Solving Two-Step Equations

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Presentation transcript:

Solving Two-Step Equations Day Two Ms. Turk, Algebra I Unit 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 - 2 - 2 x = 38

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 + 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

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...

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.

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

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

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

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