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Compound Inequalities

"In mathematics, it can be useful limit the solution or even have multiple solutions for an inequality. For this we use compound inequalities, inequalities with multiple inequality signs. When solving ...

Composition of Functions

"When we put two functions together, we have something called a composition of functions. For example, the expression g(f(x)) states that we should put the "f" function into the "g" function. To do th ...

Complex Quadratic Equations

"There are four methods to solving quadratic equations: factoring, completing the square, using square roots, and using the quadratic formula. Sometimes there are more complex quadratic equations in ...

Complex Factoring

"When asked to simplify expressions, sometimes we come across complicated expressions that are not easily factored by traditional methods. When factoring complex expressions, one strategy that we can ...

Completing the Square

"Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic ...

Common Logarithm

"We can use many bases for a logarithm, but the bases most typically used are the bases of the common logarithm and the natural logarithm. The common logarithm has base 10, and is represented on the c ...

Common Algebra Mistakes

"Some of the most common algebra mistakes come from misunderstanding the order of operations or what is commonly known as PEMDAS. We must keep in mind that the multiplication and division are done at ...

Combinations and Permutations

"When trying to determine the number of possible combinations in a set, it can be difficult to differentiate between combinations and permutations. With permutations, we calculate the number of possib ...

Point-Slope Form of a Line

"Point-slope form of a line is one method to write the equation of a line. Start with the slope equation, which is basically the difference between two points, and then rearrange the terms to obtain ...

Point Slope Form

"Sometimes we're only given a couple of points on a line and then asked to write a linear equation. When given this information, it's easiest to use point slope form. Point slope form can be written u ...

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