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Math Review of Complex Rational Expressions 150 150 Deborah

Math Review of Complex Rational Expressions

Overview A complex rational expression contains a fraction within a fraction. In math language, it is a rational expression that has one or more rational expressions contained within the numerator, denominator, or both. It may or may not contain variables within it. The fractions in the numerator or denominator must be simplified first, before the…

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ACT Science: Data Representation 425 282 School Tutoring

ACT Science: Data Representation

The ACT science exam does not require students to have in-depth understanding of biology, chemistry and/ or physics. It simply tests students on how to read and analyze  scientific passages. One of the passage types for ACT Science is data representation. Students will be asked to analyze tables, bar graphs, scatter plots, pie chart, histograms…

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Math Review of the Slope-Intercept Equation 150 150 Deborah

Math Review of the Slope-Intercept Equation

Overview The slope-intercept equation (y = mx + b) is a linear equation that gives both the slope of a line and where the line crosses the y-axis. It has many applications outside of mathematics, from construction and describing the grade of terrain to describing the results of scientific experiments if there is a linear…

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Deciphering Meaning from Reading Passages on the SAT and ACT 720 480 School Tutoring

Deciphering Meaning from Reading Passages on the SAT and ACT

Overview Questions about longer reading passages on the SAT, ACT, and other standardized tests tap students’ abilities to find and use meaning from what they read.  These skills are important to college success, as students are expected to read and understand textbooks in unfamiliar subjects.  Students are expected to extract the main ideas from what…

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Solving Integrals Through the Use of Integration by Parts 150 150 oren

Solving Integrals Through the Use of Integration by Parts

Overview Suppose we have an integral which appears unsolvable by ordinary means, such as ∫xsin(x)dx In many cases, we can do what is called integration by parts, which is where we split the equation we are taking the integral of into two parts, with the goal of simplifying the equation such that we can reduce…

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How to Use the Chain Rule to Find Derivatives 150 150 oren

How to Use the Chain Rule to Find Derivatives

Overview Occasionally, you will have what are called composite functions; that is, functions that are composed of multiple functions and thus cannot be differentiated easily. In reality, although these may look tricky, they are actually fairly straightforward. Function composed of two functions Suppose we have an equation written as f(g(x)). Then d/dx f(g(x)) = f’(g(x))g’(x)…

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U Substitution as a Method of Solving Integrals 150 150 oren

U Substitution as a Method of Solving Integrals

Overview Sometimes, a derivative is done using the chain rule, and it leaves with an equation that, at first glance, can look intractable when we are attempting to integrate it. In those cases, although the problem may look difficult or often will look like something that can only be solved through the use of Integration…

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Factoring Trinomials when the Squared Term Has a Coefficient Greater than 1 150 150 Deborah

Factoring Trinomials when the Squared Term Has a Coefficient Greater than 1

Overview When the coefficient of the squared term is greater than 1, an extra step is added to factoring the trinomial. It can be factored by either using FOIL or a modified form of factoring by grouping. Factoring the Squared Term When the squared term of a quadratic trinomial is x2 with a coefficient of 1,…

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Factoring Trinomials when the Squared Term Has a Coefficient of 1 150 150 Deborah

Factoring Trinomials when the Squared Term Has a Coefficient of 1

Overview Trinomials are a special type of polynomials that have three terms, usually a squared term, a coefficient times the term that is to the first power, and a constant. In this review, the squared term has a numerical coefficient of 1. Trinomials when the Squared Term Has a Coefficient of 1 The type of…

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Recognizing Nonstandard English: Diction Errors 610 400 School Tutoring

Recognizing Nonstandard English: Diction Errors

Overview Diction errors are types of errors when the incorrect word is used in a nonstandard way.  Some word usage is colloquial: out of place in a formal essay.  Other errors in word usage occur when similar words are used in the incorrect context. What about Lots or A Lot? The use of lots or…

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