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Math Review of Solving Quadratic Equations by Factoring 150 150 Deborah

Math Review of Solving Quadratic Equations by Factoring

Overview Although the Quadratic Formula can be used to solve quadratic equations, or show that the equation has no solution, it is not always necessary to use it. Some quadratic equations can be solved right away by factoring, which is a much shorter and easier process. The Zero Product Property The Zero Product Property is…

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Math Review of Solving Systems by Addition and Multiplication 150 150 Deborah

Math Review of Solving Systems by Addition and Multiplication

Overview Although systems of equations can be solved by substitution, there are situations where systems of equations can be solved by addition and multiplication. If the coefficients of one variable are opposite, they can be solved by addition, but sometimes the coefficients of one equation have to be multiplied by a constant in order for them…

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Math Review of Applications of Percents 150 150 Deborah

Math Review of Applications of Percents

Overview Applications of percents are widely used in many areas, from figuring sale prices to measurement of increase or decrease. Knowing how to translate words into meaningful equations is an important part of mathematical literacy. Definition The definition of percentage and the percent sign % is per 100. It is a fraction or a ratio.…

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How to Calculate Work Done by a Force 1069 694 School Tutoring

How to Calculate Work Done by a Force

Work is the energy applied to an object as it moves some distance. The amount of work done is directly proportional to the magnitude of force applied, as well as the displacement of the object. In some cases, there may be an angle between the direction of displacement and force vector. The force must be…

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Math Review of Descriptive Statistics 150 150 Deborah

Math Review of Descriptive Statistics

Overview Descriptive statistics are measurements of a data set that summarize information about the raw scores. Some types include distributions of scores, measures of central tendency, and measures of variability. Distributions of Scores Data can be organized into frequency distributions of various types.  Suppose 100 students were given a 20-item rating scale called the Test…

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Math Overview of Radical Expressions 150 150 Deborah

Math Overview of Radical Expressions

Overview Radical expressions are algebraic expressions that include roots, such as squares and cubes, variable expressions that include numerals, and expressions that can be factored as products of perfect squares or perfect cubes. Simplifying radical expressions is one way to more easily solve algebraic expressions that have them. The Radical Symbol The radical symbol √…

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Math Review of Difference of Squares 150 150 Deborah

Math Review of Difference of Squares

Overview The difference of squares is a common binomial pattern that can be factored as (x+b)(x-b). It can be used in situations involving estimation by making both elements a difference of squares. Perfect Squares In order for the pattern to work, both elements must be perfect squares. The variable x2 is a perfect square. So…

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Math Review of Solving Systems with Substitution 150 150 Deborah

Math Review of Solving Systems with Substitution

Overview One way to solve systems of equations with more than one variable is to substitute values of one variable for another.  Suppose that a variable y is equal to 2x.  One way to solve the equation x + y = 12 is by substituting x + 2x = 12 so that x is equal…

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Math Review of Multiplying Fractions and Rates 150 150 Deborah

Math Review of Multiplying Fractions and Rates

Overview Multiplication of fractions and rates with variables is similar to multiplying regular fractions and rates. It is important to cancel out common factors and units. The General Pattern The general pattern for multiplying fractions is to multiply the numerators and multiply the denominators to create a new fraction. In symbol form, the rule is…

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Math Review of the Tangent of an Angle 150 150 Deborah

Math Review of the Tangent of an Angle

Overview The tangent of an angle is a ratio of the length of a leg opposite an acute angle to the length of a leg adjacent to the acute angle in a right triangle. It is one of the basic trigonometric functions, and is related to many real-world measures of angles and navigation. Definition A…

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