Chapter 11 Practice Test Questions
The following questions could be used in a Chapter 11 Test
Choose the best answer.
Kasey can mow the lawn five minutes faster than Trisha. If Kasey mows the lawn in k minutes, which expression could be used to show how long it takes Trisha to mow the lawn?
Which number
is closest to
Evaluate 5x + 4(3 – x) for x = 2.
The perimeter of a rectangle is 50 in. If the length is 10 in., what is the width?
Solve the following equation. 4m - 3 + 8 = 1 - 2m - 2
Which proportion can be used to find 110% of 75?
Which of the following graphs describe the inequality -4 < x ?
Solve
Jake’s band is putting on a concert. He has to sell at least 175 tickets in order to rent an auditorium. The auditorium he booked can hold 325 people. If he has already sold 145 tickets, how many more tickets t should he sell?
For which situation would the graph consist of distinct points?
the altitude of a plane from takeoff to landing
the amount of money earned based on the number of pizzas sold
the amount of water in a sink as it is being drained
the temperature of soup as it sits on the stove and cooks
Which of the following relations can NOT be a function?
Which of these
points is NOT on the graph of 
What is the 10th term of the arithmetic sequence below?
-13, -7, -1, 5 ...
Find the x- and y-intercepts of 5y - 3x = 15.
A line passes though the points (-3, 5) and (7, 5). What type of slope does it have?
3 months of cell phone service cost $89.85, and 8 months cost $239.60. How much would 14 months of service cost?
Which of the lines below is perpendicular to the line y + x = 4?
Which ordered pair is a solution of y = 0.5x + 2 and -y = 3 - x?
Which of the following systems has infinitely many solutions?
Which of the
following best describes the graph of
on
the coordinate plane?
The boundary line is dashed, and the shading is to the right.
The boundary line is dashed, and the shading is to the left.
The boundary line is solid, and the shading is to the right.
The boundary line is solid, and the shading is to the left.
The Earth has
a mass of 
kg
and the Moon has a mass of 
kg.
If a new planet is discovered that has a mass of
kg,
what is the order from lightest to heaviest?
A New planet, Moon, Earth
B Moon, New planet, Earth
C Moon, Earth, New planet
D Earth, Moon, New planet
A square has
side length 
What
is the area of this square?
In the picture
below, 
ABC
measures 
degrees.
If ABD
measures 
degrees,
what is the measure of DBC?
Multiply
Which of the following pairs of terms have a greatest common factor of 1?
Which polynomial can be factored by grouping?
Which of the
following is a factorization of the polynomial
?
Chuck wants to draw a “mountain” using his graphing calculator. Which of the following equations should he use?
Solve
What best
describes the solutions of 
On a balance lever, weight varies inversely as the distance from the fulcrum to the weight. An 80-gram weight 2 meters from the fulcrum is balanced with a 20-gram weight. How far is the 20-gram weight from the fulcrum?
Multiply
Solve
What is the
domain of 
Which of the
following is NOT equivalent to 
?
Which
expression shows the product 
in
simplest form? The variable represents a nonnegative number.
The first term of a geometric sequence is 3 and the common ratio is 2. What is the 5th term in the sequence?
Stewart gets $32 for his birthday. He spends half on a new CD and invests the rest at a rate of 4% a year compounded quarterly. Which function models this situation?
The table below describes the population and growth rate for four cities. If the growth rates continue to stay the same, which city will have the highest population next year?
Which type of
model best fits this data: 
Choose the best answer.
What is the domain of
Which graph shows
Simplify
The
variables represent nonnegative numbers.
Simplify
A fence is being built in the shape of a right triangle. Each leg is 30 feet long. What is the measure of the hypotenuse of the triangle?
Simplify
Which shows
simplest
form?
Simplify
Which shows
in
simplest form?
Multiply
Simplify the quotient
Solve
Solve
Solve
Choose the best answer.
Which of the following is a geometric sequence?
The first term of a geometric sequence is -2. The common ratio is 4. What is the 6th term?
If a ball is dropped from a
height of 18 feet, the function 
gives
the height in feet of each bounce, where x is the bounce number. What
will be the height of the 7th bounce to the nearest tenth of a foot?
