Alg1 lesson 3-8
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This document contains examples of solving various equations for different variables. Example 1a solves for y in the equation 2x - 17y - 2x = 13 - 2x. Example 1b solves for w in the equation P - 2l = 2l + 2w - 2l. Example 1c solves the formula for fuel economy E = m/g for m, and uses it to solve a word problem about how far a car was driven given its fuel economy and gallons used. Example 2 solves the formula for the volume of a cylinder, V = πr^2h, for the height h.
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Alg1 lesson 3-8
- 1. Solve for b.Example 8-1a
- 2. Solve for y.2x – 17y – 2x = 13 – 2x– 17y= 13 – 2x– 17 – 17 y= 13 – 2x– 17Example 8-1c
- 3. Solve P = 2l + 2wfor w.P– 2l= 2l + 2w– 2lP – 2l= 2w 2 2w= P – 2l 2Example 8-1c
- 4. A car’s fuel economy Eis 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.If Claudia’s car has an average fuel economy of 30 miles per gallon and she used 9.5 gallons, how far did she drive?Answer: She drove 285 miles.Example 8-3a
- 5. 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.Example 8-4a