## 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. Jose walked 2 steps down. B. Jose stayed on the same step. C. Jose walked 6 steps up. A. B. C. 2 A. Peter walked 9 steps forward. B. Peter walked 5 steps backward. C. Peter stood still. A. B. C.

### Complexity=1, Mode=ord

 1.   Stocks HAHA and WAVE are the same price at the beginning of the day. By the end of the day, HAHA lost 1 point and WAVE gained 12 points. A. Write a sentence that compares the changes in stock prices.       B. Which stock is higher in price?        HAHA        WAVE 2.   In a department store, the sporting goods section is 8 floors above ground level and the billing department is 1 floor below ground level. A. Write a sentence that compares the two floor levels.       B. Which one is on a lower floor?        sporting goods section        billing department

### Complexity=1

Represent the scenarios as integers.
1A. Jose walked 2 steps down.
B. Jose stayed on the same step.
C. Jose walked 6 steps up.
A.
B.
C.
Solution
A. Down implies a negative value.

B. No change means a zero.

C. Up implies a positive value.
2A. Peter walked 9 steps forward.
B. Peter walked 5 steps backward.
C. Peter stood still.
A.
B.
C.
Solution
A. Stepping forward implies gaining ground.
Therefore, it is a positive value.

B. Stepping backward implies losing ground.
Therefore, it is a negative value.

C. No change means a zero.

### Complexity=1, Mode=ord

1Stocks HAHA and WAVE are the same price at the
beginning of the day. By the end of the day,
HAHA lost 1 point and WAVE gained 12 points.

A. Write a sentence that compares the changes in stock prices.

B. Which stock is higher in price?
HAHA        WAVE

Solution
Translate the phrases into integers:
HAHA lost 1 point = -1
WAVE gained 12 points = 12
So, -1 < 12

-1 < 12 means that HAHA has a lower price than WAVE

2In a department store, the sporting goods section
is 8 floors above ground level and the billing
department is 1 floor below ground level.

A. Write a sentence that compares the two floor levels.

B. Which one is on a lower floor?
sporting goods section        billing department

Solution
Translate the phrases into integers:
the sporting goods section is 8 floors above ground level = 8
the billing department is 1 floor below ground level = -1
So, 8 > -1

8 > -1 means that the sporting goods section is higher than the billing department.