A population of 200 animals
has a growth rate of 1.03% each year. At this growth rate, the function
gives
the population in x years. In how many years will the population first
reach 300?
The graph of which function is shown below?
$1200 is invested at 3% compounded quarterly. What is the balance, to the nearest dollar, after 5 years?
Chess club earnings are $40 per month and will increase at a rate of 2.5% each month. Which function describes this situation?
Iodine-131 has a half-life of about 8 days. About how much is left from a 50 gram sample after 24 days?
Which of the following data sets is best described by a quadratic model?
The table shows store sales by year. Which function models the data?
Which kind of model best describes the data graphed below?
linear
quadratic
square root
exponential
Find the
domain of 
Which graph
shows 
Simplify
Look at the map below.
Which is the distance between Kensington and Greenwich?
Simplify
The
variable represents a nonnegative number.
Add 
Subtract
Multiply
and
write the product in simplest form.
Multiply
and
write the product in simplest form.
Simplify the
quotient 
Solve
Solve
Choose the best answer.
Find the next three terms in this sequence: 4, 12, 36, 108, ...
The first term of a geometric sequence is 5 and the common ratio is 2. What is the 4th term of the sequence?
Which graph
shows 
The function
models
an insect population after x weeks. To the nearest whole number, what
will the population be after 4 weeks?
Which set of ordered pairs satisfies an exponential function?
The original value of an investment is $950, and the value increases by 15% each year. Find the value of the investment in 8 years.
A new play premiers on Saturday, October 1, and 420 people attend. Attendance then decreases by 30% each day. Find the attendance on Tuesday, October 4.
Determine which kind of model best describes this data set.
{(-2, 1), (-1, 3), (0, 5), (1, 7), (2, 9)}
linear
quadratic
square root
exponential
Find the
domain of 
Which function is graphed below?
Simplify
A 30-foot pole is stabilized by a wire attached to the ground 10 feet from the base of the pole. How long is the wire? Give your answer as a radical expression in simplest form.
Simplify
The
variable represents a nonnegative number.
Add
Subtract
Multiply
and
write the product in simplest form. The variable represents a nonnegative
number.
Multiply
and
write the product in simplest form.
Simplify the
quotient 
Solve
Solve
Select the best answer.
Find the next three terms in this sequence:
5120, 1280, 320, 80, ...
The first term of a geometric sequence is -2 and the common ratio is 3. What is the 12th term of the sequence?
Which graph
shows 
The function
gives
the number of bacteria in a science experiment, where x is the number of
days after the start of the experiment. To the nearest whole number, how many
bacteria will there be after 5 days?
Which set of ordered pairs satisfies an exponential function?
The number of members in a labor union is 240, and the number increases by 5% each year. Find the number of members after 4 years.
Iodine-131 has a half-life of approximately 8 days. Find the amount of iodine-131 left from a 100-gram sample after 16 days.
Determine which kind of model best describes this data set.
{(-2, 1), (-1, 2), (0, 4), (1, 8), (2, 16)}
Find the
domain of 
Which function is graphed below?
Which shows
in
simplest form?
A 20-foot ladder leans against a wall with its base 8 feet from the wall. How high up on the wall does the ladder reach? Give your answer as a radical expression in simplest form.
Simplify
The
variables represent nonnegative numbers.
Add
Subtract
Multiply
and
write the product in simplest form. The variable represents a nonnegative
number.
Multiply
and
write the product in simplest form.
Simplify the
quotient 
Solve
Solve
Choose the best answer.
Find the next three terms in this sequence: 20, -10, 5, -2.5, ...
The first term of a geometric sequence is 8 and the common ratio is 1.3. What is the 5th term of the sequence?
Which graph
shows 
When a certain
ball is dropped, the function 
models
its height in feet after each bounce, where x is the bounce number. To
the nearest hundredth, what is the height after the 3rd bounce?
Which set of ordered pairs satisfies an exponential function?
$2800 is invested at a rate of 3.4% compounded quarterly. Find the balance after 3 years.
