Download Simplify each expression. 11. x ⋅ x ⋅ x ANSWER: x 12. (2xy)( −3x y

3 3
18. (2x )
ANSWER: Study Guide and Review - Chapter 7
4x
2
Simplify each expression.
3
11. x ⋅ x ⋅ x
9
19. GEOMETRY Use the formula V = πr h to find the
volume of the cylinder.
5
ANSWER: x
9
2 5
12. (2xy)( −3x y )
ANSWER: ANSWER: 45πx
3 6
−6x y
4
4
Simplify each expression. Assume that no
denominator equals zero.
5 2
13. (−4ab )(−5a b )
ANSWER: 20. 6 6
20a b
ANSWER: 3 2 2
14. (6x y )
ANSWER: 6 4
36x y
3 3 2
21. 15. [(2r t) ]
ANSWER: ANSWER: 18 6
64r t
3
16. (−2u )(5u)
ANSWER: −10u
4
2 3
22. 3 3
17. (2x ) (x )
ANSWER: 4y
ANSWER: 8x
15
−3 0 6
23. a b c
ANSWER: 3 3
18. (2x )
ANSWER: 4x
9
2
24. 19. GEOMETRY Use the formula V = πr h to find the
volume of the cylinder.
ANSWER: 25. ANSWER: eSolutions
Manual - Powered by Cognero
45πx
4
Page 1
ANSWER: 6
ANSWER: 31. ANSWER: 5
Study Guide and Review - Chapter 7
25. 32. ANSWER: ANSWER: x
6
33. 26. ANSWER: 64
ANSWER: 1
34. ANSWER: 4
27. ANSWER: 35. ANSWER: 2401
2 4
28. GEOMETRY The area of a rectangle is 25x y
square feet. The width of the rectangle is 5xy feet.
What is the length of the rectangle?
36. ANSWER: ANSWER: 3
5xy ft
Simplify.
Solve each equation.
x
37. 6 = 7776
ANSWER: 5
29. 4x – 1
ANSWER: 7
38. 4
ANSWER: 3
Graph each function. Find the y-intercept, and
state the domain and range.
x
42. y = 2
= 32
ANSWER: 30. 31. ANSWER: 5
ANSWER: 1; D = all real numbers;
R = {y| y > 0}
32. ANSWER: eSolutions Manual - Powered by Cognero
Page 2
4x – 1
38. 4
= 32
ANSWER: Study Guide and Review - Chapter 7
Graph each function. Find the y-intercept, and
state the domain and range.
x
42. y = 2
ANSWER: 1; D = all real numbers;
R = {y| y > 0}
x
43. y = 3 + 1
ANSWER: 2; D = all real numbers;
R = {y| y >1}
x
45. y = 2 − 3
ANSWER: −2; D = all real numbers;
R = {y| y > −3}
46. BIOLOGY The population of bacteria in a petri
dish increases according to the model p = 550(2.7)
0.008t
, where t is the number of hours and t = 0
corresponds to 1:00 P.M. Use this model to estimate
the number of bacteria in the dish at 5:00 P.M.
ANSWER: about 568
47. Find the final value of $2500 invested at an interest
rate of 2% compounded monthly for 10 years.
ANSWER: $3053.00
x
44. y = 4 + 2
ANSWER: 3; D = all real numbers;
R = {y| y > 2}
48. COMPUTERS Zita’s computer is depreciating at a
rate of 3% per year. She bought the computer for
$1200.
a. Write an equation to represent this situation.
b. What will the computer’s value be after 5 years?
ANSWER: t
a. 1200(1 − 0.03)
b. $1030.48
x
45. y = 2 − 3
eSolutions Manual - Powered by Cognero
ANSWER: −2; D = all real numbers;
R = {y| y > −3}
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