1. Solving Two-Step Equations
Day Two
Ms. Turk, Algebra I
Unit 2-2

2. Example 1 x = 38 Multiply each side of the equation by 10.
Hint: As your first step, multiply each side
by the denominator of the fraction.
Multiply each side of the equation by 10.
Subtract 2 from both sides of the equation.
Simplify.
(10) (10)
X + 2 = 40
x = 38

3. Example 2 x = 87 Multiply each side of the equation by 7.
Hint: As your first step, multiply each side
by the denominator of the fraction.
Multiply each side of the equation by 7.
Add 3 to both sides of the equation.
Simplify.
(7) (7)
X - 3 = 84
x = 87

4. Example 3 Try one on your own!
Hint: As your first step, multiply each side
by the denominator of the fraction.
Multiply each side of the equation by 8.
Add 5 to both sides of the equation.
Simplify.
(8) (8)
x - 5 = 16
x = 21

5. Reciprocals How do I find the reciprocal of a number?
Here are some examples. Write them down!
If it’s a fraction, flip it. If it’s an integer, put 1 over that integer.
Reciprocal is...
Reciprocal is...

6. Reciprocals A number times its reciprocal equals 1.
What happens when you multiply a number by its reciprocal?
Another example… Let’s multiply 8 by its reciprocal. How do you write 8 as a fraction?
A number times its
reciprocal equals 1.

7. Using Reciprocals to Solve Problems
Add 2 to both sides.
Multiply both sides by the reciprocal of the coefficient.
1x is the same as x, and the fraction reduces to 12.
x = 12

8. Using Reciprocals to Solve Problems
Subtract 3.
Mult. by reciprocal.
SImplify
x = -9

9. Using Reciprocals to Solve Problems Now you try!
Add 4.
Mult. by reciprocal.
SImplify
x = 25

10. Workbook page 22 9, 10, 11, 13 - 31 odd Show your work!
Classwork
Workbook page 22 9, 10, 11, odd
Show your work!