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Pre-Algebra

The Pythagorean Theorem

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Triangles are an important shape that come up all over the place in life, which is why trigonometry is one of the most important fields of mathematics. Pythagorean theorem is incredibly important for many different real life applications, such as architecture, construction, navigation, and surveying. Pythagorean Theorem allows us to calculate the side lengths of…

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Adding and Subtracting Fractions

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Fractions are a very important part of math, and the first step to becoming comfortable with fractions is learning how to add and subtract them. Learning how to use fractions can seem intimidating at first, but with practice, fractions will start to seem easier and easier.                  …

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Solving a System of Equations: Substitution and Elimination

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When dealing with a system of linear equations there are two methods to algebraically solve the question. One is substitution and the other is elimination which is meant to be a shortcut. Both methods will bring you to the same solution but with more practice, you will recognize patterns and see which method would work…

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Multiplying and Dividing Decimals

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Multiplying and dividing is a very important and fundamental math skill that every student should have down. However, problems that many encounter in real and not all questions that are given to you come out as nice and even. Although calculators have made our job easier, knowing how to multiply and divide decimals is a…

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Sketching Rational Functions

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Definitions: A rational function is defined as a function where both the numerator and denominator are polynomials.  A hole is a point where the function is undefined. An asymptote is a line that continually approaches a given value but never reaches it. When sketching a rational function, there are several characteristics that can be determined…

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Finding the Equation of a y = mx + b Line

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                                                                                                             …

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Fractions: Adding, Subtracting, Multiplying, and Dividing

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                                                                                                      Interested in math tutoring…

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Math Review of Applications of Percents

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Overview Percents are based on the decimal system and have many useful applications in business, sales, and finance. Other applications of percents include percent increase and decrease. Estimating Percentages Many of the most useful applications of percents involve estimating and calculating percentages for sales tax and tips at a restaurant. Suppose the sales tax is…

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Math Review of Inequalities with More than One Step

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Overview If an inequality contains more than one operation, it will take more than one step to solve it. Suppose that in order to solve an inequality, both multiplication and addition statements need to be undone by using the multiplicative and additive inverses. As with other inequalities that take one step, the variable will have…

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Math Review of Inequalities

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Overview While equations are statements that two quantities are equal, inequalities state that quantities are not equal. One side of the expression might be greater than the other side, or one side of the expression may be less. Correct solutions for variables encompass more than one number. Inequalities Inequalities include symbols such as greater than…

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