Elementary

Download Algebra for College Students by Margaret L. Lial, John Hornsby, Terry McGinnis PDF

By Margaret L. Lial, John Hornsby, Terry McGinnis

The Lial sequence has helped hundreds of thousands of scholars reach developmental arithmetic via its pleasant writing variety, a number of reasonable examples, large challenge units, and entire vitamins package deal. in accordance with its confirmed music list, this revision encompasses a new open layout, extra routines and purposes, and extra beneficial properties to assist either scholars and teachers be successful.

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To solve the linear equation 8x 2x Ϫ ෇ Ϫ13, 3 4 we are allowed to multiply each side by the least common denominator of all the fractions in the equation. What is this least common denominator? 32. 12͑x ϩ 5000͒ ෇ 940, we multiply each side by a power of 10 so that all coefficients are integers. What is the smallest power of 10 that will accomplish this goal? 33. Suppose that in solving the equation 1 1 1 x ϩ x ෇ x, 3 2 6 you begin by multiplying each side by 12, rather than the least common denominator, 6.

5 = 10. Area of total rectangle is 2(3 + 5) = 16. FIGURE 16 This idea is illustrated by the divided rectangle in Figure 16. Similarly, Ϫ4͓5 ϩ ͑Ϫ3͔͒ ෇ Ϫ4͑2͒ ෇ Ϫ8 and Ϫ4͑5͒ ϩ ͑Ϫ4͒͑Ϫ3͒ ෇ Ϫ20 ϩ 12 ෇ Ϫ8, so Ϫ4͓5 ϩ ͑Ϫ3͔͒ ෇ Ϫ4͑5͒ ϩ ͑Ϫ4͒͑Ϫ3͒. These arithmetic examples are generalized to all real numbers as the distributive property of multiplication with respect to addition, or simply the distributive property. An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. 4 Review of the Real Number System Properties of Real Numbers The study of any object is simplified when we know the properties of the object.

R 64 CHAPTER 2 Linear Equations, Inequalities, and Applications 9 C ϩ 32 for C 5 (Celsius to Fahrenheit) 5 ͑F Ϫ 32͒ for F 9 (Fahrenheit to Celsius) 17. F ෇ 18. C ෇ 19. When a formula is solved for a particular variable, several different equivalent forms 1 may be possible. If we solve A ෇ 2 bh for h, one possible correct answer is h෇ 2A . b Which one of the following is not equivalent to this? ͩͪ A A. h ෇ 2 b ͩͪ 1 B. h ෇ 2A b A C. h ෇ 1 b 2 1 A 2 D. h ෇ b 20. Suppose the formula A ෇ 2HW ϩ 2LW ϩ 2LH is solved for L as follows.

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