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 = a = y + 21 = 31 x = 24 a = 5 x = 132 x 12 = 11 y = 10

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

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

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

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

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

Solve. Write the answer in simplest terms. Try This: Example 2A A x = x= =x 2323 Multiply by the reciprocal of Then simplify = 1212 x = Course Solving Equations Containing Fractions

Try This: Example 2B B. 3x = x= x = x = 3 Multiply by the reciprocal of 3. Then simplify. Solve. Write the answer in simplest terms. Course Solving Equations Containing Fractions

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

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

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

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

Solve. 1. x – = c = – m =– 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 = Insert Lesson Title Here x = Course Solving Equations Containing Decimals x 9.3 = books m = –27.32

Lesson Quiz Solve. Write each answer in simplest form Insert Lesson Title Here x – 3838 = 5858 y = x4x4 = =x 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 Solving Equations Containing Fractions or or 1