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Math 115
Test #3
Name: ______________________________
Show all work for full credit. Total points: 100
1. (30) Simplify the following expression. Write the result without using negative exponents. All
variable represent nonzero real numbers.
a.
2 x
3
y 5 z 4
 x5 y 2
b. 
3
 2 xy



 2 x y 
3
2
3

e.  3 2 x 2 y
2
c.
2.
(6)
d.  6 x 0  3 1  5 0

 1 8 3 3
  xy z  x yz
 5


3
Evaluate the polynomial.
 4 x 3 y  4 x 2 y 2  17 for x = 2 and y = -3
5 x 3 yz
f.
30 x  2 yz 4
 0.05xy 
3
2
3.
(35)
Perform the indicate operation.
a. 5(9 x 7  9 x 3  3x 2  2)  3(2 x 7  6 x 3  7 x  1)
b.
2 x  3x 2  x  7


c. 4 xy  2 xy  12 y  1
5
d.
4.
(7)
4
3
e.
2x  5 y x  4 y 
f.
 4 1  4 1 
 2 x   2 x  
3 
3

g.
14m 8 n  8m 7 n 5  10m 6 n 7
2m 5 n
5 x  92
Multiply: 2 x  5
3
5.
(8)
Divide using long division, then check the answer.
16 x 3  4 x 2  6 x  9
4x  3
6.
(8: 2,2,4)
Scientific notation.
a. Write as scientific notation.
1,022,000,000,000
b. Write as standard number.
0.0000001704
c. Multiply.
1.25  10 9 8.7  1015

7.
(6)


Find the area of the shaded region.