Literal Equations and Dimensional Analysis 2-8 Notes for Algebra 1 Literal Equations and Dimensional Analysis

Example 1 pg. 126 Solve for a Specific Variable 1.) 5𝑏+12𝑐=9 for b.

Example 1 pg. 126 Solve for a Specific Variable 1.) 5𝑏+12𝑐=9 for b. b= 9−12𝑐 5

Example 2 pg. 127 Solve for a Specific Variable 2.) 7𝑥−2𝑧=4−𝑥𝑦 for x

Example 2 pg. 127 Solve for a Specific Variable 2.) 7𝑥−2𝑧=4−𝑥𝑦 for x 𝑥= 4+2𝑧 7+𝑦

Example 3 pg. 127 Real World Example FUEL ECONOMY A car’s fuel economy E (miles per gallon) is given by the formula 𝐸= 𝑚 𝑔 , where m is the number of miles driven and g is the number of gallons of fuel used. 1.) Solve the formula for m. 2.) If Quanah’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive?

Example 3 pg. 127 Real World Example FUEL ECONOMY A car’s fuel economy E (miles per gallon) is given by the formula 𝐸= 𝑚 𝑔 , where m is the number of miles driven and g is the number of gallons of fuel used. 1.) Solve the formula for m. 𝑚=𝐸𝑔 2.) If Quanah’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive? 285 mi.

Dimensional analysis/Unit analysis A process of carrying units throughout a computation.

Example 4 pg. 128 Use Dimensional Analysis 1.) CHIMPANZEES The average weight of the chimpanzees at a zoo is 52 kilograms. If 1 gram ≈ 0.0353 ounces, use dimensional analysis to find the average weight of the chimpanzees in pounds. (Hint: 1 𝑙𝑏=16 𝑜𝑧.)

Example 4 pg. 128 Use Dimensional Analysis 1.) CHIMPANZEES The average weight of the chimpanzees at a zoo is 52 kilograms. If 1 gram ≈ 0.0353 ounces, use dimensional analysis to find the average weight of the chimpanzees in pounds. 115 lb. (Hint: 1 𝑙𝑏=16 𝑜𝑧.) 52 𝑘𝑔× 1000 𝑔 1 𝑘𝑔 × 0.0353 𝑜𝑧 1 𝑔 × 1 𝑙𝑏 16 𝑜𝑧

2-8 pg. 129 9-19o, 20-34, 42-60(x3)