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## Integers In Context - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=1

Represent the scenarios as integers.

 1 A. Steven walked 8 steps down. B. Steven walked 3 steps up. C. Steven stayed on the same step. A. B. C. 2 A. You deposited \$84 in your bank account. B. You did not deposit or withdraw from your bank account. C. You withdrew \$17 from your bank account. A. B. C.

### Complexity=1, Mode=ord

 1.   On a summer day, the temperature was 25° in Bangkok, Thailand and 39° in Death Valley, California. A. Write a sentence that compares the two temperatures.       B. Which city is cooler?        Death Valley, California        Bangkok, Thailand 2.   A scuba diver sees a reef shark 4 meters below the water's surface and a giant clam 6 meters below the water's surface. A. Write a sentence that compares the two depths.       B. Which one is closer to the water's surface?        reef shark        giant clam

### Complexity=1

Represent the scenarios as integers.

1A. Steven walked 8 steps down.
B. Steven walked 3 steps up.
C. Steven stayed on the same step.
A.
B.
C.
Solution
A. Down implies a negative value.

B. Up implies a positive value.

C. No change means a zero.
2A. You deposited \$84 in your bank account.
B. You did not deposit or withdraw from your bank account.
C. You withdrew \$17 from your bank account.
A.
B.
C.
Solution
A. When you deposit, you are adding money.
Therefore, it is a positive value.
B. When you do nothing, then there is no change.
Therefore, it is a zero.
C. When you withdraw, you are taking out money.
Therefore, it is a negative value.

### Complexity=1, Mode=ord

1On a summer day, the temperature was 25° in
Bangkok, Thailand and 39° in Death Valley,
California.

A. Write a sentence that compares the two temperatures.

B. Which city is cooler?
Death Valley, California        Bangkok, Thailand

Solution
Translate the phrases into integers:
25° in Bangkok, Thailand = 25
39° in Death Valley, California = 39
So, 25 < 39

25 < 39 means that Bangkok, Thailand is cooler than Death Valley, California.

2A scuba diver sees a reef shark 4 meters below
the water's surface and a giant clam 6 meters
below the water's surface.

A. Write a sentence that compares the two depths.

B. Which one is closer to the water's surface?
reef shark        giant clam

Solution
Translate the phrases into integers:
a reef shark 4 meters below the water's surface = -4
a giant clam 6 meters below the water's surface = -6
So, -4 > -6

-4 > -6 means that the reef shark is higher, or closer to the water's surface, than the giant clam.