# Understanding Opposite Quantities (Grade 7)

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## Understanding Opposite Quantities

1.

What number do you get when you add 872 to -872?

- 1744
- -872
- -1744
- 0

2.

Which set of tiles sums to 0?

3.

If you were to place a point at zero on the number line below and then move the point 4 units to the left, how many units and in what direction would you have to move the point in order to bring it back to zero?

- 3 units to the right
- 4 units to the right
- 4 units to the left
- 0 units in either direction

4.

If you were to place a point at [math]+2[/math] on the number line below, add [math]-5[/math] to that number, and move the point to the location of the new number, how many units and in what direction would you have to move the new point in order to bring it back to where it originally was?

- 3 units to the right
- 5 units to the right
- 0 units in either direction
- 2 units to the left

5.

A teenager decides to do some yard work for his neighbor. He already has $45. If the teenager makes a total of $12.50 doing yard work, and then spends $12.50 on a movie later that evening, how much money does he now have?

- $32.50
- $0
- $45
- $57.50

6.

If you were to place a point at zero on the number line below and then move the point [math]3 1/2[/math] units to the right, how many units and in what direction would you have to move the point in order to bring it back to zero?

- [math]0[/math] units in either direction
- [math]3 1/2[/math] units to the right
- [math]2 1/2[/math] units to the left
- [math]3 1/2[/math] units to the left

7.

A plane takes off from an airport that is 1,500 feet above sea level. If the plane ascends 6,000 feet from the ground, how many feet will the plane have descend if it wants to land at another airport that is also 1,500 feet above sea level?

- 9,000 feet
- 7,500 feet
- 4,500 feet
- 6,000 feet

8.

A man decides to go for a bike ride around his town. If he starts at his house and rides for 9.3 miles away from home, how many miles and in what direction will he have to ride in order to get back home again?

- 9.3 miles towards his home
- 9.3 miles away from his home
- 18.6 miles away from his home
- 18.6 miles towards his home

9.

A cat walked 1.23 miles away from his home. How far must he walk in order to get home and in what direction?

- 0 miles away from home
- 3.21 miles towards home
- 1.23 miles towards home
- 1.23 miles away from home

10.

Which statement best describes a situation in which opposite quantities combine to make zero?

- Shawna made 8 cups of soup and divided the soup into 8 containers.
- Melanie deposited $10 in her savings account and then withdrew $10 from the account.
- Peter scored 2 goals in the ﬁrst period of a hockey game and 2 goals in the second period.
- Marcos missed 4 questions on a test in which each question was worth 4 points.

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