1. 01/05/11 Fraction and Decimal Equations Today’s Plan: -Fraction and Decimal Equations -Assignment Learning Target: -I can solve fraction and decimal equations Warm Up Solve. 1. x – 16 = 8 2. 7a = 35 3. 4. y + 21 = 31 x = 24 a = 5 x = 132 x 12 = 11 y = 10

2. 01/05/11 Fraction and Decimal Equations Today’s Plan: -Fraction and Decimal Equations -Assignment Learning Target: -I can solve fraction and decimal equations Correct Homework Pg 187 #1-6, 31-43

3. Solve. Write the answer in simplest form. Additional Example 1A: Solving Equations by Adding or Subtracting A. x – 3737 = 5757 x – 3737 = 5757 3737 + 3737 = 5757 + 3737 Add to isolate x. x= 8787 = 1 1717 Simplify. Course 2 4-12 Solving Equations Containing Fractions

4. Solve. Write the answer in simplest form. Try This: Example 1A A. x – 3838 = 7878 x – 3838 = 7878 3838 + 3838 = 7878 + 3838 Add to isolate x. x = 10 8 = 1 1414 Simplify. Course 2 4-12 Solving Equations Containing Fractions

5. Solve. Write the answer in simplest terms. Additional Example 2A: Solving Equations by Multiplying A. 3838 x = 1414 3838 x=. 8383 1414.8383 2 1 =x 2323 Multiply by the reciprocal of. 3838 Then simplify. 3838 = 1414 x = To undo multiplying by Remember! 3838, you can divide by 3838 or multiply by its reciprocal, 8383. Course 2 4-12 Solving Equations Containing Fractions

6. Additional Example 2B: Solving Equations by Multiplying B. 4x = 8989 8989 x=. 1414 8989. 1414 1 2 x = 2929 4x = 4 Multiply by the reciprocal of 4. Then simplify. Solve. Write the answer in simplest terms. Course 2 4-12 Solving Equations Containing Fractions

7. Solve. Write the answer in simplest terms. Try This: Example 2A A. 3434 x = 1212 3434 x=. 4343 1212.4343 2 1 =x 2323 Multiply by the reciprocal of. 3434 Then simplify. 3434 = 1212 x = Course 2 4-12 Solving Equations Containing Fractions

8. Try This: Example 2B B. 3x = 6767 6767 x=. 1313 6767. 1313 1 2 x = 2727 3x = 3 Multiply by the reciprocal of 3. Then simplify. Solve. Write the answer in simplest terms. Course 2 4-12 Solving Equations Containing Fractions

9. Solve. Additional Example 2A: Solving Equations by Multiplying and Dividing Course 2 4-6 Solving Equations Containing Decimals A. x 4.8 = 5.4 x 4.8 = 5.4 4.8 x =· 5.4 · 4.8Multiply to isolate x. x = 25.92

10. Solve. Additional Example 2B: Solving Equations by Multiplying and Dividing Course 2 4-6 Solving Equations Containing Decimals B. 9 = 3.6d 9 = 3.6d 9 3.6 9 2.5 = d = 3.6d 3.6 = d Divide to isolate d. Think: 9 ÷ 3.6 = 90 ÷ 36

11. Solve. Try This: Example 2A Course 2 4-6 Solving Equations Containing Decimals A. x 3.5 = 2.4 x 3.5 = 2.4 3.5 x =· 2.4 · 3.5Multiply to isolate x. x = 8.4

12. Solve. Try This: Example 2B Course 2 4-6 Solving Equations Containing Decimals B. 9 = 2.5d 9 = 2.5d 9 2.5 9 3.6 = d = 2.5d 2.5 = d Divide to isolate d. Think: 9 ÷ 2.5 = 90 ÷ 25

13. Solve. 1. x – 14.23 = 19.5 2. 12.6c = –103.32 3. 4. m + 12.97 =–14.35 5. The French Club is selling coupon books for $8.25 each. How many books must be sold to bring in $5,940? c = –8.2 x = 33.73 Insert Lesson Title Here x = 56.73 Course 2 4-6 Solving Equations Containing Decimals x 9.3 = 6.1 720 books m = –27.32

14. Lesson Quiz Solve. Write each answer in simplest form. 1. 2. 3. 4. 1 Insert Lesson Title Here x – 3838 = 5858 y + 7 16 = 19 32 x4x4 = 3737 3434 =x 1 1313 5. Over the course of a week, Marissa ate some apples from a basket on the table. She left 20 apples in the basket. This was five-eights the number of apples her mother had picked earlier in the week. How many apples did her mother pick? 32 Course 2 4-12 Solving Equations Containing Fractions 5 32 12 7 5757 or 1 16 9 7979 or 1