Download Elementary Algebra by Charles P. McKeague (Auth.) PDF

By Charles P. McKeague (Auth.)

ISBN-10: 0124847552

ISBN-13: 9780124847552

Quite transparent and available, Pat McKeague's best-selling texts supply the entire overview, drill, and perform scholars have to improve reliable mathematical talent and self assurance. McKeague's consciousness to element, extraordinary writing kind, and association of mathematical strategies make instructing stress-free and studying available. The 7th variation of this renowned sequence provides the booklet a better emphasis at the connections among equations, tables, and graphs and by way of incorporating pedagogy that addresses collaborative studying and terminology

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Additional resources for Elementary Algebra

Sample text

2 introduced real numbers. In this section we will classify the different subsets of the real numbers and look at some relationships among them. Set A is called a subset of set B if set A is contained in set B. That is, if each and every element in set A is also a member of set B. DEFINITION The set of counting numbers (the numbers we use to count) is the set {1, 2, 3, . } (remember, the dots mean "and so on"). Since each of these numbers is also a real number, we say the counting numbers are a subset of the real numbers.

Xx+ fl + y + xxm4+ 12 = 2= 7 5= 4 8 = -l 10 = - 4 3 = -1 3 = -5 10 = - 6 je = 7 Ö - 3 -5 = x - 4 Simplify both sides of the following equations as much as possible and then solve. 21. 23. 25. 27. 29. 31. 33. 35. 4x + 2 - 3x = 4 + 1 8a - 5 - la = 3 + 5 - 3 - 4x + 5x = 18 -11X + 2 + 10*+ 2* = 9 - 3 + 4 = 8x - 5 - 7x 2y - 10 + y - Ay = 18 - 6 15 - 21 = 8x + x - 10* 2 4 - 3 + 8 a - 5 a - 2 a = 21 22. 24. 26. 5x + 2 - 4x = 7 - 3 9a - 18 - 8a = 20 - 7 10 - 3x + 4x = 20 28. -10Χ + 5 - 4 Λ : + 30. 32. 34.

The last one is just easier to read. Here are some further examples of how the addition property of equality can be used to solve equations. ▼ Examples Solve the following equations. 4. x - 5 = 12 SOLUTION Since we want x alone on the left side, we choose to add +5 to both sides. x—5 + 5 = 12+5 x + 0 = 17 JC = 17 Addition property of equality 52 Chapter 2 Linear Equations and Inequalities 5. a + 7 = - 3 SOLUTION Since we want a to be by itself, we will add the opposite of 7 to both sides. a + 7 + (-7) = - 3 + (-7) ö + 0 =-10 a = -l0 Addition property of equality 6.

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Elementary Algebra by Charles P. McKeague (Auth.)


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