Dugopolski’s 1College Algebra
Chapter P Test — Form A Name: ________________________
Determine which elements of the set
{ 6, , , 0, 0.121221222 . . . , 1.2, , , 5 }
are members of the following sets.
1. 2. Rational numbers: ________________ Integers: ________________
Evaluate each expression
3. 4. 5. 6. 2(2 5) + | 4 7 | 4 16
3 2
3. ________ 4. ________ 5. ________ 6._____________
Simplify each expression. Assume that all variables represent positive real numbers.
7. 8. 9. 10.
3 9 2
3/2
3
7. ________ 8. ________ 9. ________ 10.________
Perform the indicated operations and write the answer in the form , where and are
real.
11. 12.
11. ______________________ 12. ______________________
Perform the indicated operations and simplify the results.
13. ( 3) ( + )
13. ________________
14. (2 3 )(5 + 4 )
14. ________________
2 Form PA
15. (2 + 3) ( 1)
15. ________________
16.
+
16. ________________
17.
17. ________________
18.
18. ________________
Factor completely:
19. 20. 21. 6 5 6 8 4 2 + 1
19. ________________ 20. ________________ 21. _____________
22. Perform the indicated operations. Write the answer in scientific notation.
22. ________________
23. The polynomial gives the revenue in dollars on the sale
of t-shirts. Find the revenue for the sale of 50 t-shirts.
23. ________________
24. Write a polynomial that expresses the area of a rectangle whose length is 3 feet
more than twice the width.
24. ________________
Dugopolski’s 3College Algebra
Chapter P Test — Form B Name: ___________________
Determine which elements of the set
{ 3 , , 0, 0.12, 0.595959 . . . , , 4 }
are members of the following sets.
1. 2. Irrational numbers: _______________ Natural numbers: _______________
Evaluate each expression:
3. 4. 5. 6. 4 , if 3 2 + 3 2 4
3. ________ 4. ________ 5. ________ 6. __________
Simplify each expression. Assume that all variables represent positive real numbers.
7. 8. 9. 10. 8 32 5
7. ________ 8. ________ 9. ________ 10.__________
Perform the indicated operations and write the answers in the form , where and are
real.
11. 12. 3 27
11. ______________________ 12. ______________________
Perform the indicated operations and simplify the results.
13. 4 5 2 5
13. ________________
14. 3
14. ________________
4 Form PB
15.
15. ________________
16.
4
16. ________________
17.
17. ________________
18.
18. ________________
Factor completely.
19. 20. 21. 2 128
19. ________________ 20. ________________ 21. _____________
22. Perform the indicated operations. Write the final answer in scientific notation.
.
( )( )
22. ________________
23. The polynomial gives the height in feet of a projectile
seconds after it has been launched. Find the height of the projectile after seconds.
23. ________________
24. Write a polynomial that expresses the area of a triangle whose base is feet
less than four times its height.
24. ________________
Dugopolski’s 5College Algebra
Chapter P Test — Form C Name: _________________________
Determine which elements of the set
{ , 2, 1. , , 0, , , }
are members of the following sets.
1. 2. Integers: _______________ Rational numbers: _________________
Evaluate each expression.
3. 4. 5. 6. ( ) | |
3 (4)
+3 3
3. ________ 4. ________ 5. ________ 6.________
Simplify each expression. Assume that all variables represent positive real numbers.
7. 8. 9. 10.
20
7. ________ 8. ________ 9. ________ 10.________
Perform the indicated operations and write the answer in the form , where and are
real.
11. 12.
11. ______________________ 12. ______________________
Perform the indicated operations and simplify the results.
13.
13. ________________
14. 3
14. ________________
15.
15. ________________
6 Form PC
16. 2 1
+ 1
16. ________________
17. +
17. ________________
18.
18. ________________
Factor completely:
19. 20.
19. ________________ 20. ________________
21. 22. 125 64
21. ________________ 22. ________________
23. Perform the indicated operations. Write the final answer in scientific notation.
( )( )
23. ________________
24. The polynomial gives the profit in dollars from the
production of items. Find the profit in producing 100 items.
24. ________________
25. Write a polynomial that expresses the area of a rectangle whose width is 5
meters less than half its length.
25. ________________
Dugopolski’s 7College Algebra
Chapter P Test — Form D Name: ________________________
Determine which elements of the set
{ , , , 1.2, 0, , 0.020202 , 0.020020002 , 6 }
are members of the following sets.
1. 2. Irrational numbers: _________________ Integers: __________________________
Evaluate each expression:
3. 4. 5. 6. if 4 2
3. ________ 4. ________ 5. ________ 6.________
Simplify each expression. Assume that all variables represent positive real numbers.
7. 8. 9. 10.
7. ________ 8. ________ 9. ________ 10.________
Perform the indicated operations and write the answer in the form , where and are
real.
11. 12.
11. ______________________ 12. ______________________
Perform the indicated operations and simplify the results.
13.
13. ________________
14.
14. ________________
15.
