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Chapter 2 Section 4: Formulas

Chapter 2 Section 4: Formulas. In this section, we will… Use formulas to solve word problems Solve a formula for a given variable. We will use the following formulas from business: We will use the following formulas from science:. simple interest formula.

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Chapter 2 Section 4: Formulas

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  1. Chapter 2 Section 4: Formulas • In this section, we will… • Use formulas to • solve word problems • Solve a formula • for a given variable

  2. We will use the following formulas from business: We will use the following formulas from science: simple interest formula Don’t forget to change your percent to a decimal before using it in a formula! Where C and F are the temperature in degrees Celsius and Fahrenheit respectively. 2.4 Use Formulas to Solve Word Problems

  3. Example: Find the markup on a CD player whose wholesale cost is $219 and whose retail price is $395. Example: After expenses of $55.15 were paid, a Rotary Club donated $875.85 in proceeds from a pancake breakfast to a local health clinic. How much did the breakfast gross? 2.4 Use Formulas to Solve Word Problems

  4. Example: Cryobiologists freeze living matter to preserve it for future use. They can work with temperatures as low as Change this to degrees Fahrenheit. 2.4 Use Formulas to Solve Word Problems

  5. Example: Three years after opening an account that paid 6.45% annually, a depositor withdrew the $3,483 in interest earned. How much money was left in the account? 2.4 Use Formulas to Solve Word Problems

  6. Example: Rose Parade floats travel down the 5.5 mile-long parade route at a rate of 2.5 miles per hour. How long will it take a float to complete the parade if there are no delays? 2.4 Use Formulas to Solve Word Problems

  7. Geometry Formulas to Know Rectangle Perimeter = sum of all sides or Rectangular Box 2.4 Use Formulas to Solve Word Problems

  8. Geometry Formulas to Know Triangle Perimeter = sum of all sides Parallelogram Perimeter = sum of all sides For these formulas: The height meets the base-side at a 90-degree angle 2.4 Use Formulas to Solve Word Problems

  9. Geometry Formulas to Know Trapezoid Perimeter = sum of all sides Circle *To minimize rounding-errors we will use the button on our TI 2.4 Use Formulas to Solve Word Problems

  10. Geometry Formulas to Know base Pyramid Cone 2.4 Use Formulas to Solve Word Problems

  11. Geometry Formulas to Know Sphere Cylinder 2.4 Use Formulas to Solve Word Problems

  12. Example:For each of the following scenarios, indicate which geometric concept (perimeter, circumference, area or volume) should be used and which unit of measurement would be appropriate. • The amount of storage in a freezer • The distance around the outside of a building lot • The amount of land making up the Sahara Desert • How far a bike tire rolls in one revolution 2.4 Use Formulas to Solve Word Problems

  13. Example:A horse trots in a perfect circle around its trainer at the end of a 28 foot-long rope. How far does the horse travel as it circles the trainer once? (Round your answer to the nearest tenth.) Example:Find the perimeter and area of the truss below: perimeter: area: 6 ft 10 ft 10 ft 16 ft 2.4 Use Formulas to Solve Word Problems

  14. Example:Find the amount of space in the hamster tube below. Round your answer to the nearest tenth. Example:Find the exact area of the square road sign below: 12 in 2.75 feet 3 in 2.4 Use Formulas to Solve Word Problems

  15. Example: Find the volume of a spherical-shaped pumpkin that has a diameter of 9 inches. Round your answer to the nearest hundredth. 2.4 Use Formulas to Solve Word Problems

  16. Solving Linear Equations in One Variable: • If the equation contains fractions, multiply both sides by the magic number (LCM of the denominators) to clear fractions • Use the Distributive Property to remove the parentheses (then combine the like-terms on each side of the equation) • Use the Addition and Subtraction Properties to get all of the variables on one side of the equation together (and all of the numbers on the other side of the equation) • Use the Multiplication and Division Properties to make the coefficient of the variable equal to 1 • Remember that solving an equation means that we • isolate the variable we are solving for! { Isolate the variable by “undoing” the operations: 2.4 Solve a Formula for a Given Variable

  17. Example: Solve each formula for the given variable. 2.4 Solve a Formula for a Given Variable

  18. Example: Solve each formula for the given variable. 2.4 Solve a Formula for a Given Variable

  19. Example: Solve each formula for the given variable. We will need to have this skill for chapters 3 and 7. 2.4 Solve a Formula for a Given Variable

  20. Independent Practice You learn math by doing math. The best way to learn math is to practice, practice, practice. The assigned homework examples provide you with an opportunity to practice. Be sure to complete every assigned problem (or more if you need additional practice). Check your answers to the odd-numbered problems in the back of the text to see whether you have correctly solved each problem; rework all problems that are incorrect. Read pp.149-157 Homework: pp.157-162 #1, 2, 3, 5, 8, 11, 15-23 odds, 27, 31, 33, 37-51 odds, 65, 67, 69, 73, 75, 79, 83, 85, 91, 95(hint: it’s a half-sphere), 103, 105 2.4 Formulas

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