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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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Math Review of Operations with Polynomials with More than One Variable 150 150 Deborah

Math Review of Operations with Polynomials with More than One Variable

Overview Polynomials with more than one variable are often used in applications when one variable has a relationship with another. Special attention to combining like terms is essential to solving them correctly. Combining Like Terms The expressions that contain like terms have exactly the same variables with the same exponents. For example, 3x2y4 can be…

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Math Review of Direct and Inverse Variation 150 150 Deborah

Math Review of Direct and Inverse Variation

Overview Direct and inverse variation refer to relationships between variables, so that when one variable changes the other variable changes by a specified amount. Both direct and inverse variation can be applied in many different ways. Figure 1: Definitions of direct and inverse variation. Direct Variation Direct variation means that as one variable increases, another…

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Math Review of Random Numbers 640 426 School Tutoring

Math Review of Random Numbers

Overview:  What Are Random Numbers? In a set of random numbers, the numbers do not follow any pattern.  Each number has an equal probability of occurring, and each number event is independent of any others .  Most of the time, numbers that are close to random are generated by computer programs or calculator programs designed…

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