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Math Review of Factoring by Grouping 150 150 Deborah

Math Review of Factoring by Grouping

Overview Factoring by grouping is the best method to use when some terms in a polynomial share one common factor and some other terms in the same polynomial share another common factor. The common factors can then be factored out using the distributive property. Determine the Common Factors The first step is to determine if…

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Math Review of Factoring a Monomial from a Polynomial 150 150 Deborah

Math Review of Factoring a Monomial from a Polynomial

Overview Factoring a monomial from a polynomial is a process of finding the greatest common factor for the constants, the greatest common factor for the variable terms, and then using the distributive property to factor out the greatest common factor (GCF). Identifying Factors In symbol form, if a ∙ b = c, then both a…

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Math Review of Solving Application Problems 150 150 Deborah

Math Review of Solving Application Problems

Overview Solving application problems is a process that includes understanding the problem, translating it into an equation, solving the equation, checking the answer, and answering the question. This process can be used to solve many different types of problems. Understanding and Setting up The Application Problem The first part of the process involves understanding what…

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Math Review of Changing Application Problems into Equations 150 150 Deborah

Math Review of Changing Application Problems into Equations

Overview The first step in solving real-world problems mathematically is to change the problem into an equation. Sometimes, it is a matter of deciding what operations need to be used. It is also a matter of seeing how quantities relate to one another. Operations Words and phrases that represent addition include such things as added…

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Math Review of Operations with Real Numbers 150 150 Deborah

Math Review of Operations with Real Numbers

Overview Real numbers include rational and irrational numbers, whole numbers, positive and negative integers, and the number 0. They can be used in operations such as addition, subtraction, multiplication, and division, as well as in expressions involving variables. Real Numbers Real numbers include many different types of numbers that are familiar, such as positive and…

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Math Review of Binomial Distributions 849 565 School Tutoring

Math Review of Binomial Distributions

Overview A binomial experiment  has a fixed number of independent trials, and each trial has only two possible outcomes.  Each of the trials has the same probability of success.  The probability distribution is called a binomial distribution. What Types of Problems Are Binomial? All the characteristics of a binomial experiment are present, then the distribution…

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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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