ALEKS Basic Math Placement Test Review-Questions with Correct
Answers/ Verified/ latest 2024/2025
how to find domain with a given equation - ✔️✔️-if a fraction, set denom. to zero, then solve
-in equation, plug in 0 for x
*usually can be a + or - solution*
(-) + (-)= ...
(-) x (-)= ...
(-) divided by a (-)= ... - ✔️✔️(-)
(+)
(+)
quotient - ✔️✔️division
adding and subtracting fractions - ✔️✔️-make denoms the same
-add/subtract numerators
multiplying fractions - ✔️✔️just multiply numerators across and denoms across and simplify
dividing fraction - ✔️✔️multiply by reciprocal (change second fraction to reciprocal)
multiplying/dividing/adding mixed fractions - ✔️✔️turn them into regular fractions (multiplying #
by denom, adding it to num, keeping denom the same) and continue
subtracting mixed fractions - ✔️✔️*first: make denoms the same*
set up as if you're subtracting two large numbers (on top and on bottom)
how to solve problems like 5-2 (1/3) - ✔️✔️1) make problem 5- (2 (1/3))
2) separate : 5- 2- (1/3) to get: 3- (1/3)
3) rewrite whole #: 2+1- (1/3)
, 4) rewrite as: 2 + (3/3) - (1/3) to ed up with:
2 (2/3)
inequality problem rule (<, >, etc like problems) - ✔️✔️When *multiplying/dividing* each side by a
*positive* number, the inequality sign *stays the same*
When *multiplying/dividing* each side by a *negative* number, we *flip* the inequality sign.
area and circumference of circle - ✔️✔️A= pi x r^2
C= 2 x pi x r
area and perimeter of a triangle - ✔️✔️A= (1/2)bh (unit squared)
P= side+side+ side
Volume and surface area of a rectangular prism - ✔️✔️V=lwh (unit to the 3rd power)
SA= 2(wl + hl+ hw)
distance formula - ✔️✔️d= rate x time
percent to fraction - ✔️✔️percent as numerator and 100 as denominator, then simplify
fraction to percent - ✔️✔️1) do long division with denom as outside and numerator as inside
2) move decimal over 2 places to make it into a %
*do not forget decimal*
ORRRR
make denom 100 (multiply num and denom of original fraction by whatever to get it to 100)
how to find percent of change - ✔️✔️1) change/ original amount
2) make fraction into a decimal
3) move decimal to make it a percent
Answers/ Verified/ latest 2024/2025
how to find domain with a given equation - ✔️✔️-if a fraction, set denom. to zero, then solve
-in equation, plug in 0 for x
*usually can be a + or - solution*
(-) + (-)= ...
(-) x (-)= ...
(-) divided by a (-)= ... - ✔️✔️(-)
(+)
(+)
quotient - ✔️✔️division
adding and subtracting fractions - ✔️✔️-make denoms the same
-add/subtract numerators
multiplying fractions - ✔️✔️just multiply numerators across and denoms across and simplify
dividing fraction - ✔️✔️multiply by reciprocal (change second fraction to reciprocal)
multiplying/dividing/adding mixed fractions - ✔️✔️turn them into regular fractions (multiplying #
by denom, adding it to num, keeping denom the same) and continue
subtracting mixed fractions - ✔️✔️*first: make denoms the same*
set up as if you're subtracting two large numbers (on top and on bottom)
how to solve problems like 5-2 (1/3) - ✔️✔️1) make problem 5- (2 (1/3))
2) separate : 5- 2- (1/3) to get: 3- (1/3)
3) rewrite whole #: 2+1- (1/3)
, 4) rewrite as: 2 + (3/3) - (1/3) to ed up with:
2 (2/3)
inequality problem rule (<, >, etc like problems) - ✔️✔️When *multiplying/dividing* each side by a
*positive* number, the inequality sign *stays the same*
When *multiplying/dividing* each side by a *negative* number, we *flip* the inequality sign.
area and circumference of circle - ✔️✔️A= pi x r^2
C= 2 x pi x r
area and perimeter of a triangle - ✔️✔️A= (1/2)bh (unit squared)
P= side+side+ side
Volume and surface area of a rectangular prism - ✔️✔️V=lwh (unit to the 3rd power)
SA= 2(wl + hl+ hw)
distance formula - ✔️✔️d= rate x time
percent to fraction - ✔️✔️percent as numerator and 100 as denominator, then simplify
fraction to percent - ✔️✔️1) do long division with denom as outside and numerator as inside
2) move decimal over 2 places to make it into a %
*do not forget decimal*
ORRRR
make denom 100 (multiply num and denom of original fraction by whatever to get it to 100)
how to find percent of change - ✔️✔️1) change/ original amount
2) make fraction into a decimal
3) move decimal to make it a percent
