# Math 6 – Unit 3 INTEGERS – STUDY GUIDE Section 1: Integers

```Math 6 – Unit 3
INTEGERS – STUDY GUIDE
Section 1: Integers
1. Define
Value:
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Absolute Value:
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Evaluate:
2. | 12 |
7. |-4| - |-2|
3. | -11 |
4. | 18.3 |
8. |4 +3 x 2| - |-10|
5. | -4 | + | 3 |
9. |-5| + |-2| - |3|
10. Plot the following numbers on a number line: -6, 0, 3, -1, 5, 3, -2
[T
y
p
e
a
q
u
o
t
e
11. Write in ascending order.
-175, 87, 0, -9, 12, -65, 3, 78, -32, -1, 14, 100
_________
________ _______
_______
______
_______
_________
________ _______
_______
______
_______
Describe each situation with an integer.
12.
390 feet above sea level
13.
23 yards lost
__________
__________
14.
34 degrees above zero
__________
15.
75 dollars deposited
__________
16.
55 dollars of debt
__________
17.
90 feet below sea level
_________
Compare using &gt;, &lt;, =
18.
-19
19.
14
20.
0
21.
-7
______
-15
22.
80
______
-12
23. |12|
_____
_____
_____
_____
| -19 |
| -12 |
-11
|-12|
24. |6 + 9| _____ |-18|
25. Which number has a higher absolute value:
-15 or 10 ? Explain.
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26. Which number has a higher value:
-15 or 10 ? Explain.
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Section 2: Inequalities
Graph the following inequalities.
1.
x&gt;3
2.
x ≤ -2
3.
x≠6
4.
x≥0
5.
x &lt; -5
6.
x ≠ -1
Write the inequality that describes the graph.
7.
8.
9.
10.
11.
Which inequality or inequalities do NOT use an open circle on the
number line?
Circle all that apply.
A. &lt;
B. &gt;
C. &lt;
D. &gt;
E. ≠
12. Which inequality or inequalities would have an open circle on the number line. Circle all
that apply.
A.
&gt;
B.
&lt;
C.
&gt;
D.
≠
E.
&lt;
Section 3: Coordinate Plane
Graph the following points on the coordinate plane. Write the
corresponding letter next to your point.
1.
A: ( 3, -4)
2.
B: ( 1, 6)
3.
D: ( 0, 2)
4.
G: (-2, 4)
5.
K: (-9, -3)
Name the corresponding letter for the given point. Then list the
quadrant or axis where the point is located.
6.
( 7, 5 ) ______
________
7.
( -4, 2 ) ______
________
8.
( 0, -3 ) ______
________
9.
( -2, -1 ) ______
________
10.
( 10, 0 ) _______
________
11.
The following points all lie on the ___________. (3, 0) (-5, 0)
(9, 0) (-1, 0)
Explain why.
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```