Download Simplify each expression. 2. ANSWER: 4. ANSWER: 6. ANSWER: 8

18. ANSWER: 10-3 Operations with Radical Expressions
Simplify each expression.
20. 2. ANSWER: ANSWER: 22. 4. ANSWER: ANSWER: 24. 6. ANSWER: ANSWER: 26. GEOMETRY Find the perimeter and area of a
8. and a length of
rectangle with a width of
ANSWER: .
ANSWER: 2
10. units; 12 units
ANSWER: 96
Simplify each expression.
28. 12. ANSWER: ANSWER: Simplify each expression.
14. 30. ANSWER: ANSWER: 16. 32. ANSWER: ANSWER: 18. ANSWER: 34. FINANCIAL LITERACY Tadi invests $225 in a
savings account. In two years, Tadi has $232 in his
account. You can use the formula
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20. ANSWER: to find the average annual interest rate r that the Page 1
account has earned. The initial investment is v0 and
Sample answer:
32. simplify
ANSWER: 10-3 Operations with Radical Expressions
to find the average annual interest rate r that the
account has earned. The initial investment is v0 and
. When you simplify
ANSWER: about 1.5%
36. CHALLENGE Determine whether the following
statement is true or false . Provide a proof or
counterexample to support your answer.
when x > 0 and y > 0
ANSWER: True; have
40. SHORT RESPONSE The population of a town is
13,000 and is increasing by about 250 people per
year. This can be represented by the equation p =
13,000 + 250y, where y is the number of years from
now and p represents the population. In how many
years will the population of the town be 14,500?
ANSWER: 6 years
v2 is the amount in two years. What was the average
annual interest rate that Tadi’s account earned?
x +y >
, you get
, you get
. Because
and
the same radicand, you can add them.
34. FINANCIAL LITERACY Tadi invests $225 in a
savings account. In two years, Tadi has $232 in his
account. You can use the formula
; When you
42. Evaluate
F 4; 4
G 4; 2
H 2; 4
J 2; 2
and
for n = 25.
ANSWER: G
Simplify.
44. ANSWER: Because x > 0 and y > 0, 2xy > 0 is always true.
So,
is true for all x > 0 and y >
0.
38. OPEN ENDED Write an equation that shows a
sum of two radicals with different radicands. Explain
how you could combine these terms.
46. ANSWER: 48. ANSWER: ANSWER: Sample answer:
simplify
; When you
, you get
. When you simplify
, you get
. Because
and
the same radicand, you can add them.
40. SHORT RESPONSE The population of a town is
13,000 and is increasing by about 250 people per
year. This can be represented by the equation p =
13,000 + 250y, where y is the number of years from
now and p represents the population. In how many
years will the population of the town be 14,500?
ANSWER: 6 years
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42. Evaluate
and
Graph each function. Compare to the parent
graph. State the domain and range.
have
50. ANSWER: stretched vertically;
D = {x | x ≥ 0},
R = {y | y ≥ 0}
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for n = 25.
48. ANSWER: 10-3 Operations with Radical Expressions
Graph each function. Compare to the parent
graph. State the domain and range.
54. ANSWER: translated up 3;
D = {x|x ≥ 0},
R = {y|y ≥ 3}
50. ANSWER: stretched vertically;
D = {x | x ≥ 0},
R = {y | y ≥ 0}
Factor each trinomial.
2
56. x + 12x + 27
ANSWER: (x + 3)(x + 9)
52. ANSWER: translated left 1;
D = {x|x ≥ −1},
R = {y|y ≥ 0}
2
58. p − 17p + 72
ANSWER: (p − 8)(p − 9)
2
60. y − y − 42
ANSWER: (y − 7)(y + 6)
62. FINANCIAL LITERACY Determine the value of
an investment if $400 is invested at an interest rate of
7.25% compounded quarterly for 7 years.
ANSWER: $661.44
54. ANSWER: translated up 3;
D = {x|x ≥ 0},
R = {y|y ≥ 3}
Solve each equation. Round each solution to the
nearest tenth, if necessary.
64. −2.6q − 33.7 = 84.1
ANSWER: −45.3
66. eSolutions Manual - Powered by Cognero
ANSWER: −80
68. 3.6t + 6 − 2.5t = 8
Factor each trinomial.
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nearest tenth, if necessary.
64. −2.6q − 33.7 = 84.1
ANSWER: 10-3 Operations with Radical Expressions
−45.3
66. ANSWER: −80
68. 3.6t + 6 − 2.5t = 8
ANSWER: 1.8
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