Download Study Guide: Operations with Integers

Name: ______________________
Class: _________________
Date: _________
Study Guide: Operations with Integers
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which list shows the integers in order from least to greatest?
a. –8, –5, 0, 2, 6
c. –5, –8, 0, 2, 6
b. 0, 2, –5, 6, –8
d. 0, –8, –5, 2, 6
____
2. You record the daily low temperatures for four days at a ski lodge. What is the mean low
temperature?
a.
b.
____
–16°C
–4°C
c.
d.
2.5°C
4°C
3. Two points are plotted on the number line below.
Which of the following has the greatest value?
a. W− X
c. W+ X
b. X − W
d. X • W
____
4. The temperature at 6:00 P.M. was 15°C The temperature dropped 2°C per hour. What was the
temperature at 4:00 A.M.?
a. –5°C
c. 1°C
b. –1°C
d. 5°C
Name the word that matches the definition given.
____
____
5. The
a.
b.
c.
set of whole numbers and their opposites
integer
d.
absolute value
e.
opposites
f.
6. The
a.
b.
c.
distance between a number and 0 on a number line
integer
d. additive inverse
absolute value
e. reciprocal
opposites
f. rational number
1
additive inverse
reciprocal
rational number
ID: A
Name: ______________________
ID: A
____
7. Two numbers that are the same distance from 0,
a. integer
d.
b. absolute value
e.
c. opposites
f.
____
8. The
a.
b.
c.
opposite of a number
integer
absolute value
opposites
d.
e.
f.
but on opposite sides of 0
additive inverse
reciprocal
rational number
additive inverse
reciprocal
rational number
Evaluate the expression when a = –48, b = 4, and c = –3.
____
9. –22 + c
a. –23
b. –25
c.
d.
–19
–24
____ 10. −50 − a
a. 98
b. –2
c.
d.
–1
–98
a÷b
c
a. 4
b. –4
c.
d.
7
64
c.
d.
1
–21
c.
d.
18
24
c.
d.
6
9
c.
d.
–64
16
c.
d.
–96
–48
____ 11.
Evaluate the expression.
____ 12. –19 – 9 – (–11)
a. –17
b. 17
____ 13. −3 • (−2)
a. –24
b. –18
3
2
____ 14. (−3)
a. –6
b. –9
2
____ 15. −8
a. 64
b. –16
2
____ 16. −4 • 6
a. 96
b. 48
2
Name: ______________________
ID: A
____ 17. −8 − 10 ÷ 2 + 8
a. 5
b. –5
c.
d.
–9
–1
____ 18. −12 ÷ ( −3 ) + ( −9 ) • ( −6 )
a. 30
b. 58
c.
d.
–6
61
Multiply.
____ 19. A manatee dives at a rate of 4 feet per second. What integer represents the change in the manatee’s
position after 20 seconds?
a. 80
c. –60
b. –80
d. –85
____ 20. You withdraw $40 each month from your savings account. What integer represents the change in your
balance after 4 months?
a. –120
c. –160
b. 160
d. –200
Numeric Response
Evaluate the expression.
1. –12 + 5
2. – 4 – 3
3. –3 – (–7)
4. −3(−4)
5. 9(−7)
6. −18 ÷ 6
7. 27 ÷ (−3)
8. You lose 2 points every time you forget to write your name on a test. You have forgotten to write your
name 4 times. What integer represents your change in points from forgetting to write your name?
9. −8 • 5
10. 8 + (–1) + (–3)
11. −13 + (−56) ÷ 14 + 9
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Name: ______________________
ID: A
12. −16 • 3 − (−36) ÷ 12
13. You and your friend play a video game. You have a final score of 40 points, and your friend has a final
score of –21 points. By how many points did you win?
14. What is the value of the expression below?
12 − 6 • 3
Divide, if possible.
15. 0 ÷ (–10)
Find the mean of the integers.
16. –21, –34, –37, –52, –56
17. –3, –1, 0, 1, 3
Multiply.
18. –2(–5)(–3)
19. −2(−21)(−5)
Evaluate the expression.
20. −17 − (−56) + 14
Short Answer
Complete the statement using <, >, or =.
1. 4 ____ | –8 |
2. | –5 | ____ | –10 |
3. 6 ____ | 2 |
4. | –3 | ____ 3
4
Name: ______________________
ID: A
5. 0 ____ | 3 |
6. A scuba diver dives down 20 feet into the ocean. He then swims 11 feet back up towards the surface.
What is the position of the scuba diver relative to the surface?
Tell whether the value of the expression is positive or negative without evaluating.
7. −36 ÷ 4
8. −5 • 16
9. 72 ÷ 8
10. −13(−9)
11. You start hiking at an elevation that is 80 meters below base camp. You increase your elevation by 42
meters. What is the new elevation with respect to base camp?
12. The table shows the temperature in Des Moines, Iowa, for certain times during a particular day.
a.
b.
c.
d.
e.
What are the high and low temperatures?
Find the range of temperatures.
Find the change in temperature from 5 P.M. to 10 P.M.
Based on the given five temperatures, what is the average temperature for the day?
Explain why your answer to part (d) is not an accurate average temperature for the day.
13. Two integers, n and p, have a product of –24. What is the largest possible sum of n and p? Explain how
you found your answer.
14. Your video game scores are 64, –13, 73, –5, and 36.
a. What were your lowest and highest scores?
b. What was your mean score?
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