Activity Sheet 1
1 – 4. Rewrite each expression with positive exponents and simplify.
1.
a b 3ab 
3.
 x 3  x 

 
y

 y 
2
2 4
2.
34 m 1n 3
9 2 mn 3
4.
36u 3v 3
12u  2v
1
(P.2)
5 – 8. Simplify each expression.
(P.2)
5.
(a)
3
272
(b)
493
6.
(a)
3
64
125
(b)
81
100
7.
(a)

8.
(a)
3
3
216

3
2x 3
27
(b)
4
324
(b)
5
64x6
9 – 10. Simplify each expression.
9.
50  18
(P.2)
10.
2 32  3 72
11 – 14. Rationalize the denominator of each expression. Then simplify.
11.
13.
3
4 3
1
2 3
12.
5
50
14.
1
5 1
15 – 16. Simplify each expression.
15.
163 / 2
(P.2)
16.
64 2 / 3
17 – 20. Perform the operation and write the result in standard form.

(P.2)


17.
 3x 2  2 x  1  5 x 

18.
8 y  2 y 2  3 y  8
19.
8  3x  2
20.
 2 x x2  5x  6


(P.3)
21 – 22. Add or subtract as indicated. Simplify.


(P.3)

21.
Add 2 x3  5 x 2  10 x  7 and 4 x 2  5 x 2  10 x  7
22.
Subtract 9 x 4  11x 2  16 from 6 x 4  20 x 2  2

23 – 28. Find the product.
23.
3x  65x  1
24.
6x  56x  5
25.
2 x  32
26.

27.
x  3x2  3x  9
28.
x  33
52

52

29 – 38. Factor completely
(P.4)
29.
x3  x
30.
xx  3  4x  3
31.
25 x 2  49
32.
x 2  12 x  36
33.
x 3  64
34.
8 x 3  27
35.
2 x 2  21x  10
36.
3x 2  14 x  8
37.
x3  x 2  2 x  2
38.
x3  4 x 2  2 x  8
39 – 40. Write the rational expression in simplest form.
39.
x 2  64
15 x  120
40.
x3  27
x2  x  6
41 – 44. Perform the indicated operation and simplify.
41.
x2  4
x2  2

x4  2x2  8 x2
43.
1
1 x
 2
x 1 x  x 1
42.
4x  6
2 x 2  3x

x  12 x 2  2 x  3
44.
3x
4x2  5

x  2 2 x 2  3x  2
45 – 46. Plot the points and find the distance between them.
45.
2, 3, 5,  1
46.
2, 3, 12,  1
48.
(P.5)
(P.6)
 2, 6, 4,  3
47 – 48. Find the midpoint of the line segments joining the points.
47.
(P.5)
 11, 6, 5,  2
Now try the Practice Test for Chapter P, Page 71, #4 – 18 (skip #15 and #17).
(P.6)