Math [Placement Test Quick Review]
Compound Interest - ANS-A=P(1+r/n)^nt
Converting between logarithmic and exponential equations - ANS-logarithm = logb(x) = y --->
b^y = x
instance:
log 2 (1/four) = -2 ---> 2^-2 = 1/four
Converting between percentages and decimals - ANS-cross from a percent to decimal --> pass
"decimal factor" to the left instances (aka percentage/a hundred)
instance: 370% --> 3.7
go from a decimal to percent --> pass decimal factor to the right two instances (aka decimal x a
hundred)
example:
0.154 --> 15.4%
Evaluating Log - ANS-instance:
log4 (1/sixty four) --> log4 (1/64) = -3
Factoring a difference of squares - ANS-a^2 - b^2 = (a - b) (a + b)
example: 64x^2 - 9y^2
(8x+3y)(8x-3y)
Factoring a polynomial by way of grouping: Problem type 1 - ANS-aspect the 2 numbers that
are eligible to be factored
the numbers within the parenthesis must healthy
combine
instance:
20u^3 + 5u^2 + 28u + 7
5u^2(4u + 1) and 7(4u + 1)
(5u^2 + 7)(4u + 1)
Finding a very last quantity in a word trouble on exponential boom or decay - ANS-A = P(1-r)^t
or A = P(1+r)^t
, P - preliminary
r - rate
t - time
A city has a populace of 400,000 human beings. Suppose that each year the populace grows by
using 6%. What will the population be after 10 years?
Round your answer to the nearest entire wide variety.
A = 400,000(1 + zero.06)^10
A = 716339
Finding local maxima and minima of a function given the graph - ANS-Can identify what local
max or min is
if it asks:
All local minimum values of f:
- solution with y-coordinate
All values at which f has a neighborhood minimum:
- solution with x-coordinate
instance: nearby minima at factors (-1, -2) and (three, -1)
All neighborhood minimum values of f: -2, -1
All values at which f has a neighborhood minimum: -1, 3
Finding the sale charge with out a calculator given the original price and percentage bargain -
ANS-Convert percent given into a fragment
Multiply given fee with the fraction
Take the given price and subtract it with the answer you found above
example: An object is often priced at
$20. It is now priced at a reduction of 75% off the regular charge. What is the price now?
75% = three/4
20 x (three/4) = 15
20 - 15 = 5
new fee = $five
Finding the y and x-intercept of a line given its equation - ANS-x-intercept: set y = 0
y-intercept: set x = zero
example: y = 2/3x + 18/5
y - intercept: y = 2/3(0) + 18/5
y-intercept = 18/five
x-intercept: (0) = 2/3x + 18/five
x-intercept = -27/5
Compound Interest - ANS-A=P(1+r/n)^nt
Converting between logarithmic and exponential equations - ANS-logarithm = logb(x) = y --->
b^y = x
instance:
log 2 (1/four) = -2 ---> 2^-2 = 1/four
Converting between percentages and decimals - ANS-cross from a percent to decimal --> pass
"decimal factor" to the left instances (aka percentage/a hundred)
instance: 370% --> 3.7
go from a decimal to percent --> pass decimal factor to the right two instances (aka decimal x a
hundred)
example:
0.154 --> 15.4%
Evaluating Log - ANS-instance:
log4 (1/sixty four) --> log4 (1/64) = -3
Factoring a difference of squares - ANS-a^2 - b^2 = (a - b) (a + b)
example: 64x^2 - 9y^2
(8x+3y)(8x-3y)
Factoring a polynomial by way of grouping: Problem type 1 - ANS-aspect the 2 numbers that
are eligible to be factored
the numbers within the parenthesis must healthy
combine
instance:
20u^3 + 5u^2 + 28u + 7
5u^2(4u + 1) and 7(4u + 1)
(5u^2 + 7)(4u + 1)
Finding a very last quantity in a word trouble on exponential boom or decay - ANS-A = P(1-r)^t
or A = P(1+r)^t
, P - preliminary
r - rate
t - time
A city has a populace of 400,000 human beings. Suppose that each year the populace grows by
using 6%. What will the population be after 10 years?
Round your answer to the nearest entire wide variety.
A = 400,000(1 + zero.06)^10
A = 716339
Finding local maxima and minima of a function given the graph - ANS-Can identify what local
max or min is
if it asks:
All local minimum values of f:
- solution with y-coordinate
All values at which f has a neighborhood minimum:
- solution with x-coordinate
instance: nearby minima at factors (-1, -2) and (three, -1)
All neighborhood minimum values of f: -2, -1
All values at which f has a neighborhood minimum: -1, 3
Finding the sale charge with out a calculator given the original price and percentage bargain -
ANS-Convert percent given into a fragment
Multiply given fee with the fraction
Take the given price and subtract it with the answer you found above
example: An object is often priced at
$20. It is now priced at a reduction of 75% off the regular charge. What is the price now?
75% = three/4
20 x (three/4) = 15
20 - 15 = 5
new fee = $five
Finding the y and x-intercept of a line given its equation - ANS-x-intercept: set y = 0
y-intercept: set x = zero
example: y = 2/3x + 18/5
y - intercept: y = 2/3(0) + 18/5
y-intercept = 18/five
x-intercept: (0) = 2/3x + 18/five
x-intercept = -27/5
