ALEKS BASIC MATH PLACEMENT TEST REVIEW WITH
COMPLETE SOLUTIONS 100% 2023/2024
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
COMPLETE SOLUTIONS 100% 2023/2024
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
