SAT Prep Math
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.
, x^a * y^a = (xy)^a—ANSWER--When multiplying different numbers but are
raised to the SAME POWER, then just multiply the bases together.
Remainders—ANSWER--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 gone into the larger number
an even number of times (which means there is no remainder).
Prime Numbers—ANSWER--1 is NOT a prime number
2 is the ONLY even prime number
1. Even * Even =—ANSWER--1. Even
2. Odd * Odd =—ANSWER--2. Odd
3. Even * Odd =—ANSWER--3. Even
4. Even + Odd =—ANSWER--4. Odd
5. Odd + Odd =—ANSWER--5. Even
6. Even + Even =—ANSWER--6. Even
To Solve Absolute Value Equations—ANSWER--Break the absolute value
apart into two equations, one with a positive solution and one with a
negative solution.
© 2026 Copyright. All Rights Reserved. This document is
protected by copyright law, Copyrighted By Brittie Donald
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.
, x^a * y^a = (xy)^a—ANSWER--When multiplying different numbers but are
raised to the SAME POWER, then just multiply the bases together.
Remainders—ANSWER--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 gone into the larger number
an even number of times (which means there is no remainder).
Prime Numbers—ANSWER--1 is NOT a prime number
2 is the ONLY even prime number
1. Even * Even =—ANSWER--1. Even
2. Odd * Odd =—ANSWER--2. Odd
3. Even * Odd =—ANSWER--3. Even
4. Even + Odd =—ANSWER--4. Odd
5. Odd + Odd =—ANSWER--5. Even
6. Even + Even =—ANSWER--6. Even
To Solve Absolute Value Equations—ANSWER--Break the absolute value
apart into two equations, one with a positive solution and one with a
negative solution.
© 2026 Copyright. All Rights Reserved. This document is
protected by copyright law, Copyrighted By Brittie Donald
