ALEKS Math Placement-Questions with Correct Answers/ Verified/
latest 2024/2025
graph ≥, ≤ - ✔️✔️solid line
graph >, < - ✔️✔️DOTTED line
every, each, per (writing equations) - ✔️✔️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? -
✔️✔️write out what's happening
What should you double check for EVERY time - ✔️✔️writing problem down wrong (NEGATIVE
SIGNS), uncarried negative signs, unflipped inequality signs, undotted lines, incorrect multiplication,
fully simplified
distance = - ✔️✔️rate x time
When solving a system of equations can you add the equations together if one of the variables will
cancel out? - ✔️✔️YES
What should you always write out when doing your work? - ✔️✔️Fraction conversions,
simplification steps, line graphs (interval notation)
What standard does an equation/ graph have to meet to be considered a function? - ✔️✔️Each
input can only have one output
How do you translate a graph up or down? - ✔️✔️The value outside of the parentheses (DONT
change sign)
How do you translate a graph side to side? - ✔️✔️The value inside the parentheses (CHANGE SIGN)
Translate -(x + 3)^3 - 2 from -x^3 - ✔️✔️left 3, down 2
, When translating do you need to solve the equation? - ✔️✔️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? - ✔️✔️The x limits
What is the range? - ✔️✔️The y limits
U represents - ✔️✔️Numbers in EITHER set (Union)
⋂ represents - ✔️✔️Numbers in BOTH sets (Intersection)
What is the quadratic formula? - ✔️✔️-b±√b^2-4ac/2a
When asked for the rate, should you give the rate or the rate times the time? - ✔️✔️THE RATE
(x-6)(x+4) < 0 - ✔️✔️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? -
✔️✔️No
When you take the square root of a variable, how many answers are there? - ✔️✔️2 answers
(negative and positive)
x^a/x^b - ✔️✔️x^a-b
x^a times x^b = - ✔️✔️x^a+b
(x^a)^b - ✔️✔️x^ab
latest 2024/2025
graph ≥, ≤ - ✔️✔️solid line
graph >, < - ✔️✔️DOTTED line
every, each, per (writing equations) - ✔️✔️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? -
✔️✔️write out what's happening
What should you double check for EVERY time - ✔️✔️writing problem down wrong (NEGATIVE
SIGNS), uncarried negative signs, unflipped inequality signs, undotted lines, incorrect multiplication,
fully simplified
distance = - ✔️✔️rate x time
When solving a system of equations can you add the equations together if one of the variables will
cancel out? - ✔️✔️YES
What should you always write out when doing your work? - ✔️✔️Fraction conversions,
simplification steps, line graphs (interval notation)
What standard does an equation/ graph have to meet to be considered a function? - ✔️✔️Each
input can only have one output
How do you translate a graph up or down? - ✔️✔️The value outside of the parentheses (DONT
change sign)
How do you translate a graph side to side? - ✔️✔️The value inside the parentheses (CHANGE SIGN)
Translate -(x + 3)^3 - 2 from -x^3 - ✔️✔️left 3, down 2
, When translating do you need to solve the equation? - ✔️✔️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? - ✔️✔️The x limits
What is the range? - ✔️✔️The y limits
U represents - ✔️✔️Numbers in EITHER set (Union)
⋂ represents - ✔️✔️Numbers in BOTH sets (Intersection)
What is the quadratic formula? - ✔️✔️-b±√b^2-4ac/2a
When asked for the rate, should you give the rate or the rate times the time? - ✔️✔️THE RATE
(x-6)(x+4) < 0 - ✔️✔️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? -
✔️✔️No
When you take the square root of a variable, how many answers are there? - ✔️✔️2 answers
(negative and positive)
x^a/x^b - ✔️✔️x^a-b
x^a times x^b = - ✔️✔️x^a+b
(x^a)^b - ✔️✔️x^ab
