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Solving Decimal and Fraction Equations

Solving Decimal and Fraction Equations. #40. Remember!. Use inverse operations to get the variable alone on one side of the equation. INTRODUCTION to Solving Equations. You can solve equations with decimals using inverse operations just as you solved equations with whole numbers.

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Solving Decimal and Fraction Equations

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  1. Solving Decimal and Fraction Equations #40

  2. Remember! Use inverse operations to get the variable alone on one side of the equation. INTRODUCTION to Solving Equations You can solve equations with decimals using inverse operations just as you solved equations with whole numbers. $45.20 + m = $69.95 –$45.20 –$45.20 m = $24.75

  3. 1: Solving One-Step Equations with Decimals Solve the equation. Check your answer. k – 6.2 = 9.5

  4. Example 2: Solving One-Step Equations with Decimals Solve the equation. Check your answer. 6k = 7.2

  5. Example 3: Solving One-Step Equations with Decimals Solve the equation. Check your answer. m = 0.6 7

  6. Example 4: Measurement Application The area of Emily’s floor is 33.75 m2. If its length is 4.5 meters, what is its width?

  7. Example 5: Measurement Application If carpet costs $23 per square meter, what is the total cost to carpet the floor?

  8. 3 __ 5 Example 6: Solving Equations by Adding and Subtracting Solve each equation. Write the solution in simplest form. x + 5 = 14

  9. 2 1 __ __ 9 3 Example 7: Solving Equations by Adding and Subtracting Solve each equation. Write the solution in simplest form. 3 = x – 4

  10. 1 7 __ __ 6 12 Additional Example 8: Solving Equations by Adding and Subtracting Solve each equation. Write the solution in simplest form. 6 = m +

  11. 4 3 __ __ 5 10 Example 9: Solving Equations by Adding and Subtracting Solve each equation. Write the solution in simplest form. w – = 3

  12. 2 7 __ __ 5 10 Example 10 Solve each equation. Write the solution in simplest form. 5 = m +

  13. 1 __ 4 1 __ 2 Additional Example 11: Application Linda’s dog weighs 85 pounds. If Linda’s dog weighs 17 pounds less than Ian’s dog, how much does Ian’s dog weigh?

  14. 2 __ 3 1 __ 6 Example 12 Jimmy’s cat weighs 13 pounds. If Jimmy’s cat weighs 4 pounds less than Vicki’s cat, how much does Vicki’s cat weigh?

  15. Remember! Dividing by a number is the same as multiplying by its reciprocal. KEEP, CHANGE, FLIP

  16. Example 13: Solving Equations by Multiplying and Dividing Solve each equation. Write the answer in simplest form. 3 __ j= 25 5

  17. 2 __ 5 Example 14: Solving Equations by Multiplying and Dividing Solve each equation. Write the answer in simplest form. 7x =

  18. 5y __ 8 Additional Example 15: Solving Equations by Multiplying and Dividing Solve each equation. Write the answer in simplest form. = 6

  19. 6y __ 7 Check It Out: Example 16 Solve each equation. Write the answer in simplest form. = 4

  20. 2 __ 3 Example 17: Problem Solving Application Dexter makes of a recipe, and he uses 12 cups of powdered milk. How many cups of powdered milk are in the recipe?

  21. 2 __ 5 Example 18 Nick makes of a recipe, and he uses 8 cups of wheat flour. How many cups of wheat flour are in the recipe?

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