1. Solving Multi-Step Equations

2. Find the Error
Sarah is trying to solve the equation -7/8x = 23 Here is her work: - 7/8x = 24 (7/8) -7/8x = 24 (7/8) x = 21 What important step did she forget?

3. To Solve: Undo the operations by working backward.
Ex: x + 9 = 6 5
Ask yourself:
What is the first thing we are doing to x?
The second thing?
Recall the order of operations as you answer these questions.
dividing by 5
adding 9
To undo these steps, do the opposite operations in opposite order.

4. Ex: x + 9 = 6 5 First subtract 9. x + 9 - 9 = 6 - 9 x = -3
Then multiply by 5.
(5) x = -3(5)
x = -15
! Check:
-15/5 + 9 = 6
-3 + 9= 6 its true

5. Let’s try another! 6 - 3x = 21 write the equation
6 + (-3x) = rewrite the left side as addition
subtraction property of equality
-3x = simplify
-3x = 15
division property of equality
x= simplify
Check: (-5)=21
6-(-15)=21
21=21 true

6. Try a few on your own. You must show all steps and check your work.
5z + 16 = 51
14n - 8 = 34
4b + 8 = 10 -2