Download Chapter 10 Test

MATH 1030 – Chapter 10 REVIEW
Name: ____________________________
Complete the following problems writing neatly and clearly. Show complete work for full credit as directed by your
instructor. If you use another sheet of paper please be sure to number your problems.
1 – 3. Concept and vocabulary check. Fill in each blank so that the resulting statements are true.
1. If a and b are real numbers, then a ⋅ b = ____________________.
2. Two or more radical expressions that have the same indices and the same radicands are called
_________ radicals.
3. The square root of a negative number is an ______________ number.
4 – 7. Simplify each expression.
4.
75x9
5.
45x 22
6.
3
64
7.
4
81
8 – 11. Find the indicated function values and round to 2 decimal places if necessary. f ( x) =
8. f (15)
5
2
10. f  
9. f (4)
14 – 15. Graph using a table of values.
14.
11. f (1)
12. f ( x ) =
12 – 13. Find the domain and write in interval notation.
x−2
16. 16
16 – 17. Simplify by first writing the expression in radical form.
13. 100 − 4x
x−2
12 − 4x
15.
18 – 19. Rewrite each expression with rational exponents. 18.
2x − 5
7x
1
2
19.
17. 64
(
3
19xy
)
2
3
5
20 – 33. Perform the indicated operation and simplify if possible.
20.
3 ⋅ 12
21.
25. 2 80 + 3 45
28.
31.
3
(
6 − 12
2
3x ⋅ 4 x
3
22.
200
2
23.
26. 2 18 x + 3 27 x − 12 x
)
(
32. (
29. 1 + 3 7
( 2 + 7 )( 2 − 7 )
11 −
30
5
x3
100 y 4
24.
x3
10
27.
)( 4 − 7 )
5 )( 11 + 5 )
34 - 26. Rationalize the Denominator and simplify if possible. 34.
72x 7
30.
(
33.
(2
(
5+ 6
3+2
)(
3 − 10
35.
2
3
40.
x +1 + 5 = x
36.
)
6−4
)
)
2
7
5+ 3
37 – 40. Solve each radical equation
37.
x+3 = 4
38.
2x + 3 − 5 = 0
39.
5x + 1 = x + 1
41 – 42. According to the Centers for Disease Control and Prevention, the average adult is 23 pounds over-weight and
collectively we are 4.6 billion pounds overweight. The function f ( x ) = 3.5 x + 15 models the percentage of obese
American adults, f(x), x years after 980.
41. Find and interpret f(30).
42. According to the model, in which year will 36% of adults be obese?
08/21/15 2:35 PM