A pond has 98 fish, and the population decreases by 5% each day. Find the population after 2 weeks.
Determine which kind of model best describes this data set.
{(-2, 8), (1, 4.5), (0, 2), (1, 0.5), (2, 0)}
Find the
domain of 
Graph
Simplify
On the map below, what is the distance between the Town Hall and the Library? Give your answer as a radical expression in simplest form.
Simplify
The
variable represents a nonnegative number.
Add
Subtract
Multiply
and
write the product in simplest form.
Multiply
and
write the product in simplest form.
Simplify the
quotient 
Solve
Solve
Find the next three terms in this sequence: 5, 15, 45, 135, ...
The first term of a geometric sequence is 2 and the common ratio is 4. What is the 6th term of the sequence?
Graph
(ie
make a table and graph)
The function
models
an insect population after x weeks. To the nearest whole number, what
will the population be after 5 weeks?
Does this set of ordered pairs satisfy an exponential function?
{(-2, 1.25), (-1, 2.5), (0, 5), (1, 10)} Explain.
The original value of an investment is $1100, and the value increases by 12% each year. Write an exponential growth function to model this situation. Then find the value of the investment in 15 years.
A new movie premiers on Friday, September 2, and 1350 people attend. Attendance then decreases by 20% each day. Find the attendance on Wednesday, September 7.
Determine which kind of model—linear, quadratic, exponential, or square-root— best describes this data set.
{(-2, 0.75), (-1, 1.5), (0, 3), (1, 6), (2, 12)}
Find the
domain of 
Graph
Simplify
A 50-foot pole is stabilized by a wire attached to the ground 20 feet from the base of the pole. How long is the wire? Give your answer as a radical expression in simplest form.
Simplify
The
variable represents a nonnegative number.
Subtract
Add
Multiply
and
write the product in simplest form. The variable represents a nonnegative
number.
Multiply
and
write the product in simplest form.
Simplify the
quotient 
Solve
Solve
Find the next three terms in this sequence: 224, 112, 56, 28, ...
The first term of a geometric sequence is 5 and the common ratio is -2. What is the 10th term of the sequence?
Graph
The function
gives
the number of bacteria in a science experiment, where x is the number of
days after the start of the experiment. To the nearest whole number, how many
bacteria will there be after 4 days?
Does this set of ordered pairs satisfy an exponential function?
{(-2, 0.25), (-1, 0.5), (0, 1.5), (1, 6)} Explain.
The number of students at a university is 1320, and the number increases by 8% each year. Write an exponential function to model this situation. Then find about how many students there will be in 5 years.
Bismuth-212 has a half-life of 60.5 minutes. Find the amount of bismuth- 212 left from a 100-gram sample after 242 minutes.
Determine which kind of model—linear, quadratic, exponential, or square-root— best describes this data set. {(-2, -2), (-1, -1), ( 0, 2), (1, 7), (2, 14)}
Find the
domain of
Graph
Simplify
A 15-foot ladder leans against a wall with its base 5 feet from the wall. How high up on the wall does the ladder reach? Give your answer as a radical expression in simplest form
Simplify
The
variables represent nonnegative numbers.
Subtract
Add
Multiply
and
write the product in simplest form. The variable represents a
nonnegative number.
Multiply
and
write the product in simplest form.
Simplify the
quotient 
Solve
Solve
Find the next three terms in this sequence: 6, _24, 96, _384, ...
The first term of a geometric sequence is -10 and the common ratio is 0.5. What is the 5th term of the sequence?
Graph
When a certain
ball is dropped, the function 
models
its height in feet after each bounce, where x is the bounce number. To
the nearest hundredth, what is the height after the 5th bounce?
Does this set of ordered pairs satisfy an exponential function?
{(-2, 160), (-1, 40), (0, 10), (1, 2.5)} Explain.
$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the balance after 5 years.
A pond has 150 fish, and the population decreases by 8% each day. Find the population after 3 weeks.
Determine which kind of model—linear, quadratic, exponential, or square-root— best describes this data set.
{(-1, 15), (0, 12), (1, 9.6), (2, 7.68)}