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ALEKS Basic Math Placement Test Review Questions with Solutions
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ALEKS Basic Math Placement TestReview Questions with Solutions
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
-how to find new price given a percentage off - -1) subtract the given
percent by 100
2) make that number into a decimal
3) multiply decimal by amount to get new price
ORRRR
1) change percent to a decimal
2) multiply decimal by dollar amount
3) subtract that amount from the old amount to see new amount
-simple interest - -I= Prt
(p= principle/ beginning amount)
*change percent into decimal*
-Compounded Interest - -*use when problem says annually*
A= P (1+r)^t
-functions... - -can have only different inputs/x values
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