Question ID 6abec9a8
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: 6abec9a8
What is the -intercept of the graph shown?
A.
B.
C.
D.
Question ID a9084ca4
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: a9084ca4
The given function models the number of advertisements a company sent to its clients each year, where represents the
number of years since , and . If is graphed in the xy-plane, which of the following is the best
interpretation of the y-intercept of the graph in this context?
A. The minimum estimated number of advertisements the company sent to its clients during the years was .
B. The minimum estimated number of advertisements the company sent to its clients during the years was .
C. The estimated number of advertisements the company sent to its clients in was .
D. The estimated number of advertisements the company sent to its clients in was .
Question ID 788bfd56
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: 788bfd56
The function is defined by . What is the value of ?
A.
B.
C.
D.
Question ID f89af023
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: f89af023
A rectangular volleyball court has an area of 162 square meters. If the length of the
court is twice the width, what is the width of the court, in meters?
A. 9
B. 18
C. 27
D. 54
Question ID e53add44
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: e53add44
The function S above models the annual salary, in dollars, of an employee n years
after starting a job, where a is a constant. If the employee’s salary increases by 4%
each year, what is the value of a ?
A. 0.04
B. 0.4
C. 1.04
D. 1.4
Question ID 9654add7
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: 9654add7
The revenue , in dollars, that a company receives from sales of a product is
given by the function f above, where x is the unit price, in dollars, of the product.
The graph of in the xy-plane intersects the x-axis at 0 and a. What does a
represent?
A. The revenue, in dollars, when the unit price of the product is $0
B. The unit price, in dollars, of the product that will result in maximum revenue
C. The unit price, in dollars, of the product that will result in a revenue of $0
D. The maximum revenue, in dollars, that the company can make
Question ID 263f9937
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: 263f9937
Growth of a Culture of Bacteria
Number of bacteria per
Day
milliliter at end of day
A culture of bacteria is growing at an exponential rate, as shown in the table above.
At this rate, on which day would the number of bacteria per milliliter reach
?
A. Day 5
B. Day 9
C. Day 11
D. Day 12
Question ID 926c246b
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: 926c246b
The equation above estimates the global data traffic D, in terabytes, for the year
that is t years after 2010. What is the best interpretation of the number 5,640 in this
context?
A. The estimated amount of increase of data traffic, in terabytes, each year
B. The estimated percent increase in the data traffic, in terabytes, each year
C. The estimated data traffic, in terabytes, for the year that is t years after 2010
D. The estimated data traffic, in terabytes, in 2010
Question ID b39d74a0
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: b39d74a0
x y
0 0
1 1
2 8
3 27
The table shown includes some values of x and their corresponding values of y.
Which of the following graphs in the xy-plane could represent the relationship
between x and y ?
A.
B.
C.
D.
Question ID 50e40f08
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: 50e40f08
If the given function is graphed in the xy-plane, where , what is the x-coordinate of an x-intercept of the graph?
Question ID a31417d1
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: a31417d1
From 2005 through 2014, the number of music CDs sold in the United States
declined each year by approximately 15% of the number sold the preceding year. In
2005, approximately 600 million CDs were sold in the United States. Of the
following, which best models C, the number of millions of CDs sold in the United
States, t years after 2005?
A.
B.
C.
D.
Question ID 9afe2370
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: 9afe2370
The population P of a certain city y years after the last census is modeled by the equation below, where r is a constant
and is the population when .
If during this time the population of the city decreases by a fixed percent each year,
which of the following must be true?
A.
B.
C.
D.
Question ID c4cd5bcc
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: c4cd5bcc
In the xy-plane, the y-coordinate of the y-intercept of the graph of the function f is c.
Which of the following must be equal to c ?
A.
B.
C.
D.
Question ID 78d5f91a
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: 78d5f91a
For the function f defined above, what is
the value of ?
A.
B.
C. 7
D. 11
Question ID d675744f
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear functions
ID: d675744f
Which of the following is the graph in the xy-
plane of the given equation?
A.
B.
C.
D.
Question ID 7f81d0c3
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: 7f81d0c3
What values satisfy the
equation above?
A. and
B. and
C. and
D. and
Question ID fc3d783a
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: fc3d783a
In the -plane, a line with equation intersects a parabola at exactly one point. If the parabola has equation
, where is a positive constant, what is the value of ?
