Alg2 sections 1.4-1.5

Rewrite Formulas and Equations

Section 1.4

Formulas

DistanceTemperatureArea of a triangleArea of a rectanglePerimeter of a rectangleArea of a trapezoidArea of a circleCircumference of a circle

Solving for a variable

5 𝑥+3 𝑦=8

Solving for a variable

Try these

Application

A college bookstore sells t-shirts for 15,000w each and sweatshirts for 22,000w each.

Write an equation for the bookstore’s revenue R from selling m t-shirts and n sweatshirts.

Solve the equation for m.If they sell 150 sweatshirts, how many t-

shirts and must they sell to have 6,660,000w in revenue?

Use Problem Solving Strategies and Models

Section 1.5

Strategies

FormulaA balloon is released from a height of 5

feet above the ground. Its altitude, in feet, after t minutes is given by the expression What is the altitude of the balloon after 6 minutes?

497 ft.

Strategies

FormulaThe driving distance between Daegu and

Seoul is about 295 km. If you drive this trip in a total of 3.5 hours, what is your average speed? Round to the nearest km.

84 km/hour

Strategies

PatternsThis table shows the height h of a

paramotorist t minutes after beginning a descent. Find the height after 7 minutes.

Time (min) t

0 1 2 3 4

Height (ft), h

2000 1750 1500 1250 1000

Strategies

DrawYou want to tape five posters on a wall so that

the spaces between posters are the same. You also want the spaces at the left and the right of the group of the posters to be three times the space between any two adjacent posters. The wall is 15 feet wide and the posters are 1.5 feet wide.

Draw a diagram and then write and solve an equation to find how to position the posters.

Homework

Pages 30-32#7-15 odd, 18-20 all, 21-25 odd, 29-31

odd, 35Pages 37-40#11-14 all, 25-33 odd