Download MATH 115 TEST #4 (Chapter 7) Spring 04

Math 115 Practice Test #5 (Chapters 8 & 9)
36
2
2.
Simplify. Assume all variables represent positive numbers.
48 x 3 y 2
a)
4.
5.
6.
b)

Simplify.
3.
a)
49
1.
b)
Simplify.
2 5
a)
20
b)
72a 4b7
5
12

c)

Solve each equation.
a)
6 x  2  3x  5
3
128x 6 y 5
d)
d)
24
100
3
128c5 d 2
4
3 18  2 32  5 50  72
b)
Rationalize the denominators.
5
a)
7a
5
25
81
1
2
c)
Perform the indicated operations.
a)
4 2 1 3  5

c)
b)
2
3 5
b)
8x  2  x
7. Solve each equation by the method indicated.
2 x2  5x  7  0
a) by factoring
b) by using the square root property
c) by completing the Square
x 2  45
x2  8x  7  0
d) by using the Quadratic Formula
5 x 2  8 x  1
8. Solve each quadratic equation by your method of choice.
a) 6 x 2  18 x  0
b) 9 x 2  12 x  4
c) 4 x 2  16
d) ( x  3)2  49
9. In the right triangle ABC, a = 2 cm, b = 6 cm, find the side c by using the Pythagorean
Theorem.
B
c
a
C
A
b
____________________________________________________________________________
Solutions:
5
9
1. a) 3 2
b)
Not a real number
c) 
2. a) 4 xy 3 x
b)
6a 2b3 2b
c) 20 x 2 y
3. a) 1
b)
4. a)
5. a)
6. a)
c)
4 6  20 2  3  5
9. 2 10 cm
d) 6c 2 d 2c
2 y2
2
2
b)  3  5
x  3; x  1 needs to be rejected since it is extraneous!
x  3; x  0
3
6
5
b) 32 2
35a
7a
7
7. a) x  ; x  1
2
8. a)
15
6
d)
b) x   3 5
b) x  
2
3
b)
x2
x
4  11
5
c)
x  4  23
d)
c)
x  2
d) x  4, x  10