1. SWBAT… apply equations to word problems Agenda 1. Warm-up (20 min) 2. 4 application problems (25 min) 3. Exit slip (5 min) Warm-Up: 1.) -15y + 2 = -9 – 10y + 6y 2.) -(5x + 1) = 4x – 10 3.) Mon, 9/24 To remove the fraction, multiply each term by the Least common denominator

2. a.) Set up and solve an equation to find the value of x so that the two rectangles have the same area. 12(x) = 16(x – 2) 12x = 16x – 32 -4x = -32 x = 8 x – 2 ft 16 ft x ft 12 ft

3. Applications of Linear Equations Selecting a Rental Car Hertz Car rental agency charges $4 a day plus $0.15 per mile, whereas Avis rental agency charges $20 a day and $0.05 per mile. For how many miles of driving in a day will the costs for the two rentals be the same? m = number of miles driven 4 + 0.15m = 20 + 0.05m The costs for the two rentals will be the same with 160 miles of driving.

4. Selecting a Wireless Phone Company Verizon Wireless charges $40 a month plus $0.10 per minute, whereas AT&T charges $80 a month plus $0.05 per minute. For how many minutes of talking in a month will the costs for the two wireless phone companies be the same? m = number of minutes 40 + 0.10m = 80 + 0.05m The costs for the two phone companies will be the same with 800 minutes of talking.

5. Applications of Linear Equations Selecting a Rental Car A car can be rented from Avis for $260 per week with no extra charge for mileage. Hertz charges $80 per week plus 25 cents for each mile driven to rent the same car. For how many miles of driving in a week will the costs for the two rentals be the same? m = number of miles driven 260 = 80 + 0.25m The costs for the two rentals will be the same with 720 miles of driving.

6. A Price Reduction on a Digital Camera Your local computer store is having a terrific sale on digital cameras. After a 40% price reduction of the original price, you purchase a digital camera for $276. What was the camera’s price before the reduction? Let x = the original price of the camera prior to the reduction x – 0.40x = 276 The camera’s price before the reduction was $460.

7. Exit Slip (on loose leaf) Directions: Solve & Check 6x – 2(x – 4) = 10

8. David currently has a square garden. He wants to redesign his garden and makes it into a rectangle with a length that is 3 feet shorter than twice its width. He decides that the perimeter should be 60 feet. Determine the width and length, in feet, of his new garden. Write and solve an equation. Let w = width Length = 2w – 3