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Name ____________________________
Test 3
DM 0084 Ch. 11
Part I. Problems 1 - 20 are worth 3 points each. Put your answer in the box. Only the
answer in the box will be graded. Answers should contain positive exponents only. Be
careful.
1. Evaluate 24
2. Rewrite 4 9 with a positive exponent. Do not evaluate
with a calculator.
3. Evaluate e  3
2
1I
F
 J
G
H3K
3
4. Evaluate
5. Simplify: (a8)(a3)
6. Simplify: (y2)(y9)(y-5)
7. Simplify:
x4
x7
8. Simplify: (y3)4
F
y I
G
Hy JK
3
9. Simplify:
2
8
10. Perform the multiplication: 3y2(2y - 3)
11. Simplify (106 ) (10-10)
12. Evaluate: 6.42  103
13. Change to scientific notation: .0000000475
14. Change to an “ordinary” number: 3.45 x 107
15. Multiply: (7.2 x 1012)(3.9 x 10-2). Give answer in
scientific notation.
16. Solve for x: 2x = 32
17. Solve for y: 3y - 2 = 27
18. Evaluate to the thousandths place: log 25
19. Evaluate to the thousandths place: 3 e1.2
d3  5i
20. Evaluate to the thousandths place: ln
Part II. Give complete solutions to problems 21 - 26. Show all your work if you want to
receive any partial credit.
21. (8 pts) Suppose there are 6.023 x 1023 molecules in one gram of water. How many
molecules are in a beaker containing 10.5 grams of water? Leave answer in scientific
notation.
22. (8 pts.) Jim-Bob invested $3500 at 6.5% compounded quarterly (4 times per year).
How much was the accumulated amount after 7 years? You may use the formula
A = P(1 + r/n)nt
23. (8 pts.) The number of grams of a chemical that will dissolve in a solution is given
by the formula C = 100e0.02t where t is the temperature in degrees Celsius. Evaluate when
t = 20.
24. (8 pts.) Simplify:
6 x 4  10 x 3  12 x 2
4x
25. (8 pts.) Solve for x: 3x 2 
1
243
26. (8 pt. bonus) Solve the equation: 92x = 729