Download Chapter 05 Review AK.qxd

Name
Date
Exponents and Polynomials
Write the letter of the correct answer.
1. Simplify (x6)3. C
A x9
C x18
B x3
D x2
2. Simplify [(a b)3]2. D
3
A (a b) 2
C (a b)1
B (a b)5
D (a b)6
45
4
3. Find the quotient of 4 . A
A 4
C 1
1
B 1 4
D 64
4. Find the quotient of (4x 2y)5 (4x 2y)7, 4x 2y 0. C
A (4x 2y)2
C (4x 2y)2
B (4x D (4x 2y)
2y)12
5
7
5. What is 4,000,000,000 in scientific notation? B
A 4.0 • 108
C 409
B 4.0 • 109
D 4.0 • 1010
6. What is 3.14(104) in standard notation? B
A 31,400
C 0.00314
B 0.000314
D 3.000014
© 2004 by CompassLearning, Inc.
© by AGS Publishing. Permission is granted to reproduce for classroom use only.
Chapter 5 Review
Name
Date
Exponents and Polynomials (continued)
Find the sum, difference, product, or quotient.
Write your answer in scientific notation.
Example: 2(103) 2(103)
Solution: 2(103) 2(103) 4(103)
7. 3.1(10–4) 4.2(10–4)
7.3(10–4)
8. 4.7(10–2) 3.6(10–2)
1.1(10–2)
9. 1.3(10–6) • 4.2(10–4) • 1.9(102) 1.0374(10–7)
10. 8.58(10–4) 4.29(10–4)
2.0
11. 0.2825(10–6) 1.13(102)
2.5(10–9)
Find the sum and the difference for each pair of polynomials.
Example:
Subtract
x2 2y 2
x2 y 1
Solution: Add
x2 2y 2
2 y 1
x
2x2 y 3
x2 2y 2
x2 2y 2
– (x2 y 1) (1)(x2 y 1) x2 2y 2
2
x
y
1
3y 1
12. 3y 5 2y 3 1y 3
15. m5 m3 5
4y 5 5y 3 7y 8
m4 m2 5
13. 2x 4 4x 3 6x 2 8x 10
3x 4 5x 3 7
16. 4x 4 + 8x3 + 16x 2 + 4
4x 3 + 2x 2 + 16x
14. b4 4b3 6b2 4b 1
3b4 3b3 5b2 4b
12. 7y 5 7y 3 6y 5; y 5 3y 3 8y 11
13. 5x 4 x 3 6x 2 8x 17; x 4 9x 3 6x 2 8x 3
14. 2b 4 b 3 11b 2 1; 4b 4 7b 3 b 2 8b 1
15. m 5 m 4 m 3 m 2; m 5 m 4 m 3 m 2 10
16. 4x 4 12x 3 18x 2 16x 4; 4x 4 4x 3 14x 2 16x 4
© 2004 by CompassLearning, Inc.
© by AGS Publishing. Permission is granted to reproduce for classroom use only.
Chapter 5 Review
Name
Date
Exponents and Polynomials (continued)
17. 18x 4 2x 3 14x 2
Find the product.
Example: (x 2)(x 2)
Solution: (x 2)(x 2) = x(x 2) 2(x 2)
x2 4x 4
17. 2x 2(9x 2 x 7)
21. (4x 3)(x 2)
18. (x 3)(9x 4)
22. (m3 m2)2
19. (4y 2 + 4)(–3y – 3)
23. (m4 5)(2m3 3m2 2)
20. (x + 5)(x + 4)
10x2 20x 5
19. 12y 3 12y 2 12y 12
20. x 2 9x 20
21. 4x 2 5x 6
22. m 6 2m 5 m 4
Find the quotients. Identify any remainder. Use multiplication
to check your answer.
Example: 5
18. 9x 5 27x 4
2
10x + 20x + 5
Solution: 5 2x2 4x 1
(12y3 18y 36)
6
(30x3 25x2 20x 10)
25. 5
(p2 2p)2
26. (p2 2p)
(3x2 6x)
27. x(x 2)
24. 23. 2m 7 3m 6 2m 4 10m 3 15m 2 10
2y 3 3y 6
6x 3 5x 2 4x 2
p 2 2p
3
2
28. (33x3 24x 2 18x 12) 3x 11x 8x 6 r–12
29. (x3 49x) (x 7)
(x 2 7x) or x(x 7)
30. (5x – 1)15
x3
3x
12
8x
1
4 3x 2 – 2x – 4
Test-Taking Tip: When you study for chapter tests, practice the
step-by-step formulas and procedures.
© 2004 by CompassLearning, Inc.
© by AGS Publishing. Permission is granted to reproduce for classroom use only.
Chapter 5 Review