Equation Worksheet With Answers - Mat 1101 - 2011
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1
2Test 2
MAT 1101
Spring 2011
Name ________________________
Simplify all answers and show your work! You may use MathGV as a tool.
7
1. In the equation 7x – 4y = –13, what is the value of the slope?
4
A
2. In the equation Ax + By = C, what is the value of the slope?
−
B
3. In the linear equation 3x + 9y = 27, what is the x-intercept? __(9, 0)___ y-intercept? ___(0, 3)___
4. Lines that are parallel have the same __slope__.
x 3
2
y
17
−
=
−
5. Solve for x: 4x – 8(x + 2) = 3(2x – 9) + 6
6. Solve the system of equations:
x
y 6
21
+
=
1
x =
( –3, 4)
2
7. Find the equation of the line having the following properties.
7
a) m =
, passing through (–2, 5)
b) Passing through (2, –5) and (7, –2)
−
4
7
3
3
31
y =
x +
or
7x + 4y = 6
y =
x
or
3x – 5y = 31
−
−
4
2
5
5
8. Graph the following system of equations
and find the point of intersection.
y
x 3
4
=
−
+
Point of intersection:
y
x 4
8
=
−
approximately (1.71, –1.14)
Determine if the following pairs of lines cross in one point, are parallel, or are the same line.
x 2
7
y
3
x 3
y 4
25
x 2
10
y
18
−
=
−
+
=
−
=
9.
10.
11.
x 7
2
y
3
12
x
16
y
100
x 8
40
y
90
−
=
−
+
=
−
=
Cross in one point
Same line
Parallel
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