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Lesson 8 MI/Vocab

Solve equations for given variables. Use formulas to solve real-world problems. dimensional analysis. Lesson 8 MI/Vocab. Solve an Equation for a Specific Variable. Solve 5 b + 12 c = 9 for b. 5 b + 12 c = 9 Original equation

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Lesson 8 MI/Vocab

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  1. Solve equations for given variables. • Use formulas to solve real-world problems. • dimensional analysis Lesson 8 MI/Vocab

  2. Solve an Equation for a Specific Variable Solve 5b + 12c = 9 for b. 5b + 12c = 9 Original equation 5b + 12c – 12c = 9 – 12c Subtract 12c from each side. 5b = 9 – 12c Simplify. Divide each side by 5. Simplify. Lesson 8 Ex1

  3. Solve an Equation for a Specific Variable Lesson 8 Ex1

  4. A. B. C. D.2x + 4 Solve 2x – 17y = 13 for y. • A • B • C • D Lesson 8 CYP1

  5. Solve an Equation for a Specific Variable Solve 7x – 2z = 4 – xy for x. 7x – 2z = 4 – xy Original equation 7x – 2z+ xy = 4 – xy + xy Add xy to each side. 7x – 2z + xy = 4 Simplify. 7x – 2z + xy+2z = 4 + 2z Add 2z to each side. 7x + xy = 4 + 2z Simplify. x(7 + y) = 4 + 2z Use the Distributive Property. Divide each side by 7 + y. Lesson 8 Ex2

  6. Solve an Equation for a Specific Variable Lesson 8 Ex2

  7. A. B. C. D. Solve 12a + 3c = 2ab + 6 for a. • A • B • C • D Lesson 8 CYP2

  8. A. FUEL ECONOMYA car’s fuel economy E (milesper gallon) is given by the formula , where mis the number of miles driven and g is the number of gallons of fuel used. Solve the formula for m. Formula for fuel economy Multiply each side by g. Answer:Eg = m Simplify. Lesson 8 Ex3

  9. B.FUEL ECONOMY If Claudia’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive? Eg = m Formula for how many miles driven 30(9.5) = mE = 30 mpg and g = 9.5 gallons 285 = m Multiply. Answer: She drove 285 miles. Lesson 8 Ex3

  10. A. FUEL ECONOMYA car’s fuel economy E (milesper gallon) is given by the formula , where mis the number of miles driven and g is the number of gallons of fuel used. Solve the formula for g. A.g = mE B. m = gE C.D. • A • B • C • D Lesson 8 CYP3

  11. B.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? • A • B • C • D A. 19 gallons B. 1477 gallons C. 77.74 gallons D. 80 gallons Lesson 8 CYP3

  12. A. GEOMETRYThe formula for the volume of a cylinder is V = πr2h, where r is the radius of the cylinder and h is the height. Solve the formula for h. Formula for volume of a cylinder Divide each side by πr2. Lesson 8 Ex4

  13. B. GEOMETRYWhat is the height of a cylindrical swimming pool that has a radius of 12 feet and a volume of 1810 cubic feet? Formula for h V = 1810 and r = 12 Use a calculator. Answer: The height of the cylindrical swimming pool is about 4 feet. Lesson 8 Ex4

  14. A. B. C. D.V = πr2v A. GEOMETRY The formula for the volume of a cylinder is V = πr2h, where r is the radius of the cylinder and h is the height. Solve the formula for r. • A • B • C • D Lesson 8 CYP4

  15. B. What is the radius of a cylindrical swimming pool if the volume is 2010 cubic feet and the height is 6 feet? • A • B • C • D A. 6 feet B. 2010 feet C. 20 feet D. 10 feet Lesson 8 CYP4

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