ALEKS Math Placement Exam Questions
& Answers 100% Correct Verified
Answers
graph ≥, ≤ - ANSWER -solid line
graph >, < - ANSWER -DOTTED line
every, each, per (writing equations) - ANSWER -rate/ set y value equal to (multiply this
value by the x variable)
When writing an equation or working ANY inequality problem what does it help to do
first? - ANSWER -write out what's happening
What should you double check for EVERY time - ANSWER -writing problem down
wrong (NEGATIVE SIGNS), uncarried negative signs, unflipped inequality signs,
undotted lines, incorrect multiplication, fully simplified
distance = - ANSWER -rate x time
When solving a system of equations can you add the equations together if one of the
variables will cancel out? - ANSWER -YES
What should you always write out when doing your work? - ANSWER -Fraction
conversions, simplification steps, line graphs (interval notation)
What standard does an equation/ graph have to meet to be considered a function? -
ANSWER -Each input can only have one output
How do you translate a graph up or down? - ANSWER -The value outside of the
parentheses (DONT change sign)
How do you translate a graph side to side? - ANSWER -The value inside the
parentheses (CHANGE SIGN)
Translate -(x + 3)^3 - 2 from -x^3 - ANSWER -left 3, down 2
When translating do you need to solve the equation? - ANSWER -No, just look at the
numbers inside (side to side change sign) and outside (up and down DONT change
sign) the parentheses
What is the domain? - ANSWER -The x limits
, What is the range? - ANSWER -The y limits
U represents - ANSWER -Numbers in EITHER set (Union)
⋂ represents - ANSWER -Numbers in BOTH sets (Intersection)
What is the quadratic formula? - ANSWER --b±√b^2-4ac/2a
When asked for the rate, should you give the rate or the rate times the time? -
ANSWER -THE RATE
(x-6)(x+4) < 0 - ANSWER -Where is the product of (x-6) and (x+4) less than 0?
Should you graph two separate equations on the same number line when doing your
work? - ANSWER -No
When you take the square root of a variable, how many answers are there? - ANSWER
-2 answers (negative and positive)
x^a/x^b - ANSWER -x^a-b
x^a times x^b = - ANSWER -x^a+b
(x^a)^b - ANSWER -x^ab
What should you always physically mark on inequality graphs that are getting compared
before attempting to solve the problem? - ANSWER -Where the graphs intersect
BETC - ANSWER -divide the top leading coefficient by the bottom leading coefficient
(Bottom Equals Top Coefficient HORIZONTAL ASYMPTOTE)
BOB0 - ANSWER -the horizontal asymptote = 0 (Bigger On Bottom 0)
BOTU - ANSWER -there is no horizontal asymptote, find slant asymptote (Bigger On
Top Undefined)
How do you find the slant asymptote? - ANSWER -Divide the ENTIRE numerator by the
ENTIRE denominator, the slant asymptote is the quotient, ignore the remainder (might
include division with variables raised to exponents)
How do you find the vertical asymptote? - ANSWER -Set the denominator equal to 0
sin - ANSWER -csc
cos - ANSWER -sec
& Answers 100% Correct Verified
Answers
graph ≥, ≤ - ANSWER -solid line
graph >, < - ANSWER -DOTTED line
every, each, per (writing equations) - ANSWER -rate/ set y value equal to (multiply this
value by the x variable)
When writing an equation or working ANY inequality problem what does it help to do
first? - ANSWER -write out what's happening
What should you double check for EVERY time - ANSWER -writing problem down
wrong (NEGATIVE SIGNS), uncarried negative signs, unflipped inequality signs,
undotted lines, incorrect multiplication, fully simplified
distance = - ANSWER -rate x time
When solving a system of equations can you add the equations together if one of the
variables will cancel out? - ANSWER -YES
What should you always write out when doing your work? - ANSWER -Fraction
conversions, simplification steps, line graphs (interval notation)
What standard does an equation/ graph have to meet to be considered a function? -
ANSWER -Each input can only have one output
How do you translate a graph up or down? - ANSWER -The value outside of the
parentheses (DONT change sign)
How do you translate a graph side to side? - ANSWER -The value inside the
parentheses (CHANGE SIGN)
Translate -(x + 3)^3 - 2 from -x^3 - ANSWER -left 3, down 2
When translating do you need to solve the equation? - ANSWER -No, just look at the
numbers inside (side to side change sign) and outside (up and down DONT change
sign) the parentheses
What is the domain? - ANSWER -The x limits
, What is the range? - ANSWER -The y limits
U represents - ANSWER -Numbers in EITHER set (Union)
⋂ represents - ANSWER -Numbers in BOTH sets (Intersection)
What is the quadratic formula? - ANSWER --b±√b^2-4ac/2a
When asked for the rate, should you give the rate or the rate times the time? -
ANSWER -THE RATE
(x-6)(x+4) < 0 - ANSWER -Where is the product of (x-6) and (x+4) less than 0?
Should you graph two separate equations on the same number line when doing your
work? - ANSWER -No
When you take the square root of a variable, how many answers are there? - ANSWER
-2 answers (negative and positive)
x^a/x^b - ANSWER -x^a-b
x^a times x^b = - ANSWER -x^a+b
(x^a)^b - ANSWER -x^ab
What should you always physically mark on inequality graphs that are getting compared
before attempting to solve the problem? - ANSWER -Where the graphs intersect
BETC - ANSWER -divide the top leading coefficient by the bottom leading coefficient
(Bottom Equals Top Coefficient HORIZONTAL ASYMPTOTE)
BOB0 - ANSWER -the horizontal asymptote = 0 (Bigger On Bottom 0)
BOTU - ANSWER -there is no horizontal asymptote, find slant asymptote (Bigger On
Top Undefined)
How do you find the slant asymptote? - ANSWER -Divide the ENTIRE numerator by the
ENTIRE denominator, the slant asymptote is the quotient, ignore the remainder (might
include division with variables raised to exponents)
How do you find the vertical asymptote? - ANSWER -Set the denominator equal to 0
sin - ANSWER -csc
cos - ANSWER -sec
