ALEKS Math Placement Exam (Latest 2025-2026
Update) Questions and Verified Answers| 100%
Correct| Grade A+
What should you always Where the graphs intersect
physically mark on
inequality graphs that are
getting compared before
attempting to solve the
problem?
divide the top leading coefficient by the bottom
BETC
leading coefficient (Bottom Equals Top Coefficient
HORIZONTAL ASYMPTOTE)
BOB0 the horizontal asymptote = 0 (Bigger On Bottom 0)
BOTU there is no horizontal asymptote, find slant asymptote (Bigger On
Top Undefined)
Divide the ENTIRE numerator by the ENTIRE
How do you find the slant denominator, the slant asymptote is the quotient, ignore
asymptote?
the remainder (might include division with variables
raised to exponents)
How do you find the vertical Set the denominator equal to 0
asymptote?
sin csc
cos sec
tan cot
, Can a graph have more than yes
one local maximum or
minimum?
volume cubed
area squared
perimeter/ length no power
How do you find the vertex of take the derivative (slope) and set it equal to 0
a parabola?
d/dx (x^a) ax^a-1
antiderivative (x^a) (x^a+1)/a+1
circumference 2πr
area of a circle πr²
Translate this equation to the (1/2(x-3)^2)+4
right 3 and up 4:
f(x)=1/2x^2
If a question asks for all real no
zeroes should you include
imaginary numbers?
In the functions (f + g)(x), (f- No, x is the input for the combined functions ( just like it
g)(1), (f・g)(x),
would be in single functions like f(x))
(f/g)(2) etc. is the x or the
coefficient in the second
parentheses being
multiplied by the solution of
f and g?
y=af(x) multiply y coordinate by a
y=f(ax) divide x coordinate by a
to find x intercept set f(x) equal to 0
to find y intercept find f(0)
What are inverse functions. Functions that switch the input and output
How do you find the inverse Solve for x then swap the variables of the new solved equation
function of an equation?
What should you always do Cancel/ simplify/ factor
first
When a problem says that the constant k
one variable varies inversely
with another variable what
do you need to know/ find?
Update) Questions and Verified Answers| 100%
Correct| Grade A+
What should you always Where the graphs intersect
physically mark on
inequality graphs that are
getting compared before
attempting to solve the
problem?
divide the top leading coefficient by the bottom
BETC
leading coefficient (Bottom Equals Top Coefficient
HORIZONTAL ASYMPTOTE)
BOB0 the horizontal asymptote = 0 (Bigger On Bottom 0)
BOTU there is no horizontal asymptote, find slant asymptote (Bigger On
Top Undefined)
Divide the ENTIRE numerator by the ENTIRE
How do you find the slant denominator, the slant asymptote is the quotient, ignore
asymptote?
the remainder (might include division with variables
raised to exponents)
How do you find the vertical Set the denominator equal to 0
asymptote?
sin csc
cos sec
tan cot
, Can a graph have more than yes
one local maximum or
minimum?
volume cubed
area squared
perimeter/ length no power
How do you find the vertex of take the derivative (slope) and set it equal to 0
a parabola?
d/dx (x^a) ax^a-1
antiderivative (x^a) (x^a+1)/a+1
circumference 2πr
area of a circle πr²
Translate this equation to the (1/2(x-3)^2)+4
right 3 and up 4:
f(x)=1/2x^2
If a question asks for all real no
zeroes should you include
imaginary numbers?
In the functions (f + g)(x), (f- No, x is the input for the combined functions ( just like it
g)(1), (f・g)(x),
would be in single functions like f(x))
(f/g)(2) etc. is the x or the
coefficient in the second
parentheses being
multiplied by the solution of
f and g?
y=af(x) multiply y coordinate by a
y=f(ax) divide x coordinate by a
to find x intercept set f(x) equal to 0
to find y intercept find f(0)
What are inverse functions. Functions that switch the input and output
How do you find the inverse Solve for x then swap the variables of the new solved equation
function of an equation?
What should you always do Cancel/ simplify/ factor
first
When a problem says that the constant k
one variable varies inversely
with another variable what
do you need to know/ find?
