Download ch11_quiz

Lesson Quizzes
Preview
11-1 Square-Root Functions
11-2 Radical Expressions
11-3 Adding and Subtracting Radical Expressions
11-4 Multiplying and Dividing Radical Expressions
11-5 Solving Radical Equations
11-6 Geometric Sequences
11-7 Exponential Functions
11-8 Exponential Growth and Decay
11-9 Linear, Quadratic, and Exponential Models
11-1 Square-Root Functions
Lesson Quiz: Part I
1. Use the formula
to find the radius of a circle
whose area is 28 in2. Use 3.14 for . Round your
answer to the nearest tenth of an inch. 3.0 in.
Find the domain of each square-root function.
2.
x≥0
3.
4.
x≥5
11-1 Square-Root Functions
Lesson Quiz: Part II
Graph each square-root function.
5.
6.
11-2 Radical Expressions
Lesson Quiz: Part I
Simplify each expression.
1.
2.
6
|x + 5|
Simplify. All variables represent nonnegative
numbers.
3.
4.
5.
6.
11-2 Radical Expressions
Lesson Quiz: Part II
7. Two archaeologists leave from
the same campsite. One
travels 10 miles due north
and the other travels 6 miles
due west. How far apart are
the archaeologists? Give the
answer as a radical
expression in simplest form.
Then estimate the distance to
the nearest tenth of a mile.
mi; 11.7 mi
11-3 Adding and Subtracting Radical Expressions
Lesson Quiz: Part I
Add or subtract.
1.
2.
3.
Simplify each expression.
4.
5.
11-3 Adding and Subtracting Radical Expressions
Lesson Quiz: Part II
6. Find the perimeter of the trapezoid. Give the
answer as a radical expression in simplest form.
ft
11-4 Multiplying and Dividing Radical Expressions
Lesson Quiz
Multiply. Write each product in simplest form.
All variables represent nonnegative numbers.
1.
2.
3.
4.
5.
6.
7.
Simplify each quotient. All variables represent
nonnegative numbers.
8.
9.
11-5 Solving Radical Equations
Lesson Quiz
Solve each equation. Check your answer.
1.
2.
36
3.
4.
ø
5.
45
4
6.
11
4
7. A triangle has an area of 48 square feet, its base
is 6 feet, and its height is
feet. What is the
value of x? What is the height of the triangle?
253; 16 ft
11-6 Geometric Sequences
Lesson Quiz: Part I
Find the next three terms in each geometric
sequence.
1. 3, 15, 75, 375,…
1875; 9375; 46,875
2.
3. The first term of a geometric sequence is 300
and the common ratio is 0.6. What is the 7th
term of the sequence? 13.9968
4. What is the 15th term of the sequence 4, –8, 16,
–32, 64, …? 65,536
11-6 Geometric Sequences
Lesson Quiz: Part II
5. The table shows a car’s value for three years
after it is purchased. The values form a
geometric sequence. How much will the car be
worth after 8 years?
$5770.39
Year
1
2
3
Value ($)
18,000
15,300
13,005
11-7 Exponential Functions
Lesson Quiz: Part I
Tell whether each set of ordered pairs satisfies
an exponential function. Explain your answer.
1. {(0, 0), (1, –2), (2, –16), (3, –54)}
No; for a constant change in x, y is not multiplied
by the same value.
2. {(0,–5), (1, –2.5), (2, –1.25), (3, –0.625)}
Yes; for a constant change in x, y is multiplied by
the same value.
11-7 Exponential Functions
Lesson Quiz: Part II
3. Graph y = –0.5(3)x.
11-7 Exponential Functions
Lesson Quiz: Part III
4. The function y = 11.6(1.009)x models residential
energy consumption in quadrillion Btu where x is
the number of years after 2003. What will
residential energy consumption be in 2013?
 12.7 quadrillion Btu
5. In 2000, the population of Texas was about 21
million, and it was growing by about 2% per
year. At this growth rate, the function
f(x) = 21(1.02)x gives the population, in
millions, x years after 2000. Using this model,
in about what year will the population reach 30
million? 2018
11-8 Exponential Growth and Decay
Lesson Quiz: Part I
1. The number of employees at a certain company
is 1440 and is increasing at a rate of 1.5% per
year. Write an exponential growth function to
model this situation. Then find the number of
employees in the company after 9 years.
y = 1440(1.015)t; 1646
Write a compound interest function to model
each situation. Then find the balance after the
given number of years.
2. $12,000 invested at a rate of 6% compounded
quarterly; 15 years
A = 12,000(1.015)4t, $29,318.64
11-8 Exponential Growth and Decay
Lesson Quiz: Part II
3. $500 invested at a rate of 2.5% compounded
annually; 10 years A = 500(1.025)t; $640.04
4. The deer population of a game preserve is
decreasing by 2% per year. The original
population was 1850. Write an exponential
decay function to model the situation. Then find
the population after 4 years.
y = 1850(0.98)t; 1706
5. Iodine-131 has a half-life of about 8 days. Find
the amount left from a 30-gram sample of
Iodine-131 after 40 days. 0.9375 g
11-9 Linear, Quadratic, and Exponential Models
Lesson Quiz: Part I
Which kind of model best describes each set of
data?
1.
2.
quadratic
exponential
11-9 Linear, Quadratic, and Exponential Models
Lesson Quiz: Part II
3. Use the data in the table to describe how the
amount of water is changing. Then write a
function that models the data. Use your
function to predict the amount of water in the
pool after 3 hours.
Increasing by 15
gal every 10 min;
y = 1.5x + 312;
582 gal