Question ID 4661e2a9
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: 4661e2a9
Which ordered pair is a solution to the
system of equations above?
A.
B.
C.
D.
Question ID f65288e8
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: f65288e8
If x is a solution to the given equation, which of the
following is a possible value of ?
A.
B.
C.
D.
Question ID f2f3fa00
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: f2f3fa00
During a 5-second time interval, the average acceleration a, in meters per second
squared, of an object with an initial velocity of 12 meters per second is defined by
the equation , where vf is the final velocity of the object in
meters per second. If the equation is rewritten in the form vf = xa + y, where x and y
are constants, what is the value of x ?
Question ID 6ce95fc8
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: 6ce95fc8
Which of the following is a solution to
the equation above?
A. 2
B.
C.
D.
Question ID 4ca30186
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: 4ca30186
The graph of a system of a linear equation and a nonlinear equation is shown. What is the solution to this system?
A.
B.
C.
D.
Question ID 911383f2
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: 911383f2
What is the product of the solutions to
the given equation?
A. 8
B. 3
C.
D.
Question ID b80d10d7
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: b80d10d7
What is the solution to the
equation above?
A. 0
B. 2
C. 3
D. 5
Question ID fcdf87b7
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: fcdf87b7
If the ordered pair satisfies the system of equations above,
what is one possible value of x ?
Question ID 652054da
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: 652054da
An oceanographer uses the equation to model the speed s, in knots, of an
ocean wave, where p represents the period of the wave, in seconds. Which of the
following represents the period of the wave in terms of the speed of the wave?
A.
B.
C.
D.
Question ID 3de7a7d7
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: 3de7a7d7
Which of the following is a solution to the
equation ?
A. 1
B. 2
C. 3
D. 4
Question ID 6e02cd78
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: 6e02cd78
In the xy-plane, what is the y-coordinate of the point of intersection of the
graphs of and ?
Question ID 7bd10ef3
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: 7bd10ef3
In the equation above, t is a constant. If the equation has no real solutions, which
of the following could be the value of t ?
A.
B.
C. 1
D. 3
Question ID 802549ac
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Nonlinear equations
in one variable and
systems of equations
in two variables
ID: 802549ac
Which of the following is a solution to
the given equation?
A. 1
B. 0
C.
D.
Question ID e312081b
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: e312081b
Which of the following is equivalent to
the given expression?
A.
B.
C.
D.
Question ID ad2ec615
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: ad2ec615
Which of the following is equivalent to the
expression ?
A.
B.
C.
D.
Question ID 42c71eb5
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: 42c71eb5
Which of the following is equivalent to
the expression above?
A.
B.
C.
D.
Question ID 371cbf6b
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: 371cbf6b
The equation above is true for all x, where a and b are
constants. What is the value of ab ?
A. 18
B. 20
C. 24
D. 40
Question ID a05bd3a4
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: a05bd3a4
Which of the following expressions is
equivalent to ?
A.
B.
C.
D.
Question ID 40c09d66
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: 40c09d66
If for all positive values of x,
what is the value of ?
Question ID 34847f8a
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: 34847f8a
The equation above is true for all , where r and t are positive
constants. What is the value of rt ?
A.
B. 15
C. 20
D. 60
Question ID cc776a04
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: cc776a04
Which of the following is an equivalent form of
?
A.
B.
C.
D.
Question ID 137cc6fd
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: 137cc6fd
For what value of is the given expression equivalent to , where ?
Question ID ea6d05bb
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: ea6d05bb
The expression is equivalent to the expression , where , , and are constants. What
is the value of ?
Question ID 1d3fee25
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: 1d3fee25
Which of the following is
equivalent to ?
A.
B.
C.
D.
Question ID d8789a4c
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: d8789a4c
In the expression above, b and c are positive integers. If the expression is
equivalent to and , which of the following could be the value of c ?
A. 4
B. 6
C. 8
D. 10
Question ID a520ba07
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: a520ba07
Which of the following expressions is equivalent
to the expression above?
A.
B.
C.
D.
Question ID a255ae72
Assessment Test Domain Skill Difficulty
SAT Math Advanced Math Equivalent
expressions
ID: a255ae72
If and , which of the
following is equal to ?
A.
B.
C.
D.
