SAT Math 2024
(3^a)^2 - answeris equal to 9^a
(a^3)^3 times (a)^(-9) - answeris equal to 1
Polynomial expression - answerone or more terms with a coefficient, a variable base,
and an exponent.
Base of a polynomial - answerhas an exponent attached to it.
Slope less than 1 - answery is less than x
x^1 = x - answer3^1 = 3
x^0 - answer= 1
x^m * x^n - answer= x^m + n
x^m/x^n - answer= x^m-n
(x^m)^n - answer= x^mn
(xy)m - answer= (x^m)(y^m)
x^(-m) - answer1/x^m
If someone got a certain number of X questions correct, and a certain percentage of Y
questions correct, to find the percentage of correct answers... - answersolve for all the
numbers in the solution, and then find the percentage that comes from that.
When asked for the increase and decrease of a percentage of something... -
answerthink of it like x(percentage change times percentage change)
For example:
p(1.2 * 0.6 * 1.25)
x interest compounded annually means... - answer(Original deposit)(Percentage +
1)^(Time)
Semiannually - answertwice a year.
, When calculating COMPOUNDED Semiannually (or quarterly) - answerIf the yearly is
given, divided that percent in half before adding one. Then multiply the t by how many
times it is compounded per year (twice for semiannually.)
For interest that is compounded more than once a year - answera = p(1 + r/n)^tn
n is the number of times it is compounded per year.
Simple interest - answernot compounded
For simple interest... - answerA = P(1 + rt)
r = interest rate.
p = initial investment.
Percent change - answer((New value - old value)/old value) X 100
If a percent change is positive - answerit's percent increase.
If percent change is negative - answerit's percent decrease.
When calculating for percent change - answerdo not include the negative sign, as you
are only indicating how much the percent changed, not whether it goes up or down.
Don't give up if you followed the method... - answermake sure you can't change the
form of your answer (you can always change the form of fractions and decimals.)
Exponential growth - answeroccurs when each step is multiplied by a number greater
than one.
Exponential decay - answeroccurs when each step is multiplied by a number less than
one.
Y intercept - answeris found when x=0
Linear growth and decay - answera positive slope with no exponents.
Negative association vs. Positive association - answertwo ways to graph something
linearly.
Strong association - answerwhen data points are close to forming a clear, linear line up
or down.
When the height of a triangle is tripled - answerthe area is tripled.
To find how much the area of a polygon has changed when a certain element is
multiplied by a coefficient - answerthe goal is to move the number out to the front of the
variables.
(3^a)^2 - answeris equal to 9^a
(a^3)^3 times (a)^(-9) - answeris equal to 1
Polynomial expression - answerone or more terms with a coefficient, a variable base,
and an exponent.
Base of a polynomial - answerhas an exponent attached to it.
Slope less than 1 - answery is less than x
x^1 = x - answer3^1 = 3
x^0 - answer= 1
x^m * x^n - answer= x^m + n
x^m/x^n - answer= x^m-n
(x^m)^n - answer= x^mn
(xy)m - answer= (x^m)(y^m)
x^(-m) - answer1/x^m
If someone got a certain number of X questions correct, and a certain percentage of Y
questions correct, to find the percentage of correct answers... - answersolve for all the
numbers in the solution, and then find the percentage that comes from that.
When asked for the increase and decrease of a percentage of something... -
answerthink of it like x(percentage change times percentage change)
For example:
p(1.2 * 0.6 * 1.25)
x interest compounded annually means... - answer(Original deposit)(Percentage +
1)^(Time)
Semiannually - answertwice a year.
, When calculating COMPOUNDED Semiannually (or quarterly) - answerIf the yearly is
given, divided that percent in half before adding one. Then multiply the t by how many
times it is compounded per year (twice for semiannually.)
For interest that is compounded more than once a year - answera = p(1 + r/n)^tn
n is the number of times it is compounded per year.
Simple interest - answernot compounded
For simple interest... - answerA = P(1 + rt)
r = interest rate.
p = initial investment.
Percent change - answer((New value - old value)/old value) X 100
If a percent change is positive - answerit's percent increase.
If percent change is negative - answerit's percent decrease.
When calculating for percent change - answerdo not include the negative sign, as you
are only indicating how much the percent changed, not whether it goes up or down.
Don't give up if you followed the method... - answermake sure you can't change the
form of your answer (you can always change the form of fractions and decimals.)
Exponential growth - answeroccurs when each step is multiplied by a number greater
than one.
Exponential decay - answeroccurs when each step is multiplied by a number less than
one.
Y intercept - answeris found when x=0
Linear growth and decay - answera positive slope with no exponents.
Negative association vs. Positive association - answertwo ways to graph something
linearly.
Strong association - answerwhen data points are close to forming a clear, linear line up
or down.
When the height of a triangle is tripled - answerthe area is tripled.
To find how much the area of a polygon has changed when a certain element is
multiplied by a coefficient - answerthe goal is to move the number out to the front of the
variables.
