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Math Review of Decimals and Percent 150 150 Deborah

Math Review of Decimals and Percent

Overview Decimals and percent are used in many different types of mathematical calculations and applications. They require attention to detail to use correctly. Adding and Subtracting Decimals In order to add and subtract numbers that contain decimal points, the numbers must be aligned so that the place values are the same. Then they can be…

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Math Review of Higher Roots and Rational Exponents 150 150 Deborah

Math Review of Higher Roots and Rational Exponents

Overview Cube and fourth roots follow rules similar to those for square roots. The rules for rational exponents are an extension of the rules for exponents and roots. Cube Roots If any real number b3 equals c, then b is the cube root of c, when b is not equal to 0. For example, 23…

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Math Review of Linear Inequalities in One Variable 150 150 Deborah

Math Review of Linear Inequalities in One Variable

Overview Linear inequalities in one variable can be solved similarly to linear equations in one variable. Properties that hold for linear inequalities include properties of addition, subtraction, multiplication, and division, as well as those involving relationships between negative numbers. Properties of Inequalities There are four properties of inequalities that hold true for real numbers. The…

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Appropriate Sentence Construction for the SAT and ACT 600 428 School Tutoring

Appropriate Sentence Construction for the SAT and ACT

Overview: Some grammar questions on standardized tests such as the SAT and ACT ask students to apply the rules they have learned about sentence construction.  Sentence prompts may include dangling clauses, free-standing phrases, and run-on sentences.  The task is to choose the rewritten sentence that makes the most sense without changing the author’s intended meaning.…

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Math Review of Solving Linear Equations 150 150 Deborah

Math Review of Solving Linear Equations

Overview Linear equations can be solved by isolating the variable on one side of the equals sign. This can be done by using the addition and multiplication properties, whether the variable is on one side of the equals sign or there is a variable on both sides of the equals sign. Equations with the Variable…

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Math Review of Properties of Real Numbers 150 150 Deborah

Math Review of Properties of Real Numbers

Overview Real numbers are numbers on the number line. This includes positive and negative numbers, integers, rational numbers, irrational numbers, and the number zero. Real numbers have certain mathematical properties, including commutative, associative, distributive, identity, and inverse properties. Commutative Properties The commutative properties hold for addition and multiplication of real numbers. In symbol form, the…

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Math Review of Properties of Equality 150 150 Deborah

Math Review of Properties of Equality

Overview Both sides of an equation will remain equivalent as long as we add, subtract, multiply and divide by equivalent expressions. The properties of equality ensure that we can isolate and solve for variables. Equivalent Equations When two or more equations have the same solution, they are equivalent equations. For example, equations such as 2x…

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Properties of Probability 500 333 School Tutoring

Properties of Probability

Overview: Probability is the measure of the likelihood of an event.  The basic mathematics of probability theory started with games of chance, but it can be applied to many situations, from weather forecasting to politics.  Probabilities range from 0 (no likelihood) to 1 (certainty), and are expressed as rational numbers. What Is the Sample Space?…

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Math Review of Exponents and Scientific Notation 150 150 Deborah

Math Review of Exponents and Scientific Notation

Overview Scientific notation is a method of representing very large numbers with positive exponents and very small numbers with negative exponents. Although any number can be used as a base to an exponent, scientific notation uses the decimal system, base 10. The Decimal System The decimal system is based on powers of 10. The number…

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Math Review of Applications Using Rational Equations and Proportions 150 150 Deborah

Math Review of Applications Using Rational Equations and Proportions

Overview Many applied problems can be solved using rational equations and proportions. Some of the types of problems that can be solved include problems involving different rates of work, different rates of motion, proportions, or similar triangles. Work Problems Many problems that involve rates of work are actually rational equations. Suppose that it takes Geordi…

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