8/23/24, 6:52 PM
ALEKS Basic Math Placement Test Review
Jeremiah
Practice questions for this set
Terms in this set (61)
-if a fraction, set denom. to zero, then solve
how to find domain with a given equation -in equation, plug in 0 for x
usually can be a + or - solution
(-) + (-)= ... (-)
(-) x (-)= ... (+)
(-) divided by a (-)= ... (+)
ALEKS Basic Math Placement Test Review
quotient division
1/5
, 8/23/24, 6:52 PM
-make denoms the same
adding and subtracting fractions
-add/subtract numerators
multiplying fractions just multiply numerators across and denoms across and simplify
dividing fraction multiply by reciprocal (change second fraction to reciprocal)
turn them into regular fractions (multiplying # by denom, adding it to num, keeping
multiplying/dividing/adding mixed fractions
denom the same) and continue
first: make denoms the same
subtracting mixed fractions
set up as if you're subtracting two large numbers (on top and on bottom)
1) make problem 5- (2 (1/3))
2) separate : 5- 2- (1/3) to get: 3- (1/3)
how to solve problems like 5-2 (1/3) 3) rewrite whole #: 2+1- (1/3)
4) rewrite as: 2 + (3/3) - (1/3) to ed up with:
2 (2/3)
When multiplying/dividing each side by a positive number, the inequality sign stays
inequality problem rule (<, >, etc like the same
problems)
When multiplying/dividing each side by a negative number, we flip the inequality sign.
A= pi x r^2
area and circumference of circle
C= 2 x pi x r
A= (1/2)bh (unit squared)
area and perimeter of a triangle
P= side+side+ side
Volume and surface area of a rectangular V=lwh (unit to the 3rd power)
prism SA= 2(wl + hl+ hw)
distance formula d= rate x time
percent to fraction percent as numerator and 100 as denominator, then simplify
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
fraction to percent
ORRRR
make denom 100 (multiply num and denom of original fraction by whatever to get it to
100)
1) change/ original amount
how to find percent of change 2) make fraction into a decimal
3) move decimal to make it a percent
1) subtract the given percent by 100
2) make that number into a decimal
3) multiply decimal by amount to get new price
how to find new price given a percentage
ORRRR
off
1) change percent to a decimal
2) multiply decimal by dollar amount
3) subtract that amount from the old amount to see new amount
I= Prt
simple interest (p= principle/ beginning amount)
change percent into decimal
use when problem says annually
Compounded Interest
A= P (1+r)^t
functions... can have only different inputs/x values
ALEKS Basic Math Placement Test Review
2/5
ALEKS Basic Math Placement Test Review
Jeremiah
Practice questions for this set
Terms in this set (61)
-if a fraction, set denom. to zero, then solve
how to find domain with a given equation -in equation, plug in 0 for x
usually can be a + or - solution
(-) + (-)= ... (-)
(-) x (-)= ... (+)
(-) divided by a (-)= ... (+)
ALEKS Basic Math Placement Test Review
quotient division
1/5
, 8/23/24, 6:52 PM
-make denoms the same
adding and subtracting fractions
-add/subtract numerators
multiplying fractions just multiply numerators across and denoms across and simplify
dividing fraction multiply by reciprocal (change second fraction to reciprocal)
turn them into regular fractions (multiplying # by denom, adding it to num, keeping
multiplying/dividing/adding mixed fractions
denom the same) and continue
first: make denoms the same
subtracting mixed fractions
set up as if you're subtracting two large numbers (on top and on bottom)
1) make problem 5- (2 (1/3))
2) separate : 5- 2- (1/3) to get: 3- (1/3)
how to solve problems like 5-2 (1/3) 3) rewrite whole #: 2+1- (1/3)
4) rewrite as: 2 + (3/3) - (1/3) to ed up with:
2 (2/3)
When multiplying/dividing each side by a positive number, the inequality sign stays
inequality problem rule (<, >, etc like the same
problems)
When multiplying/dividing each side by a negative number, we flip the inequality sign.
A= pi x r^2
area and circumference of circle
C= 2 x pi x r
A= (1/2)bh (unit squared)
area and perimeter of a triangle
P= side+side+ side
Volume and surface area of a rectangular V=lwh (unit to the 3rd power)
prism SA= 2(wl + hl+ hw)
distance formula d= rate x time
percent to fraction percent as numerator and 100 as denominator, then simplify
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
fraction to percent
ORRRR
make denom 100 (multiply num and denom of original fraction by whatever to get it to
100)
1) change/ original amount
how to find percent of change 2) make fraction into a decimal
3) move decimal to make it a percent
1) subtract the given percent by 100
2) make that number into a decimal
3) multiply decimal by amount to get new price
how to find new price given a percentage
ORRRR
off
1) change percent to a decimal
2) multiply decimal by dollar amount
3) subtract that amount from the old amount to see new amount
I= Prt
simple interest (p= principle/ beginning amount)
change percent into decimal
use when problem says annually
Compounded Interest
A= P (1+r)^t
functions... can have only different inputs/x values
ALEKS Basic Math Placement Test Review
2/5
