ALEKS Math Placement Exam (New 2024/
2025 Update) Questions and Verified
Answers_ 100% Correct_ Graded A
QUESTION
When graphically solving a system of linear equations, what does it mean when the lines
intersect at a single point?
Answer:
exactly one solution
QUESTION
When graphically solving a system of linear equations, what does it mean when two lines are
the same?
Answer:
infinite solutions
QUESTION
When graphically solving a system of linear equations, what does it mean when two lines are
different are parallel?
Answer:
no solution
QUESTION
direct variation
Answer:
the ration y/x is constant, y=kx (k doesnt equal 0)
,QUESTION
inverse variation
Answer:
the product yx remains constant, y= k/x (k doesnt equal 0)
QUESTION
joint variation
Answer:
the ration y/xz remains constant, y/kxz (k doesnt equal 0)
QUESTION
(^n√a)(^n√b)=
Answer:
^n√ab (product rule)
QUESTION
(b doesnt equal 0) (^n√a)/(^n√b)
Answer:
^n√a/b (quotient rule)
QUESTION
(for a > or equal to 0) (^n√a^m)
Answer:
(^n√a)^m (root of a power)
, QUESTION
(for n even & odd) ^n√a^n
Answer:
a (root of a power)
QUESTION
^m√^n√a
Answer:
^mn√a (root of a root)
QUESTION
perfect cubes
Answer:
8 = 2^3
27 = 3^3
64 = 4^3
125 = 5^3
QUESTION
perfect fourth powers
Answer:
16 = 2^4
81 = 3^4
256 = 4^4
QUESTION
perfect fifth powers
2025 Update) Questions and Verified
Answers_ 100% Correct_ Graded A
QUESTION
When graphically solving a system of linear equations, what does it mean when the lines
intersect at a single point?
Answer:
exactly one solution
QUESTION
When graphically solving a system of linear equations, what does it mean when two lines are
the same?
Answer:
infinite solutions
QUESTION
When graphically solving a system of linear equations, what does it mean when two lines are
different are parallel?
Answer:
no solution
QUESTION
direct variation
Answer:
the ration y/x is constant, y=kx (k doesnt equal 0)
,QUESTION
inverse variation
Answer:
the product yx remains constant, y= k/x (k doesnt equal 0)
QUESTION
joint variation
Answer:
the ration y/xz remains constant, y/kxz (k doesnt equal 0)
QUESTION
(^n√a)(^n√b)=
Answer:
^n√ab (product rule)
QUESTION
(b doesnt equal 0) (^n√a)/(^n√b)
Answer:
^n√a/b (quotient rule)
QUESTION
(for a > or equal to 0) (^n√a^m)
Answer:
(^n√a)^m (root of a power)
, QUESTION
(for n even & odd) ^n√a^n
Answer:
a (root of a power)
QUESTION
^m√^n√a
Answer:
^mn√a (root of a root)
QUESTION
perfect cubes
Answer:
8 = 2^3
27 = 3^3
64 = 4^3
125 = 5^3
QUESTION
perfect fourth powers
Answer:
16 = 2^4
81 = 3^4
256 = 4^4
QUESTION
perfect fifth powers