 12p p- 9 = - 9 3
Example 2 We need to UNDO the 3, which is subtracted from The opposite of subtraction is addition, so we need to add 3 to
- 3 = 17s + 3 = + 3
Example 3 The opposite of multiplication is division, so we need to divide We need to UNDO the 5, which is multiplied by ÷ = 35 5x
5 = ÷ 5
However, it is important to remember to use opposite operations to
(Remove the seperate value first) Example 1 4x ÷4 ÷4 4x = 12+x- 9 9==- 9 213solution divide both sides by 4 subtract 9 from both sides Example 2 2p - 3 = 272p = 30÷2 p = 15+ 3 +3 ÷2 add 3 to both sides solution divide both sides by 2 What is the first step in solving this equation? 6a - 3 = 21add 6 add 3 subtract 6 subtract 3 Identify the next step in solving this equation.4 b + 8 = 564b + 0 = 484b = 48- 8 add 4 to both sides multiply both sides by 4 divide both sides by 4 subtract 4 from both sides -8 Your turn! 5y - 15 = 20Fill in the missing numbers. ÷ 5y = 35y =÷ Solve. 3y + 8 = 23÷ 3y = 15y =÷ Solve. 6y + 7 = 37÷ 6y = 30y =÷ Solve. 8y - 2 = 14÷ 8y =y =÷ Solve. 4y + 3 = 51÷ 4y =y =÷ Solve. 7y - 9 = 54÷ y ==÷ Solve. 4y + 1 = 33÷ y ==÷ |

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