Download MAT 1313 TEST #2 Name

MTH 100
TEST #4
Sec. 9.1-9.7, 10.1, 10.2
Name_________________
Fall 2010
Show all work on the test paper.
I. Simplify each expression. Assume that all variables represent positive real numbers.
1.
2.
3.
 27 
x
1
2
2 / 3
 x6
x 3  x
9
2
 64x 
3
2
3
4. 2 27  48  3 75
5.
60x 3 y 7
6.
15x3  3x
7.
4
81a9b8
8.
5 2 1
2 1
9.
12
3
2
10.
2
24
II. Solve each equation. Write the solution set using set notation.
1.
3
4x  5  3
2.
x  2  1  3x  7
3.
7 x 5  x
III. Find the distance between the points with coordinates (-2, 8) and (3, 7).
IV. Perform the indicated operations. Express answers in the form a  bi .
1.
9  2i    2  3i 
2.
1  8i  2  5i 
3.
5i
3i
V. Use the square root property to solve each equation. Write the solution set using set notation.
1.
 x  3
2.
 2 x  1
2
3.
 x  1
 48
2
2
 24
 36
VI. Solve each equation by completing the square. Write the solution set using set notation.
1.
x 2  4 x  32  0
2. 2 y 2  5 y  2  0
VII. Use the quadratic formula to solve each equation. Write the solution set using set notation.
1.
4 x 2  12 x  11
2. x  5x  3  2
3. 2 x 2  2 x  1  0
VIII. Write an equation in slope-intercept form for the line passing through the
points (1,-5) and (2, 3).
IX. Solve the following inequalities, write the solution set using interval notation.
1.
x 1  8
2.
3 x  4
X. Simplify each expression so that no negative exponents appear in the final
results. Assume that all variables represent nonzero real numbers.
1.
18 x 3  x 4
6 x3
2.
 2 y 3 
 4 
 x 
3
XI. Solve the following equations. Write the solution using set notation.
x
2

x2 x2
1.
x
2.
2
1
1


5 x 3 x 15
XII. Perform the indicated operation(s). Write answer in lowest terms.
x 2  3x  4 3x 2  10 x  3
 2
x 2  16
x  x  12