Download e-book for kindle: Algebra II (Cliffs Quick Review) by Edward Kohn, David Alan Herzog

By Edward Kohn, David Alan Herzog

ISBN-10: 0764563718

ISBN-13: 9780764563713

In terms of pinpointing the belongings you actually need to understand, not anyone does it larger than CliffsNotes. This quick, powerful educational is helping you grasp center algebraic ideas -- from linear equations, kinfolk and services, and rational expressions to radicals, quadratic structures, and factoring polynomials -- and get the absolute best grade.
At CliffsNotes, we're devoted to aiding you do your top, irrespective of how hard the topic. Our authors are veteran academics and gifted writers who know the way to chop to the chase -- and nil in at the crucial details you want to be triumphant.

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Y 4 3 3x + 4y <12 2 1 −3 −2 −1 1 2 3 x 3x + 4y = 12 4 −1 −2 −3 Example 14: Graph y ≥ 2x + 3. First, graph y = 2x + 3 (see Figure 2-13). Figure 2-13 This boundary is solid. y 5 (1,5) 4 3 (0,3) 2 (−1,1) −3 −2 −1 1 1 2 3 x −1 −2 y = 2x + 3 −3 Notice that the boundary is a solid line, because the original inequality is ≥. Now, select a point not on the boundary, say (2, 1), and substitute its x and y values into y ≥ 2x + 3. F 38 4/19/01 8:50 AM Page 38 CliffsQuickReview Algebra II y ≥ 2x + 3 ? 1 $ 2(2) + 3 ?

Select a point not on the boundary line and substitute its x and y values into the original inequality. 3. Shade the appropriate area. If the resulting sentence is true, then shade the region where that test point is located, indicating that all the points on that side of the boundary line will make the original sentence true. If the resulting sentence is false, then shade the region on the side of the boundary line opposite to where the test point is located. F 36 4/19/01 8:50 AM Page 36 CliffsQuickReview Algebra II Example 13: Graph 3x + 4y < 12.

A horizontal line that is not the x-axis will have no x-intercept. F 30 4/19/01 8:50 AM Page 30 CliffsQuickReview Algebra II ■ y-intercept. The y-intercept of a graph is the point at which the graph will intersect the y-axis. It will always have an x-coordinate of zero. A vertical line that is not the y-axis will have no y-intercept. One way to graph a linear equation is to find solutions by giving a value to one variable and solving the resulting equation for the other variable. A minimum of two points is necessary to graph a linear equation.

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Algebra II (Cliffs Quick Review) by Edward Kohn, David Alan Herzog


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