7th Grade Math

(Marvins-Underground-K-12) #1

Chapter Study Guide and Review


118 Integers

Add and Subtract Integers


Add Integers (Lesson 2B)
Add.




    • 6 + 8 25. - 4 + (-9)



  1. 7 + (-12) 27. - 18 + 18



    • 2 + 9 29. - 10 + (-5)



  2. 6 + (-9) 31. 17 + - 17

  3. HIKING Alicia hiked 75 feet up a
    mountain. She then hiked 22 feet higher.
    Then, she descended 8 feet, and finally
    climbed up another 34 feet. What is the
    final change in Alicia’s elevation?

  4. HIBERNATION A black bear can weigh as
    much as 900 pounds when it starts
    hibernating. It loses 350 pounds during
    hibernation and gains 50 pounds two
    months after hibernation ends. What is
    the bear’s final weight?


EXAMPLE 5 Find - 4 + 3.


  • 3 - 2 - 10 1

    • 4




+ 3


  • 5 - 4
    So, - 4 + 3 = -1.


EXAMPLE 6 The population of Ankeny
grew by 2,394. Then it decreased 1,459.
Then it decreased 3,490 more. What is the
net change in population?
The changes in population can be
represented by the addition sentence
2,394 + (-1,459) + (-3,490).
2,394 + (-1,459) + (-3,490) = -2,555
So, the net change in population is -2,555.

Subtract Integers (Lesson 2D)
Subtract.




    • 5 - 8 35. 3 - 6



  1. 5 - (-2) 37. - 4 - (-8)



    • 3 - 7 39. 12 - 17



  2. 4 - (-7) 41. - 10 - (-9)

  3. GOLF Owen shot 2 under par while his
    friend Nathan shot 3 over par. By how
    many shots was Owen’s score better
    than Nathan’s?

  4. VOLCANOES The summit of an oceanic
    volcano once had an elevation of

    • 3,780 feet. The summit now has an
      elevation of -800 feet. What was the
      change in elevation?




EXAMPLE 7 Find - 3 - 9.


  • 3 - 9 = - 3 + (-9) To subtract 9, add -9.
    = - 12 Simplify.


EXAMPLE 8 On Wednesday, a company’s
stock closed at $13.54. On Thursday, it
closed at $12.28. What was the change
in the closing price?
To find the change in closing price, subtract
$13.54 from $12.28.
$12.28 - $13.54 = -$1.26
The change in closing price is -$1.26.

Lesson 2

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