Linear Applications

Linear Applications

{Day 1}

Open Ended

Question of the Day:

What is your favorite pizza type of pizza and where do you get it from?

My Turn #1: The sum of three consecutive integers is -66.  What is the number?

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The sum of three consecutive integers is 165. What is the smallest number?

My Turn #2: Some states have a single area code for the entire state.  Two such states have area codes that are consecutive odd integers.  If the sum of these integers is 1208, find the two area codes. (Source: North American Numbering Plan Administrations)

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The sum of three-consecutive even integers is 144. Find the integers. What is the largest?

Multiple Choice

Which of the following setups would be used to find four consecutive integers?

• n n+2 n+4 n+6

• n 2n 4n 6n

• n+1 n+2 n+3 n+4

• n n+1 n+2 n+3

Multiple Choice

Which of the following setups would be used to find four odd/even consecutive integers?

• n n+2 n+4 n+6

• n 2n 4n 6n

• n+1 n+2 n+3 n+4

• n n+1 n+2 n+3

My Turn #3: Finding Time given rate and distance

A glacier is a giant mass of rocks and ice that flows downhill like a river.  Portage Glacier in Alaska is about 6 miles, or 31,680 feet, long and moved 400 feet per year.  Icebergs are created when the front end of the glacier flows into Portage Lake.  How long does it take for ice at the head (beginning) if the glacier to reach the lake?

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The Stromboli Volcano, in Italy, began erupting in 2002, after a dormant period of over 17 years.  In 2007, a volcanologist measured the lava flow to be moving at 5 meters per second.  If the path the lava followed to the sea is 580 meters long, how long does it take the lava to reach the seas in seconds?

My Turn #4: Calculating Perimeter/Dimentions of a Rectangle

Charles can afford enough fencing to enclose a rectangular garden with a perimeter of 140 feet.  If the width of the garden must be 30 feet, find the length.

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Evelyn fenced in part of her backyard for a dog run.  The dog run was 40 feet in length and used 98 feet of fencing.  Find the width of the dog run in feet.

My Turn #5: Temperature Conversion

The average minimum temperature for July in Shanghai, China is 77°F . Find the equivalent temperature in degrees Celsius.

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The average minimum temperature for July in Sydni, Australia is 8 Celsius. Find the equivalent temperature in degrees Fahrenheit.

My Turn #6: Finding Dimensions

The length of a rectangular road sign is 2 feet less than three times its width.  Find the dimensions if the perimeter is 28 feet.

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The new street signs along Route 114 have a length that is 3 inches more than 5 times the width.  Find the dimensions of the signs if the perimeter of the signs are 66 inches.

Width?