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College Algebra Practice Materials
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COMALGE PRACTICE EXERCISES 1 I. Know the structure of the real number system ( rational, irrational, integers, natural numbers, decimals) Know also the properties of real numbers. II. Perform the indicated operations
1. Add and 2. Subtract 2a + 2b – 4c from the sum of 4a – 7b + 12c and 5b – 3c 3. 9x – ( 2y – 3x) – { y – ( 2y x) } – [ 2y + 2 ( 4x 3y) ]
4.
5. a. b. c. d. (25)(27)(22) e. (3s5t4)6 f. (5m1n4)3(n3m2)7
6. a. b. c. .
7. a. b. c. d.
e. f. g.
8. a. 3xy( 2x –3y ) ( x + 5y ) b.
9. a. b.
10.
11. a. Divide by 2x + 3 b. Divide by 2x 1
12. a. Divide by x + 2 b. Divide 16a4n 64a10n by 2a3n
13. a. Divide by b. Divide by 14. a. Divide x3 + y3 by x – 2y b. Divide 4x2 6xy 3y2 by 2x + 3y c. Divide 3z3 11z2x 18zx2 6x3 by z 5x
III. Use special product formulas to find the following. 1. ( 7x + 3y ) ( 2x – 4y) 12. ( 6m + 5n) ( 6m + 5n )
2. ( 2mn – 3r) ( 5mn + 2r ) 13.
3. 14.
4. 15.
5. 16.
6. 17.
7. 18.
8. 19. 9. ( 4x 3y) ( 4x + 3y) 20. [ 2( x + y) – 5] [ 3 ( x + y) + 4 ]
10. 21.
11. 22.
IV. Factor the following completely.
1. 16.
2. 17.
3. 3y (2x + 5) – 4x (2x + 5) 18.
4. 19.
5. 20.
6. 21.
7. 22.
8. 23.
9. 24.
10. 25.
11. 26.
12. 27.
13. 28.
14. 29.
15. 30.
V. Reduce the ff fractions to lowest terms.
1. 2. 3. 4. VI. Perform the indicated operations
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. 16. 17.
18. 19. 20. 21. VII. Simplify the ff expressions
1. 2. 3.
4. 5. 6. 7.
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