15. ________________
8 Form PD
16. 2
16. ________________
17.
17. ________________
18.
18. ________________
Factor completely:
19. 20.
19. ________________ 20. ________________
21. 22. 2
21. ________________ 22. ________________
23. Perform the indicated operations using scientific notation. Give final answer in
standard notation.
23. ________________
24. The polynomial gives the revenue in dollars from the sale of
items. Find the revenue on the sale of 50 items.
24. ________________
25. Write a polynomial that expresses the area of a rectangle whose width is 2
inches more than one-third its length.
25. ________________
Dugopolski’s 9College Algebra
Chapter P Test — Form E Name: ________________________
A. True or False:
_____ 1. 0 is an irrational number.
_____ 2. All integers are whole numbers.
_____ 3. | | | |
_____ 4. is an irrational number.
_____ 5. ( )
_____ 6.
_____ 7. Every positive real number is a rational number.
_____ 8. 0.00235 10 2.35 10
_____ 9.
_____ 10. For all real numbers : | |
B. Multiple Choice: Choose the best answer.
_____ 11. Evaluate:
a. b. c. d.
_____ 12. Evaluate:
a. 1 b. c. 5 d. 5
_____ 13. Rationalize the denominator and simplify:
a. b. c. d.
_____ 14. Simplify: ( )
a. b. c. 8 d.
_____ 15. Simplify:
a. b. c. d.
_____ 16. Simplify:
a. c.
b. d.
_____ 17. Expand the product:
a. c.
b. d.
_____ 18. Simplify:
a. c. 2
b. d.
10 Form PE
_____ 19. Simplify:
a. b. c. d.
_____ 20. Simplify:
a. b. c. d.
_____ 21. Factor completely:
a. ( ) c. ( )( )( )
b. ( )( ) d. ( 1)
_____ 22. Factor completely:
a. ( ) ( ) c. ( )
b. ( )( ) d. ( ) ( )
_____ 23. Factor completely:
a. ( ) b. ( ) c. ( ) d.
_____ 24. Simplify:
a. b. c. d.
_____ 25. Simplify:
a. b c d
_____ 26. The altitude of a falling rock seconds after it is dropped is calculated from
the polynomial . Find the altitude of the rock 2 seconds
after it is dropped.
a. 78 feet b. 136 feet c. 264 feet d. 164 feet
_____ 27. Find the equivalent expression for: .
a. b. . c. 1.1 10 d. 1.1 10
_____ 28. A rectangle has a length which is 3 more than its width. Write a polynomial
which expresses the perimeter of this rectangle in terms of the width .
a. b. c. d.
_____ 29. Perform the indicated operations and simplify:
a. b. c. d.
_____ 30. Perform the indicated operation and simplify:
a. b c. d.
Dugopolski’s 11College Algebra
Chapter P Test — Form F Name: ________________________
A. True or False:
_____ 1. is a real number.
_____ 2. All integers are rational numbers.
_____ 3.
_____ 4.
_____ 5.
_____ 6.
_____ 7. Every real number is a either rational or irrational.
_____ 8. 0.000235 10 = 2.35 10
_____ 9.
_____ 10. For all real numbers :
B. Multiple Choice. Choose the best answer:
_____ 11. Evaluate: .
a. b. c. d.
_____ 12. Evaluate: .
3 ( )
a. 2 b. 9 c. 15 d. 10
_____ 13. Rationalize the denominator and simplify: .
2 3
2 3
a. b. c. 11 6 d.
1
5 7
_____ 14. Simplify: ( 8) .
a. b. c. d. 4
6 6
_____ 15. Simplify: 12
a. b. 6 c. d.
6 6 6
_____ 16. Simplify:
a. c.
b. d.
_____ 17. Expand and simplify:
a. c.
b. d.
_____ 18. Simplify: 1
a. b. c. d.
1
12 Form PF
_____ 19. Simplify:
a. b. c. d.
_____ 20. Simplify:
a. b. c. d.
_____ 21. Factor completely:
a. ( ) c. ( )
b. ( ) d. ( )( )
_____ 22. Factor completely:
a. c.
b. d. ( )( )
_____ 23. Factor completely:
a. ( )( ) c. ( )( )
b. ( )( ) d. Prime, not factorable
_____ 24. Simplify: ( + )( ).
a. 5 2 b. 5 4 c. 9 2 d. 1 2
_____ 25. Simplify:
a. b. c. d.
_____ 26. Find the equivalent expression for:
a. 5 10 b. 0.5 c. 5 10 d. 5 10
9
_____ 27. A triangle has a base which is 3 more than its height. Write a polynomial
which expresses the area of this triangle.
a. c.
b. d.
_____ 28. Evaluate the expression for the values , , .
a. b. c. d.
_____ 29. Perform the indicated operation and simplify:
a. b c. d.
_____ 30. Perform the indicated operation and simplify:
a. b. c. d.
Dugopolski’s 111College Algebra
Chapter Test Keys
CHAPTER P
112 Chapter P Test Key