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English Review of Abstract and Concrete Language 150 150 Deborah

English Review of Abstract and Concrete Language

Overview Writers can make essays more vivid by providing specific, concrete examples for abstract concepts and language. Effective writing requires a balance between the two. Abstract concepts without development are unclear, but a list of concrete examples appear disorganized. Abstract Language Abstract language includes words that express thoughts and ideas, such as bravery, freedom, love,…

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English Review of Eliminating Wordiness 150 150 Deborah

English Review of Eliminating Wordiness

Overview Wordiness errors obscure the writer’s message under unnecessary verbiage, such as redundant words or phrases, passive voice, weak “to be” verb forms, and unnecessary expressions. Close reading and editing can eliminate many of them before an essay is in final form. Redundancy Some types of wordiness include redundant words or phrases.  In the sentence,…

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Math Review of Rate of Change and Slope 150 150 Deborah

Math Review of Rate of Change and Slope

Overview The rate of change is a ratio that compares the change in values of the y variables to the change in values of the x variables. If the rate of change is constant and linear, the rate of change is the slope of the line. The slope of a line may be positive, negative,…

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Math Review of Intercepts 150 150 Deborah

Math Review of Intercepts

Overview A linear function follows the standard form ax + by = c. The intercepts are the points where the line intersects each axis. A line can be graphed by connecting the intercepts. Definitions The y-intercept is the point at which the line intersects the y axis. At the y axis, the value of x…

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Science Review of the Ocean Floor 150 150 Deborah

Science Review of the Ocean Floor

Overview Although much of the area of the ocean floor is unexplored, scientists have been able to find features that are common to all areas. The landforms that make up the ocean floor are different from those that make up the continents. A huge mountain range called the Mid-Oceanic Ridge divides sections of the oceans,…

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Science Review of X-Ray Astronomy 150 150 Deborah

Science Review of X-Ray Astronomy

Overview Astronomers have discovered many high-energy objects in the sky that give off X-rays. Since the atmosphere blocks most X-rays from reaching observatories on Earth, astronomers have used telescopes from high-altitude balloons, rockets, and satellites to observe thousands of sources. X-Ray Sources X rays are part of the electromagnetic spectrum in high energy ranges beyond…

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English Review of Comma Errors 150 150 Deborah

English Review of Comma Errors

Overview Commas separate parts of a sentence grammatically, as well as separate items in a series. Without commas separating clauses, some of the meaning can be changed or lost. Commas in Series Use commas to separate each word, clause, or phrase in a series of three or more. For example, “She bought bread, milk, eggs,…

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English Review of Pronoun Errors 150 150 Deborah

English Review of Pronoun Errors

Overview Some common types of pronoun errors include pronoun agreement, pronoun ambiguity, pronoun shifts, and pronoun case. Those errors affect clarity of expression. Pronoun Agreement Pronouns should agree in number, person, and gender with the noun or noun phrase to which they refer. A singular pronoun refers back to a singular noun and a plural…

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Math Review of Linear Functions 150 150 Deborah

Math Review of Linear Functions

Overview In order for functions to be linear, they must follow two criteria. First, each domain value must be paired with one range value. If a domain value is paired with more than one range value, the relationship is not a function. Second, the paired domain and range values must fall on a line to…

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Math Review of Arithmetic Sequences 150 150 Deborah

Math Review of Arithmetic Sequences

Overview Arithmetic sequences are sequences in which the difference between one term and the next term is a constant amount. They can be defined by developing a rule that relates that constant to the pattern. Finding the Pattern The first step in determining the sequence is to arrange the terms in order. Suppose there is…

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