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## Solving Two-Step Equations

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**Solving Two-Step Equations**Day Two Ms. Turk, Algebra I Unit 2-2**(10) (10)**X + 2 = 40 - 2 - 2 x = 38 Multiply each side of the equation by 10. Subtract 2 from both sides of the equation. Simplify. Example 1 Hint: As your first step, multiply each side by the denominator of the fraction.**Example 2**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 + 3 + 3 x = 87**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 + 5 + 5 x = 21**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. Reciprocals Reciprocal is... Reciprocal is...**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? Reciprocals A number times its reciprocal equals 1.**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. Using Reciprocals to Solve Problems x = 12**Using Reciprocals to Solve Problems**Subtract 3. Mult. by reciprocal. SImplify x = -9**Using Reciprocals to Solve ProblemsNow you try!**Add 4. Mult. by reciprocal. SImplify x = 25**Classwork**Workbook page 22 9, 10, 11, 13 - 31 odd Show your work!