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2-8 Literal Equations and Dimensional Analysis A Review Essential Question: Why is it import to be able to express equations in several ways? Answer????? Activities for the day: Warm-up Review Percent of Change Powerpoint for Literal equations and dimensional analysis Discuss test Classwork/homework Find three consecutive integers whose sum is 48. Find two consecutive even integers who sum is 66. Any questions on your homework? Review Name:_______________ Find three consecutive even integers such that the sum of the smallest and largest is 36. The width of a rectangle is 12 cm less than the length. The perimeter is 156 cm. Find the width and the length. The perimeter of a triangle is 76 cm. Side a of the triangle is twice as long as side b. Side c is 1 cm longer than side a. Find the length of each side. In an isosceles, that is a triangle with two sides of equal length. The third side is 30 m shorter than twice the length of each congruent side. The perimeter is 570m. Find the length of each side. A Review State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole number. Original :84 New: 96 State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole number. Original :47 New:18 What is the discounted price of a tent with a price of $89 and a discount of 15%? What is the final price of a pair of hiking boots with a price of $78, a discount of 10%, and a tax of 6%? A Review On July 1, a stock sold for $46 per share, and on August 1, it sold for $48.30 per share. What was the percent of change in the price of the stock? Olivia’s cell phone bill last month was $125. the month her bill is $85. what is the percent of change? Objective of today’s lesson: • Solve equation for given variables • Use formulas to solve real-world problems New vocabulary: • Literal equation • Dimensional analysis • Unit analysis Solve for a specific variable 5b + 12c = 9 Solve for b 7x – 2z = 4 – xy Solve for x 2x – 17y = 13 Solve for y • Note division by 0 is undefined, therefore y ≠___________ More examples 12a + 3c = 2ab + 6 Solve for a A car’s ful economy E (miles per 𝑚 gallon is given by the formula E = 𝑔 Where m is the number of miles driven and g is the number of gallons of fuel used. Solve the formula for m. If Quananh’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive? Real-World Problems A car’s fuel economy E (miles per gallon) is 𝑚 given by the formula E = , where m is the 𝑔 number of miles driven and g is the number of gallons of fuel used. Solve the formula for g. The average weight of the chimpanzees at a zoo is 52 kilograms. If 1 gram is about .0353 ounce, use dimensional analysis to find the average weight of a chimpanzee in poiunds. (Hint: 1 lb = 16 oz) If Quanan drove 1477 miles and her pickup has an average fuel consumption of 119 miles per gallon, about how many gallons of fuel did she use? Janet is walking 20 laps of a track in a relay to raise money for cancer research. If each lap is 350 meters, how many miles will Janet walk? (Hint: 1 meter is about 1.094 yards and 1 mile + 1760 yards)