SAT Prep - Math
Quadratic Formula—ANSWER--Quadratic Formula:
Function—ANSWER--A given input, sent through the function, produces a
given output. f(x) = y
a -> f -> b
Multiple inputs can ONLY produce ONE output
Perfect Square—ANSWER--In a polynomial expression, two numbers that
add to equal the ax term and multiply to equal the b term.
x(squared) + ax + b
Completing the Square—ANSWER--In x (squared) + ax + b, where b is
unknown, find b by taking half of a and squaring that answer. Add b to the
opposite side of the equation so that it stays equivalent.
, Alternative to Completing the Square—ANSWER--In x(squared) + ax = y,
move y over to the left hand side: x(squared) + ax + y = 0. Then complete the
square.
x ^ -y = 1/x^y—ANSWER--A base raised to a negative exponent equals 1
divided by the base raised to the positive exponent.
x^a * x^b = x^[a+b]—ANSWER--When multiplying numbers WITH THE
SAME BASE raised to a power, just add the powers together.
x^a * y^a = (xy)^a—ANSWER--When multiplying different numbers but are
raised to the SAME POWER, then just multiply the bases together.
Root Indicator—ANSWER--If there is a number on the outside of a square
root symbol, that represents how many numbers should be multiplied to
equal the number under the square root symbol.
Fractional Exponents—ANSWER--The denominator becomes the value to
which you take the root, and the numerator becomes the exponent to
which you take the number under the root sign.
Remainders—ANSWER--Now we also know that, when positive
consecutive integers are divided by any number, the remainders increase
by 1 until they hit their highest remainder possible. When that happens, the
next integer remainder resets to 0. This is because our smaller number has
© 2026 Copyright. All Rights Reserved. This document is
protected by copyright law, Copyrighted By Brittie Donald
Quadratic Formula—ANSWER--Quadratic Formula:
Function—ANSWER--A given input, sent through the function, produces a
given output. f(x) = y
a -> f -> b
Multiple inputs can ONLY produce ONE output
Perfect Square—ANSWER--In a polynomial expression, two numbers that
add to equal the ax term and multiply to equal the b term.
x(squared) + ax + b
Completing the Square—ANSWER--In x (squared) + ax + b, where b is
unknown, find b by taking half of a and squaring that answer. Add b to the
opposite side of the equation so that it stays equivalent.
, Alternative to Completing the Square—ANSWER--In x(squared) + ax = y,
move y over to the left hand side: x(squared) + ax + y = 0. Then complete the
square.
x ^ -y = 1/x^y—ANSWER--A base raised to a negative exponent equals 1
divided by the base raised to the positive exponent.
x^a * x^b = x^[a+b]—ANSWER--When multiplying numbers WITH THE
SAME BASE raised to a power, just add the powers together.
x^a * y^a = (xy)^a—ANSWER--When multiplying different numbers but are
raised to the SAME POWER, then just multiply the bases together.
Root Indicator—ANSWER--If there is a number on the outside of a square
root symbol, that represents how many numbers should be multiplied to
equal the number under the square root symbol.
Fractional Exponents—ANSWER--The denominator becomes the value to
which you take the root, and the numerator becomes the exponent to
which you take the number under the root sign.
Remainders—ANSWER--Now we also know that, when positive
consecutive integers are divided by any number, the remainders increase
by 1 until they hit their highest remainder possible. When that happens, the
next integer remainder resets to 0. This is because our smaller number has
© 2026 Copyright. All Rights Reserved. This document is
protected by copyright law, Copyrighted By Brittie Donald
