warm up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

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Warm Up 1) 2 + (-5) – 3= 2) 4 – (-1) + 8 = 3) -6 – 9 + 7 = 4) -4 – (-9) – 8 = -6 13 -8 -3

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Page 1: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

Warm Up

1) 2 + (-5) – 3=

2) 4 – (-1) + 8 =

3) -6 – 9 + 7 =

4) -4 – (-9) – 8 =

-6

13

-8

-3

Page 2: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

Homework Check

1) -5 – (-7) = ______

2) 5 – 7 = ______

3) 5 – (-7) = _____

4) 3 – (-11) = _____

5) 3 – 11 = _____

6) -3 – 11 = _____

7) -3 – (-11) = _____

2-2

1214

-8

-14

8

Page 3: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3
Page 4: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

You are an engineer in charge of testing new equipment that can detect

underwater submarines from the air. You are to answer the following

questions showing the position of the submarine and helicopter.

 

Therehe is!

Oh, no!

Page 5: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3
Page 6: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

1. During this part of the test, you are in a helicopter 250 feet above the surface of the ocean. The helicopter moves horizontally to remain directly above a submarine. The submarine begins the test positioned at 275 feet

below sea level. What is the distance from the helicopter to the submarine?

 

0 ft

Page 7: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

2. After one hour, the submarine is 325.8 feet below sea level. What is the new distance between the

helicopter and the submarine? 

 

0 ft

Page 8: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

3. After two hours, the submarine dives another 23 feet. What is the new depth of the submarine? 

 

0 ft

Now 23 feet deeper than previous position.

Page 9: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

4. What is the distance between the helicopter and the submarine now?

 

0 ft

Position from problem #3.

Page 10: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

5. After three hours, the submarine dives again, descending by an amount equal to the average of the

first two dives. Find the submarine’s new depth. 

0 ft

Page 11: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

6. What is the new distance between the helicopter and submarine?

 

Position that you found in problem #5.

0 ft

Page 12: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

The next three hours: The equipment in the helicopter is able to detect the

submarine within a total distance of 750 feet. For each scenario, determine the maximum or minimum

elevation for the other vehicle in order for the helicopter to detect the submarine.

 

Page 13: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

7. At the end of the fourth hour, the helicopter remains at 250 feet.  

What is the position of the submarine?

0 ft

Page 14: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

8. At the end of the fifth hour, the submarine returns to the same depth that it was at the end of the third hour. What is the position

of the submarine AND the helicopter?

0 ft

Page 15: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

9. At the end of the sixth hour, the submarine descends by an amount that is three times its second dive.What is the position of the submarine AND the helicopter?

0 ft

Page 16: Warm Up 1)2 + (-5) – 3= 2)4 – (-1) + 8 = 3)-6 – 9 + 7 = 4)-4 – (-9) – 8 = -6 13 -8 -3

10. Where would the helicopter be if the submarine dove another 300 feet?

0 ft

300 feet lower than its position in problem #9.