ALEKS Basic Math Placement Test
Review
how to find domain with a given equation - Answer --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 (-)= ... - Answer -(-)
(+)
(+)
quotient - Answer -division
adding and subtracting fractions - Answer --make denoms the same
-add/subtract numerators
multiplying fractions - Answer -just multiply numerators across and denoms across and
simplify
dividing fraction - Answer -multiply by reciprocal (change second fraction to reciprocal)
multiplying/dividing/adding mixed fractions - Answer -turn them into regular fractions
(multiplying # by denom, adding it to num, keeping denom the same) and continue
subtracting mixed fractions - Answer -*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) - Answer -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) - Answer -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 - Answer -A= pi x r^2
C= 2 x pi x r
area and perimeter of a triangle - Answer -A= (1/2)bh (unit squared)
P= side+side+ side
Volume and surface area of a rectangular prism - Answer -V=lwh (unit to the 3rd power)
SA= 2(wl + hl+ hw)
distance formula - Answer -d= rate x time
percent to fraction - Answer -percent as numerator and 100 as denominator, then
simplify
fraction to percent - Answer -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 - Answer -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 - Answer -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
Compounded Interest - Answer -*use when problem says annually*
A= P (1+r)^t
functions... - Answer -can have only different inputs/x values
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