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Step Functions

"Some functions are not easily written as a formula. On a graph, a step function looks like a flight of stairs. The graphs of step functions have lines with an open circle on one end and a closed circ ...

Standard Form of a Line

"We will commonly see lines expressed standard form, especially when we look at and write systems of linear equations. The standard form of a line puts the x and y terms on the left hand side of the e ...

SSS and SAS

"When two triangles are congruent, all three pairs of corresponding sides are congruent and all three pairs of corresponding angles are congruent. If all three pairs of corresponding sides are congru ...

Square Root Operations

"Since Pythagorean theorem proofs requires us to square numbers and find square roots, reviewing square root operations from Algebra is really important. When working with the Pythagorean theorem, it ...

Geometric Series

"We can use what we know of geometric sequences to understand geometric series. A geometric series is a series or summation that sums the terms of a geometric sequence. There are methods and formulas ...

Geometric Sequences

"A list of numbers that follows a rule is called a sequence. Sequences whose rule is the multiplication of a constant are called geometric sequences, similar to arithmetic sequences that follow a rule ...

Solving Trigonometric Equations

"When solving trigonometric equations, we find all the angles that make the equation true. If there is no interval given, use periodicity to show the infinite number of solutions. Two ways to visuali ...

Solving Systems of Equations by Graphing

"A system of equations is two or more equations that contain the same variables. Solving systems of equations by graphing is one method to find the point that is a solution to both (or all) original e ...

Solving Rational Equations with Unlike Denominators

"When solving rational equations with unlike denominators, the first step is to factor the denominators and look for a common denominator. Next, we multiply both sides of the equation by the common d ...

Solving Radical Equations

Radical equations are equations that have square root terms. When solving radical equations, try to isolate the radical expression on one side of the equation and then square both sides (it is the inv ...

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