Solving 2 Step Equations

It is important to learn this you can apply it to more difficult equations!
left side
= 12right side
The solution is : y = 2
We also use INVERSE OPERATIONS.The inverse of multiplication is division. The inverse of division is multiplication. The inverse of subtraction is addition. The inverse of addition is subtraction. Example 1 The inverse 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 inverse of subtraction is addition, so we need to add 3 to
- 3 = 17s + 3 = + 3
Example 3 The inverse 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 inverse operations to
Use inverse operations to undo the constant before undoing the coefficient. Coefficient4x+9=21 ConstantExample 1 4x4x = 12 4 4 +x- 9 9==- 9 213solution divide both sides by 4 subtract 9 from both sides Ask yourself these questions as you solve each equation 1. Can you combine like terms on the LHS? 2. Can you combine like terms on the RHS? 3. What side of the equation is the variable on? 4. Is there a number being added or subtracted to THAT side? (get rid of it!! DO THE OPPOSITE 5. Is there a number next (attached) to the variable? (get rid of it!! DO THE OPPOSITE Example 2 2p - 3 = 272p = 302 p = 15+ 3 +3 2 add 3 to both sides solution divide both sides by 2 Your turn! 5y - 15 = 20Fill in the missing numbers. 5y = 35y =Solve these two step equations. 3y + 8 = 233y = 15y =Solve these two step equations. 4y - 1 = 154y = 16y =Solve these two step equations. 5y - 4 = 365y = 40y =Solve these two step equations. 6y + 7 = 376y = 30y =Solve these two step equations. 8y - 2 = 148y =y =Solve these two step equations. 4y + 3 = 514y =y =Solve these two step equations. 5y - 1 = 295y =y =Solve these two step equations. 3y + 14 = 233y =y =Solve these two step equations. 8y - 11 = 218y =y =Solve these two step equations. 7y - 9 = 54y ==Solve these two step equations. 4y + 1 = 33y ==Solve these two step equations. 2y - 13 = 1y ==Solve these two step equations. 3y - 8 = 22y ==Solve these two step equations. 8y - 29 = 3y ==Solve these two step equations. 9y - 4 = 41y ==Solve these two step equations. 2y + 7 = 17y ==Solve these two step equations. 4y - 8 = 32y ==Solve these two step equations. 5y + 3 = 18y ==Solve these two step equations. 7y + 9 = 44y ==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
FIRST, undo any addition or subtraction.What you do to one side of the equation, you must do to the other. SHOW your work on both sides! THEN, undo any multiplication.Use inverse operations to isolate the variable. |

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