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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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Grammar Review : Choosing the Correct Pronoun on the ACT and SAT 392 257 School Tutoring

Grammar Review : Choosing the Correct Pronoun on the ACT and SAT

Overview:  What Are Pronouns? Pronouns are word forms that substitute for nouns.  They differ from nouns in that the correct pronoun form depends on the function it takes within the sentence.  Nouns in English only change form when they are possessive.  Otherwise, the same word forms are used whether they are the subject or the…

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Math Review of Slopes and Lines 150 150 Deborah

Math Review of Slopes and Lines

Overview Values for x and y can be graphed on the Cartesian coordinate plane.  If x and y are terms in a linear equation, they can be graphed in a line. The measurement of the rate of change between variables gives the slope of the line. Rate of Change Many values for variables can be graphed…

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Math Review of Applications of Parabolas 150 150 Deborah

Math Review of Applications of Parabolas

Overview A parabola is a graph of a quadratic equation. It is a U-shaped curve with an axis of symmetry. Many different objects in the real world follow the shape of a parabola, such as the path of a ball when it is thrown, the shape of the cables on a suspension bridge, and the…

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Chemistry and Physics Review of Energy 150 150 Deborah

Chemistry and Physics Review of Energy

Overview Energy provides the capacity of matter to do work.  Without it, there would be no chemical reactions or physical reactions and matter would be inert.  It exists in forms such as potential energy and kinetic energy, and can be measured as heat. Potential Energy Potential energy is stored energy.  Water behind a dam is…

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