Henry Sinclair Hall; Samuel Ratcliff Knight's Higher algebra: a sequel to Elementary algebra for schools PDF

By Henry Sinclair Hall; Samuel Ratcliff Knight

ISBN-10: 1402179650

ISBN-13: 9781402179655

This Elibron Classics ebook is a facsimile reprint of a 1907 variation through Macmillan and Co., constrained, London. 4th variation

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Extra resources for Higher algebra: a sequel to Elementary algebra for schools

Example text

In Figure 1, the x-axis and y-axis are labeled as x and y, respectively, and an arrow at the end of each axis is used to denote the positive direction. The coordinate system described here is called a rectangular or Cartesian* coordinate system. The plane formed by the x-axis and y-axis is sometimes called the xy-plane, and the x-axis and y-axis are referred to as the coordinate axes. Any point P in the xy-plane can be located by using an ordered pair 1x, y2 of real numbers. Let x denote the signed distance of P from the y-axis (signed means that, if P is to the right of the y-axis, then x 7 0, and if P is to the left of the y-axis, then x 6 0); and let y denote the signed distance of P from the x-axis.

Points: 11, 22; 10, 12; 1 - 1, 02 Points: 10, 22; 1 - 2, 22; 1 22, 22 2 15. y = x + 2 16. y = x - 6 17. y = 2x + 8 18. y = 3x - 9 19. y = x2 - 1 20. y = x2 - 9 21. y = - x2 + 4 22. y = - x2 + 1 23. 2x + 3y = 6 24. 5x + 2y = 10 25. 9x2 + 4y = 36 26. 2 Graphs of Equations in Two Variables; Intercepts; Symmetry 17 In Problems 27–36, plot each point. Then plot the point that is symmetric to it with respect to (a) the x-axis; (b) the y-axis; (c) the origin. 27. 13, 42 28. 15, 32 32. 1 - 1, - 12 29. 1 - 2, 12 33.

If you get a wrong answer, read the pages listed in red. 1. Solve the equation 2(x + 3) - 1 = - 7. (pp. A64–A66) 2. Solve the equation x 2 - 4x - 12 = 0. (pp. A67–A68) Concepts and Vocabulary 3. The points, if any, at which a graph crosses or touches the coordinate axes are called . 6. True or False To find the y-intercept(s) of the graph of an equation, let x = 0 and solve for y. 4. Because the x-intercepts of the graph of an equation are those x-values for which y = 0, they are also called or .

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Higher algebra: a sequel to Elementary algebra for schools by Henry Sinclair Hall; Samuel Ratcliff Knight


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