Download MAT 1313 TEST #2 Name

MTH 100
TEST #1
Sec. 2.1, 2.3, 3.1-3.3, 4.1-4.3
Name_________________
Fall 2010
Show all work on the test paper.
I. Solve each of the following equations and inequalities. Write the solution sets of
the equations in set notation.Write the solution sets of the inequalities in
interval notation.
1
4
x  x  x  10
2
3
2.
4x  7
 2x  5
3
3. 3  7  2x  13
4.
4 x  3  2  1
5.
6.
5  3x  7
1.
2x  5  3
II. A sum of $4000 is invested, part at 12% and the remainder at 14%. Find
the amount invested at each rate if the yearly income from the two
investments is $510.
III. In a recent election, the winning candidate received 150 votes more than
his opponent. There were a total of 1233 votes. How many votes did each
candidate receive?
IV. Complete the given ordered pairs for each equation:
1. 5 x  2 y  10
2. y  3x  4
 0, ____ 
 0, ____ 
2

 , ____ 
5


 ____ ,  3
 ____ ,0
 ____ ,8
V. Find the x- and y-intercepts for the graph of each equation. Sketch the graph
of the line.
1. 2 x  3 y  12
2. y  2
x  int. ________
x  int. _______
y  int. ________
y  int. ________
4. x  1  0
3. 4 y  x
x  int. ________
x  int. ________
y  int. ________
y  int. ________
VI. Find the slope of the line passing through the given points:
1.
 3,  2 and  7,1
________
2.
 2, 4 and 8, 4
VII. Find the slope of each line:
1. 2 x  6 y  15 ________
2. x  6 ________
________
VIII. For the given pair of lines, find the slopes of the lines, and then determine
whether the two lines are parallel, perpendicular, or neither.
1. y  2 x  5 ________________
1
7
y   x
2
2
2. x  y  3 ________________
yx4
IX. For each of the following, write the equation in slope-intercept form of the
line satisfying the given conditions.
1. passing through  6,  3 and having slope 2
2. passing through 1, 4 and  2,8
3. passing through  5,  1 and horizontal
4. passing through (-3,7) and perpendicular to y  4
X. Find the midpoint of the line segment whose endpoints are (-4,3) and (2, 5).