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Math Review of Systems of Linear Equations 150 150 Deborah

Math Review of Systems of Linear Equations

Overview Linear equations can form a system if two or more equations contain the same linear variables. A solution to a system of linear equations must be correct for both equations in the system. If a value solves one equation in the system but not the other, it is not a solution. Is It a…

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Math Review of Transforming Linear Functions 150 150 Deborah

Math Review of Transforming Linear Functions

Overview The graphs of linear functions can be transformed without changing the shape of the line by changing the location of the y intercept or the slope of the line. Those lines can be transformed by translation, rotation, or reflection, and still follow the slope-intercept form y = mx + b. Family of Functions The…

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English Review of Point of View 150 150 Deborah

English Review of Point of View

Overview Writers use different points of view in essays or stories in order to present and reveal information to their readers. They may choose first-person, second-person, or two types of third-person narrative devices. First Person First-person narratives tell the story from inside the mind and feelings of a chosen narrator, using pronouns such as I,…

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Math Review of Slopes of Parallel and Perpendicular Lines 150 150 Deborah

Math Review of Slopes of Parallel and Perpendicular Lines

Overview Lines representing graphs of linear equations have slopes, defined as the change in y/change in x. Parallel lines have the same slope, but no solutions in common. Perpendicular lines intersect at one point to form right angles. Finding Slopes of Parallel Lines Imagine a line graphing the equation y = 2x +3. Using the…

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Math Review of Direct Variation and the Slope Intercept Form 150 150 Deborah

Math Review of Direct Variation and the Slope Intercept Form

Overview A direct variation is a linear relationship between variables so they have a constant ratio. It is a special case of the slope-intercept form y =mx +b, where b = 0. Direct Variation Suppose that Papa’s Pizzeria has a lunch special on pizza, so that one slice sells for $2.00, 2 slices sell for…

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Science Review of Weathering and Erosion 150 150 Deborah

Science Review of Weathering and Erosion

Overview Surface processes such as weathering and erosion transform mountains and other landforms. Rocks and minerals disintegrate into sediment, and it is transported into other areas, building up new landforms. Mechanical Weathering At the surface, rocks and minerals crumble into smaller pieces from a variety of forces. Many of these forces, known as mechanical weathering,…

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Science Review of Mountain Formation 150 150 Deborah

Science Review of Mountain Formation

Overview Mountains form as a result of intense tectonic forces. Mountain chains such as the Andes and the Himalayas rise from the collisions of continental plates, as rocks are folded, uplifted, and faulted. Mountains Mountains have peaks that are at higher elevation than the surrounding land. The definition of a mountain usually includes the height…

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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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