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Worksheet Section 7.5, 7.7, & 8.1 v01
Name: __________________________ Date: _____________
1. Simplify:
5 x − 80 x
2. Simplify:
216a − 125a
3. Simplify: 3 162 + 3 48
Dressler Math 098 W 09
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Worksheet Section 7.5, 7.7, & 8.1 v01
4. Simplify: 2 3 2a 4 − 3a 3 16a
5. Simplify: 4 3 x11 y13 − 3 xy 3 x8 y10
6. Simplify: 2 2048 x 2 y 3 − xy 338 y
7. Simplify: 6a 4 16ab5 + 4b 4 256a 5b
Dressler Math 098 W 09
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Worksheet Section 7.5, 7.7, & 8.1 v01
8. Simplify:
4 x11 y 9 + 9 x 2 x 7 y 9 − 5 xy x 9 y 7
9. Simplify: 3a 3a 3b + 2a 2 48ab − 4 27a5b
10. Simplify: 2 3 192 x 3 y 4 + 4 x 3 648 y 4 + 3 y 3 192 x 3 y
Dressler Math 098 W 09
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Worksheet Section 7.5, 7.7, & 8.1 v01
11. Simplify: 6 y 4 48 x17 − 2 x 4 243 x13 y 4 − 4 4 3 x17 y 4
12. Simplify: 18a 3a − a a
13. Simplify:
8
(
512 − 8
)
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Worksheet Section 7.5, 7.7, & 8.1 v01
14. Simplify:
5x
(
750 x − 15
(
)(
(
)(
)
15. Simplify: 9 – 9 20 4 – 20
)
16. Simplify: 8 2 – 3 3 2 – 6 3
)
Dressler Math 098 W 09
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Worksheet Section 7.5, 7.7, & 8.1 v01
17. Simplify: 4 3 + 6
(
)
18. Solve and check:
w = 10
2
19. Solve and check: 13w = 18
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Worksheet Section 7.5, 7.7, & 8.1 v01
20. Solve and check:
5 z – 5 = 13
21. Solve and check:
4q – 3 = 0
22. Solve and check:
x 2 + 10 = x + 9
23. Solve the following equation:
8 x + 17 − 8 x = 1
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Worksheet Section 7.5, 7.7, & 8.1 v01
24. Solve the following equation:
25. Solve and check:
x + x+5 = 2
w − 5 − w − 10 = 1
26. Solve the following equation:
x + x +1 = 3
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Worksheet Section 7.5, 7.7, & 8.1 v01
27. Solve the following equation:
3
4 x = –3
28. Solve the following equation:
3
6 x + 7 – 3 = –5
29. Solve the following equation:
5 x + 3 = 10 x − 5
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Worksheet Section 7.5, 7.7, & 8.1 v01
30. Solve the following equation: 4 13 x + 1 = 2
31. Solve the following equation:
3
8 x – 6 = –2
32. Solve the following equation:
3
x − 12 = 3 7 x + 24
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Worksheet Section 7.5, 7.7, & 8.1 v01
33. Write the rule for the sequence using f ( x ) = 2 x ± a
1, 2, 4, 8, 16
⎛1⎞
34. Write the rule for the sequence using f ( x ) = ⎜ ⎟
⎝2⎠
1
8, 4, 2, 1,
2
⎛1⎞
35. Write the rule for the sequence using f ( x ) = ⎜ ⎟
⎝3⎠
1
1
1
1
,
,
,
81 243 729 2187
Dressler Math 098 W 09
x±a
x±a
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Worksheet Section 7.5, 7.7, & 8.1 v01
36. Find the expression for the nth term, an, of the sequence.
40, 80, 160, 320
37. Find the expression for the nth term, an, of the sequence.
2, 4, 8, 16
38. Find the expression for the nth term, an, of the sequence.
32, 16, 8, 4
Dressler Math 098 W 09
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Worksheet Section 7.5, 7.7, & 8.1 v01
Dressler Math 098 W 09
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Worksheet Section 7.5, 7.7, & 8.1 v01
Answer Key
1.
2.
3.
4.
–3 5x
6 6 a − 5 5a
53 6
–4a 3 2a
5. x 3 y 4 3 x 2 y
6. 51xy 2 y
7. 28ab 4 ab
8. 6x5 y 4 xy
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
– a 2 3ab
None of the above
2 x 4 y 4 3x
None of the above
56
25 x 6 − 5 3 x
216 – 90 5
66 – 51 6
84 + 48 3
100
324
13
324
5
3
4
71
–
18
8
No solution
14
16
9
27
–
4
5
–
2
8
5
Dressler Math 098 W 09
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Worksheet Section 7.5, 7.7, & 8.1 v01
15
13
1
31. –
4
32. –6
30.
33. f ( x ) = 2 x – 1
⎛1⎞
34. f ( x ) = ⎜ ⎟
⎝2⎠
⎛1⎞
35. f ( x ) = ⎜ ⎟
⎝3⎠
x−4
x+3
36. an = 10 • 2n + 1
37. an = 1 • 2n
⎛1⎞
38. an = 32 ⎜ ⎟
⎝2⎠
n−1
Dressler Math 098 W 09
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