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Math Pacing

Solving Equations and Formulas. Math Pacing. Calculator!. Solving Equations and Formulas. Solving Equations and Formulas. Solving Equations and Formulas. Some equations such as the one on the previous slide contain more than one variable.

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Math Pacing

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  1. Solving Equations and Formulas Math Pacing Calculator!

  2. Solving Equations and Formulas Solving Equations and Formulas

  3. Solving Equations and Formulas Some equations such as the one on the previous slide contain more than one variable. At times, you will need to solve these equations for one of the variables. Solving Equations and Formulas

  4. Solve for b. Original equation Subtract 12c from each side. Simplify. Divide each side by 5. Solve and Equation for a Specific Variable Example 8-1a

  5. Simplify. or Answer: The value of b is . Solve and Equation for a Specific Variable Example 8-1b

  6. Do this one in your notes, please! Solve for y. Answer: The value of y is . Add 17y to both sides Subtract 13 from both sides Divide both sides by 17 Example 8-1c Solve and Equation for a Specific Variable

  7. Solving Equations and Formulas Many real-world problems require the use of formulas. Sometimes solving a formula for a specific variable will help you solve the problem. Solving Equations and Formulas

  8. Fuel Economy A car’s fuel economy E (miles pergallon) is given by the formula , where m isthe number of miles driven and g is the number ofgallons of fuel used. Solve the formula for m. Example 8-3a Use a Formula to Solve a Problem

  9. Formula for fuel economy. Multiply each side by g. Answer: Simplify. Use a Formula to Solve a Problem Example 8-3b

  10. Formula for how many miles driven E =30 mpg and g =9.5 gallons Multiply. Use a Formula to Solve a Problem Example 8-3c Fuel EconomyIf Claudia’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive? Answer: She drove 285 miles.

  11. Fuel EconomyA car’s fuel economy E (miles pergallon) is given by the formula , where m isthe number of miles driven and g is the number ofgallons of fuel used. Solve the formula for g. Answer: Do this one in your notes, please! Example 8-3d Use a Formula to Solve a Problem

  12. Use a Formula to Solve a Problem Example 8-3e If Claudia drove 1477 miles and her pickup has an average fuel consumption of 19 miles per gallon, how many gallons of fuel did she use? Fuel EconomyA car’s fuel economy E (miles pergallon) is given by the formula , where m isthe number of miles driven and g is the number ofgallons of fuel used. Answer: She used around 77.74 gallons.

  13. Geometry The formula for the volume of a cylinderis , where r is the radius of the cylinder and h is the height. Solve the formula for h. Original formula Divide each side by . Answer: Use Dimensional Analysis Example 8-4a

  14. Formula for h V =1810and r = 12 Use a calculator. Use Dimensional Analysis Example 8-4b GeometryWhat is the height of a cylindrical swimming pool that has a radius of 12 feet and a volume of 1810 cubic feet? Answer:The height of the cylindrical swimming pool is about 4 feet.

  15. Geometry The formula for the volume of a cylinderis , where r is the radius of the cylinder and h is the height. Answer: Example 8-4c Do this one in your notes, please! Use Dimensional Analysis Solve the formula for r.

  16. Example 8-4d Do this one in your notes, please! Use Dimensional Analysis What is the radius of a cylindrical swimming pool if the volume is 2010 cubic feet and a height of 6 feet? 2010 = 3.14 • r2 • 6 106.6 ≈r2 Answer: The radius is about 10.3 feet.

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