Mat 1101 Test 2 Answers - 2009

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Test 2
MAT 1101
Winter 2009
Name ________________________
Simplify all answers and show your work! You may use MathGV as a tool.
1. In the linear equation 4x – 6y = 12, what is the x-intercept? __(3, 0)_ y-intercept? ___(0, -2)__
3
2. In the equation 3x + 8y = –5, what is the value of the slope?
8
3. Lines that are parallel have the same _slope_.
A
4. In the equation Ax + By = C, what is the value of the slope?
B
4 −
9
x
-1
5. Solve for x: 3(x + 8) = 8x – 2(x – 7)
6. If f(x) =
, find the inverse (f
(x)).
6
10
6 +
9
x
-1
x =
f
(x) =
3
4
7. Solve the inequality: 4(x – 2) > 6(x + 7) – 2
8. Solve the inequality:
3
8
5
9
x
<
1
11
x < -24
x
<
5
5
2
5
4
x
y
+
=
9. Graph the following system of equations.
10. Solve the system of equations:
4
10
x
y
+
=
3
2
y
x
=
and find the point of intersection.
1
5
y
x
 
=
+
2
(-3, 2)
(2, 4)
See Diagram
Determine if the following pairs of lines cross in one point, are parallel, or are the same line.
4
6
12
8
3
15
4
7
28
x
y
x
y
x
y
=
=
+
=
11.
12.
13.
2
3
6
16
6
30
12
21
21
x
y
x
y
x
y
+
=
=
+
=
Cross in 1 point
Same line
Parallel

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