swbat… apply equations to word problems agenda 1. warm-up (20 min) 2. 4 application problems (25...

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 1 7 3 2 n n

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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 denominator21

2 nn

Page 2: 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 –

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

Page 3: 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 –

Applications of Linear EquationsSelecting 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.

Page 4: 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 –

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.

Page 5: 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 –

Applications of Linear EquationsSelecting 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.

Page 6: 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 –

A Price Reduction on a Digital CameraYour 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 = 276The camera’s price before the reduction was $460.

Page 7: 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 –

Exit Slip (on loose leaf)

Directions: Solve & Check

6x – 2(x – 4) = 10

Page 8: 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 –

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

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