Mat 1101 Linear Equations Worksheet - 2009
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1
2Test 2
MAT 1101
Summer 2009
Name ________________________
Simplify all answers and show your work! You may use MathGV as a tool.
1. Lines that are parallel have the same ____________.
2. In the linear equation 4x – 9y = 36, what is the x-intercept? ___________ y-intercept? ___________
3. In the equation 2x + 7y = 18, what is the value of the slope? ____________
4. In the equation Ax + By = C, what is the value of the slope? ____________
Find the equations of the lines with the given properties:
5. Passing through points
6. Passing through (4, 2) and
7
(4, –7) and (1, –9).
having a slope of
.
5
8 −
1
x
-1
7. Solve for x: 3(x – 6) = 4(x + 5) – 2x
8. If f(x) =
, find the inverse (f
(x)).
3
4
3
6
+
=
−
x
y
9. Graph the following system of equations.
10. Solve the system of equations:
6
15
−
=
−
x
y
3
4
=
+
y
x
and find the point of intersection.
1
1
=
−
y
x
2
Determine if the following pairs of lines cross in one point, are parallel, or are the same line.
2
3
27
5
4
1
12
9
34
−
=
+
=
−
=
x
y
x
y
x
y
11.
12.
13.
4
6
51
15
12
3
9
6
12
−
+
=
+
=
−
=
x
y
x
y
x
y
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