Name ______Date ______Period _____
Unit 1 Assessment: Operations with Numbers Study Guide
1. Draw a number line and graph the integer 6 and its opposite.
0
2. Which number is the additive inverse of
negative two hundred thirty-five?
3. What is the correct meaning of absolute value?
4. Find the absolute value. = =
5. Compare using <, >, or =. |-15| -|9|
6. Find the sum –2.6 + (–1.9).
7. Avery owes Luis $35 and borrows $17 more. How much does Avery
owe Luis now?
8. Evaluate + .
9. The income from the Beta Club’s car wash was $350.72. Expenses for the event totaled $35.97. Use integer addition to find the total profit or loss from the car wash.
10. Find the difference 12 − (–46).
11. Evaluate–1.5 - ( –6.3)
12. The highest temperature recorded in the town of Dawson this summer
was 102°F. Last winter, the lowest temperature recorded was –3°F.
Find the difference between these extremes.
13. Find the product 8.2 • (–7)
14. Multiply -9 • -6
15. Find the quotient -320 ÷ -40
16. A scuba diver started at the surface of the water and was moving down at
2 kilometers per minute toward the ocean floor. The scuba diver
traveled at this rate for 11 minutes before coming to the bottom of the
ocean floor. What is the depth of the ocean floor?
17. Which value always lies between a number and its opposite?
18. When two negatives are divided, the answer will always be ______.
19. A plane is flying at an altitude of 15,000 ft. while a submarine is moving
at a depth of 2,000 ft. What is the distance between the two?
20. Give three integers are between -14 and 8.
21. The temperature dropped 28 degrees in 7 hours. If the temperature
dropped at the same rate every hour, what is the change in temperature
each hour?
22. The shoreline is changing -6 centimeters each year due to erosion. What
is the change in the shoreline over 5 years?
23. Give a fraction that does NOT result in a terminating decimal.
24. Which rational numbers when multiplied by -½ will result in a positive rational number as the product and why?
25. Jayla had 1 ⅝ pounds of trail mix. She ate ¼ pound of the trail mix each day for 4 days. How many pounds of trail mix did Jayla have left after 4 days?
26. Provide three examples of pairs of integers that result in zero.
27. You have -$48 in your checking account. You write a check for $15,
then make a deposit for $100.
a. You want to buy two shirts that cost $23 each. Is there enough money in your account for this purchase?
b. If not, how much more will you need? Explain your reasoning.
28. An airplane is 2,100 feet above sea level, while a submarine is 2,100
feet below sea level.
a. Represent these two distances as integers.
b. Give the absolute value of each.
c. Is the absolute value of these two distances the same? Why or why not?
29. Write an equation for what is shown on this number line. Provide an explanation for the answer computed from that equation.
30. A company is operating at a loss of $500 per week. If this pattern
continues, in how many weeks will the company’s loss be $4,500?