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7.1-7.3 Quiz Review
Name:_____________________________
Hour:______
Algebra II
Simplify the radical expression. You may use a calculator when possible, but remember if
you get a decimal, YOU MUST SIMPLIFY!!!
1.
3
24
2.
4.
3
8x 5
5.
7.
3
16x 6
8.
10.
13.
3
9  3 6
11.
288
14.
2
4
4
81
3.
4
625x 5
x4 y3
6.
4
32 x 8 y 12
16x 6
9.
3
64 x 3 y 9
3
8 2
12.
8
27
15.
5
64x  5 16x 4
16 x 2
9
Simplify the rational exponent expression. You may use a calculator when possible!
16. 36
3
2
17. 27
1
3
19. 7  7
8
3
21. 8x 3
1
3
1
3
2
2x 2
4x
4
3
 2 4
23.  9 3 
 
 
1
25.
 8 3
18.  
 27 
20. x  x
43
4
2
2
3
2
3
2
22.


26.
1
2
 1 3 
24.  x 2  x 2 


11
1
8a 3 b 6
1
3
2a b

27.
2
6
3
x 5 y2
1
5
x y
Perform the indicated operation.
28. 7 5  4 5
3
3
3
5
29.  x  5x
3
5
1
2
30. 5 x  6 x
Rewrite the expression using rational exponents.
31.
3
7
32.
 21
3
7
Rewrite the expression using radicals.
33. 6
7
5
34. 33
2
3
1
2
3
Solve the equation. All work MUST be shown!
35.
x 3  512
38. 5 x  1 2  2  7
1
36.
2 x 2  64
37.
x  55  1024
40.
3 x 3  2  4
1
3
39. x 4  9  18
Solve the following equations. Be sure to check your solutions!
41.
44.
4
x  3  12
42. 5 3x  15
x  1  1
45.
x  3  2x  7
46.
3x  5 x  1  0
48.
5x  24  x
49.
2x  7  x  2
47. x  3x  10
43.
3
2x  7  5
Answers to 7.1-7.3 Review
1. 23 3
2. 3
9. 4xy 3
4
18.
9
10.  33 2
19. 343
28. 33 5
36.  4 2
46.
1
2
3. 5x 4 x
4. 2 x3 x 2
11. 4
20. x
2
12. 4x
21. 2x
1
3
5. x 2 y y
13. 12
22. 4
1
3
6. 2 x 2 y 3 4 2
14.
23. 3
3
1
1
3
29. 4x 5
30. 11x 2
31. 7 3
32. 21 7
37. 1
47. 5
38.
48. 8
24
5
49. 1
39. 81
40. 
8
27
2
3
4x
3
15.
24. x
33.
41. 81
7. 2x 2 3 2
 6
5
16. 216
x
25.
2
3
7
42. 3
8. 2 x 4 x 2
17.
1
9
1
3
1
2
26. 4a b
34.
43. 59
 33 
3
2
44. 16
1
27. x 2 y 2
35. 8
45. 4