Equations - Opposite Operations
 It is important to learn this process, so thatyou can apply it to more difficult equations!Solving Two-Step Equations left hand sideEvery equation has 2 sides, separated by the = sign.4 + x =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  1The opposite of addition is subtraction, so we needto subtract 9 from both sides of the equation.We need to UNDO the 9, which is added to p.p  +  9  =  12p-9=- 93You must showthe steps of solving yourequations in this manner! Example  2We need to UNDO the 3, which is subtracted from s.The opposite of subtraction is addition, so we needto add 3 to both sides of the equation.ss  -  3  =  17+3=+ 320You must showthe steps of solving yourequations! Example  3The opposite of multiplication is division, so we needto divide both sides of the equation by 5.We need to UNDO the 5, which is multiplied by x.÷ 5x    =     35x5=÷  57You must showthe steps of solving yourequations! We use this same process when more thanone number is on the same side of the equation as the variable.However, it is important to remember to use opposite operations to undo ADDITION or SUBTRACTION BEFOREundoing MULTIPLICATION or DIVISION.  (Remove the seperate value first) Example 14x ÷4          ÷44x      =  12+x-   99==- 9213solutiondivide both sides by 4subtract 9 from both sides Example 22p  -  3  =  272p         =   30÷2p      =  15+ 3+3 ÷2add 3 to both sidessolutiondivide both sides by 2 What is the first step in solving this equation?6a   -  3   =  21 add 6 add 3 subtract 6 subtract 3 Identify the next step in solving this equation.4b  +  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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