Name_________________________
Period________
Integers Practice Quiz
I understand opposite/negative numbers, and I can determine absolute value.
1. Solve each of the following:
a.
|5| =
c. – (- |-11|) =
b. -|-14| =
2. Mr. Green has invested money in the stock market.
(a) Use an integer to represent a loss of 7000 dollars.
__________
(b) Use an integer to represent a gain of 9200 dollars.
__________
(c) What would zero mean?
3. How would you explain to a student how to find the absolute value of a number?
4. What number is halfway between −4 and 11? Show your thinking.
5. If the temperature reading on the thermometer is -7 ° C, what will the new reading be if
the temperature:
(consider each question separately)
a. falls 3°
________
b. rises 5°_______
c. rises 9° _______
I can compare and order rational numbers on a number line.
6. Place the appropriate inequality symbol (< = >) between each pair of numbers:
a. -0.3
2
5
b.
-8
-2
7. Draw a number line and mark and label points for:
c. -|4|
1
-6
2
22, -5, 2.26, 0, -3 7, 8.1, -3.5
Name_________________________
Period________
8. A student does the problem -8 – 8 and gets zero for an answer. Explain how she could
have avoided this error.
9. As shown on the number line below, 𝑘 represents an unknown number between 2 and
3. Plot each of the following, extending the line if necessary:
(a) 𝑘 + 3
(b) 𝑘 − 2
(c) −𝑘
(d) 6 − 𝑘
I can plot coordinates on a coordinate plane.
10. In the following coordinate plane, label the quadrants, the origin, and the x-axis and yaxis.
y
4
D
3
A
2
1
x
-4
B
-3
-2
-1
1
2
3
4
-1
C
-2
E
-3
F
-4
Use the coordinate plane above to answer questions 11, 12 and 13.
11. State the coordinates of each point:
A ______
B _____
C ______
D ______ E _______
F _______
12. Reflect each of the above coordinates over (across) the x-axis. State the new
coordinates:
A _____
B _____
C ______
D _______ E _______
F _______
13. Reflect each of the above coordinates over (across) the y-axis. State the new coordinates:
A _____
B _____
C ______
D _______ E _______
F _______
Name_________________________
Period________
14. Plot and label the following points:
4
A (2, 1)
F (0, 4)
B (1, 2)
G (4, 0)
C (-4, -2)
H (-2, 0)
D (-3, 1)
I (0, - 3)
E (5, -2)
J (3, - 3)
3
2
1
-4
-3
-2
-1
1
2
3
4
-1
-2
-3
-4
15. The chief of police in Chicago began
collecting data on the locations of
crimes in Baltimore. She used a
computer program to plot each crime
relative to the city center. This week,
crimes happened at (1,-5), (-2,-7) and
(0,-6). Plot these crimes on a
coordinate plane, and identify the
quadrant of each crime. Where should
the police chief send her police officers
next week?
Each unit on the coordinate grid
represents 1 kilometer. Plot the
following cities on the county map:
Smithville (-5, 2)
Horton (4, -1)
Marina (2, 2)
Fair Hills (-3, -1).
16. What is the distance in kilometers from
Smithville to Marina?
17. What is the distance in kilometers from
Horton to Fair Hills?
y
4
4
3
3
2
2
1
1
x
-4
-3
-2
-1
1
2
3
-4
4
-3
-2
-1
1
-1
-1
-2
-2
-3
-3
-4
-4
I can add and subtract integers.
18. Solve each of the following:
5 + (-5) =
-6 + (7) =
2-5=
(-5) - 9 =
-7 + (-4) =
(-4) - 4 =
2
3
4
Name_________________________
Period________
I can model addition and subtraction with integers.
18. Model the problem ( -3 ) + 5 using:
a. a number line
b. colored chips
19. Model the problem 6 – ( -4 ) using:
a. a number line
b. colored chips
I can multiply and divide integers.
20. Solve each of the following:
2(-2) =
-5(7) =
-12 ¸ 4 =
-18 ¸ -6 =
-7(-4) =
(+4) ¸ (-2) =
I can solve word problems involving operations with integers.
21. Tyler and Christina are playing a game in which each player either wins, loses, or
draws (ties) at each turn. The winner of a turn is awarded 5 points, and the loser loses
5 points. If it is a draw, 0 points are awarded. For the first eight rounds Tyler had the
following results: lose, win, lose, win, win, lose, win, draw. What was Christina's point
total for the rounds?
22. Courtney is very interested in cryogenics (the science of very low temperatures). With
the help of her science teacher she is doing an experiment on the affect of low
temperatures on bacteria. Her sample of bacteria starts at a temperature of 58°C and
is lowered to -85°C. What was the change in temperature of the bacteria?
I can use the proper order of operations.
23. Solve each of the following:
a.
12 ¸ 6 ´ 2
b.
18 +10 ¸ 2
c.
8 + 3(-4 - 3)