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Order of Operations

"Sometimes it's hard to know what to do first with a mathematical equation. The order of operations, sometimes called PEMDAS, is how we know what to operation to do first so that we always get the rig ...

Opposite Sides

"When an angle bisector is drawn in a triangle, the ratio of the opposite sides forming the bisected angle is equal to the ratio of the segments formed by bisector intersecting the opposite side. This ...

One-Sided Limits

"A limit is the value that a function approaches as the input of that function approaches a certain value. In Calculus, sometimes functions behave differently depending on what side of the function th ...

One to One Function

"After learning the definition of a function, we can extend it to define a one to one function. A one to one function has not only one output for every input, but also only one input in the domain for ...

Number of Handshakes

"Mathematical modeling is used to generate a formula for the number of handshakes possible. The situation essentially asks how many sides and diagonals are in a given polygon and generates the triang ...

Number of Diagonals in a Polygon

"A diagonal is a segment that connects two non-consecutive vertices in a polygon. The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of ...

Binomial Theorem

"In Algebra II, the binomial theorem describes the explanation of powers of a binomial. When expanding a binomial, the coefficients in the resulting expression are known as binomial coefficients and a ...

No Solution Systems of Equations

"Sometimes we have a system of equations that has either infinite or zero solutions. We call these no solution systems of equations. When we solve a system of equations and arrive at a false statement ...

Basic Transformations

"When graphing polynomials, basic transformations occur when a graph either shifts along the x-axis or y-axis and/or dilates. When graphing transformations, a dilation occurs when the "a" term value i ...

Negative Exponents

"It's important to understand what It means to have negative exponents and zero exponents. Negative exponents put the exponentiated term in the denominator of a fraction and zero exponents just make t ...

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