A Review Essential Question Why is it import to be able to express equations in several ways Answer Activities for the day Warmup Review Percent of Change Powerpoint for Literal equations and dimensional analysis ID: 674685
Download Presentation The PPT/PDF document "2-8 Literal Equations and Dimensional An..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
2-8 Literal Equations and Dimensional Analysis Slide2
A Review
Essential
Question: Why is it import to be able to express equations in several ways?
Answer?????
Activities for the day:Warm-upReview Percent of ChangePowerpoint for Literal equations and dimensional analysisDiscuss testClasswork/homeworkFind three consecutive integers whose sum is 48.Find two consecutive even integers who sum is 66.Slide3
Any questions on your homework?Slide4
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.Slide5
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: 96State 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 :47New:18What 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%?Slide6
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 variablesUse formulas to solve real-world problemsNew vocabulary:Literal equationDimensional analysisUnit analysisSlide7
Solve for a specific variable
5b + 12c = 9 Solve for b
2x – 17y = 13 Solve
for y
7x – 2z = 4 – xy Solve for xNote division by 0 is undefined, therefore y ≠___________Slide8
More examples
12a + 3c = 2ab + 6
Solve for a
A car’s
ful economy E (miles per gallon is given by the formula E = 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?
12a + 3c = 2ab + 6 Solve for aWhere 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?Slide9
Real-World Problems
A car’s fuel economy E (miles per gallon) is given by the formula E =
, where m is the number of miles driven
and g is the number of gallons of fuel used. Solve the formula for g.
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?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)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)
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?
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
)
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)Slide10