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
To islolate the variable, we use what we know about the We know that x - 0 = xWe know that We know that 1.x = xWe know that x+ 0 = xx1=x •
changing the solution. •
changing the solution. • The
the solution. • The of the equation without changing the solution. We also use the Think of these properties as the Golden Rule:
We also use INVERSE OPERATIONS.The inverse of addition is subtraction. The inverse of subtraction is addition. The inverse of multiplication is division. The inverse of division is multiplication. Example 1 The inverse of addition is subtraction, so we need to We need to UNDO the 9, which is added to Inverse and Equality We want to isolate the variable .pIdentity + 9 = 12p p + 0 = 3 p- 9 = - 9 3
Example 2 We need to UNDO the 3, which is subtracted from We want to isolate the variable .sInverse and Equality The inverse of subtraction is addition, so we need to add 3 to Identity
s - 0 = 20 - 3 = 17s + 3 = + 3
Example 3 We need to UNDO the 5, which is multiplied by We want to isolate the variable .xInverse and Equality The inverse of multiplication is division, so we need to divide Identity ÷ 1 = 7x = 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 44x + 0 = 12x 4 4 +4x = 12- 9 1x9x== =- 9 2133subtract 9 from both sides divide both sides by 4 solution Example 2 2p - 3 = 272 p - 0 = 302 2p = 301 p = 15+ 3 p = 15+3 2 add 3 to both sides divide both sides by 2 solution Your turn! 5y - 15 = 205y - 0 = + Fill in the missing numbers. 5y = 35 1 yy = = + 35 Fill in the missing operations and numbers. 9c + 3 = 399 c + 0 = 9 c =1 c3 c == 3 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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