ALEKS Math Placement Exams (Latest 2023/ 2024
Updates STUDY BUNDLE WITH COMPLETE
SOLUTIONS) Questions and Verified Answers|
100% Correct| Grade A
graph ≥, ≤ - ANSWERsolid line
graph >, < - ANSWERDOTTED line
every, each, per (writing equations) - ANSWERrate/ 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? - ANSWERwrite out what's happening
What should you double check for EVERY time - ANSWERwriting problem down
wrong (NEGATIVE SIGNS), uncarried negative signs, unflipped inequality signs,
undotted lines, incorrect multiplication, fully simplified
distance = - ANSWERrate x time
When solving a system of equations can you add the equations together if one of the
variables will cancel out? - ANSWERYES
What should you always write out when doing your work? - ANSWERFraction
conversions, simplification steps, line graphs (interval notation)
What standard does an equation/ graph have to meet to be considered a function? -
ANSWEREach input can only have one output
How do you translate a graph up or down? - ANSWERThe value outside of the
parentheses (DONT change sign)
How do you translate a graph side to side? - ANSWERThe value inside the
parentheses (CHANGE SIGN)
Translate -(x + 3)^3 - 2 from -x^3 - ANSWERleft 3, down 2
When translating do you need to solve the equation? - ANSWERNo, 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? - ANSWERThe x limits
, What is the range? - ANSWERThe y limits
U represents - ANSWERNumbers in EITHER set (Union)
⋂ represents - ANSWERNumbers 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? -
ANSWERTHE RATE
(x-6)(x+4) < 0 - ANSWERWhere 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? - ANSWERNo
When you take the square root of a variable, how many answers are there? -
ANSWER2 answers (negative and positive)
x^a/x^b - ANSWERx^a-b
x^a times x^b = - ANSWERx^a+b
(x^a)^b - ANSWERx^ab
What should you always physically mark on inequality graphs that are getting
compared before attempting to solve the problem? - ANSWERWhere the graphs
intersect
BETC - ANSWERdivide the top leading coefficient by the bottom leading coefficient
(Bottom Equals Top Coefficient HORIZONTAL ASYMPTOTE)
BOB0 - ANSWERthe horizontal asymptote = 0 (Bigger On Bottom 0)
BOTU - ANSWERthere is no horizontal asymptote, find slant asymptote (Bigger On
Top Undefined)
How do you find the slant asymptote? - ANSWERDivide 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? - ANSWERSet the denominator equal to 0
sin - ANSWERcsc
cos - ANSWERsec
Updates STUDY BUNDLE WITH COMPLETE
SOLUTIONS) Questions and Verified Answers|
100% Correct| Grade A
graph ≥, ≤ - ANSWERsolid line
graph >, < - ANSWERDOTTED line
every, each, per (writing equations) - ANSWERrate/ 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? - ANSWERwrite out what's happening
What should you double check for EVERY time - ANSWERwriting problem down
wrong (NEGATIVE SIGNS), uncarried negative signs, unflipped inequality signs,
undotted lines, incorrect multiplication, fully simplified
distance = - ANSWERrate x time
When solving a system of equations can you add the equations together if one of the
variables will cancel out? - ANSWERYES
What should you always write out when doing your work? - ANSWERFraction
conversions, simplification steps, line graphs (interval notation)
What standard does an equation/ graph have to meet to be considered a function? -
ANSWEREach input can only have one output
How do you translate a graph up or down? - ANSWERThe value outside of the
parentheses (DONT change sign)
How do you translate a graph side to side? - ANSWERThe value inside the
parentheses (CHANGE SIGN)
Translate -(x + 3)^3 - 2 from -x^3 - ANSWERleft 3, down 2
When translating do you need to solve the equation? - ANSWERNo, 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? - ANSWERThe x limits
, What is the range? - ANSWERThe y limits
U represents - ANSWERNumbers in EITHER set (Union)
⋂ represents - ANSWERNumbers 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? -
ANSWERTHE RATE
(x-6)(x+4) < 0 - ANSWERWhere 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? - ANSWERNo
When you take the square root of a variable, how many answers are there? -
ANSWER2 answers (negative and positive)
x^a/x^b - ANSWERx^a-b
x^a times x^b = - ANSWERx^a+b
(x^a)^b - ANSWERx^ab
What should you always physically mark on inequality graphs that are getting
compared before attempting to solve the problem? - ANSWERWhere the graphs
intersect
BETC - ANSWERdivide the top leading coefficient by the bottom leading coefficient
(Bottom Equals Top Coefficient HORIZONTAL ASYMPTOTE)
BOB0 - ANSWERthe horizontal asymptote = 0 (Bigger On Bottom 0)
BOTU - ANSWERthere is no horizontal asymptote, find slant asymptote (Bigger On
Top Undefined)
How do you find the slant asymptote? - ANSWERDivide 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? - ANSWERSet the denominator equal to 0
sin - ANSWERcsc
cos - ANSWERsec
