By Bernard Kolman; Arnold Shapiro

A modern method of university algebra is supported by way of not obligatory pics calculator fabric

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2) naturaJ numbers (p. 2) integers (p. 2) rationaJ numbers (p. 2) irrationaJ numbers (p. 3) real number system (p. 3) equal (p. S) factor (p. 7) real number line (p. 10) origin (p. nonnegative (p. I 0) <, >, �. :: (p. 10) inequality symbols (p. 10) 10) 33. 37. 41. the 4S. 11) inequalities (p. absolute value (p. 12) I I (p. 12) AB (p. 1 3) variable (p. algebraic expression (p. lS) constant (p. 15} algebraic operations (p. 1 5) evaluate (p. lS) base (p. 15) exponent (p. 15) power (p. 15) polynomial (p.

3a) + (-3a) 0 9. (3 + 4)x 3x + 4x 10. 2x + 2y + z = 2x + z + 2y I I . 2 In Exercises 12-14 sketch the given set of numbers on = = = a real number line. 12. 13. 14. 15. 16. 3 17. x such that x > 4. The real numbers x such that - I :s: x < I . Find the value of 1-31 - 11 - 51. The real numbers Find PQ if the coordinates of P and Q are and 6, respectively. 25x + 0. 15y t x y the number of miles driven. Find the amount due 18. L 9 30. 3(x2 - y2) -7xy2 31. 2Y2 3Y b a2 - 4b2 32. aa++2b • a2 b2 - 2x - 3 x2 - 4x + 3 33.

D Most of the rules of arithmetic for handling fractions carry over to rational expressions. For example, the LCD has the same meaning except that we deal with polynomials in factored form rather than with inte­ gers. 0 The rules for positive integer exponents also apply to zero and negative integer exponents and to rational exponents. 0 Radical notation is simply another way of writing a rational exponent. That is, -v'b = b11". D If n is even and b is positive, there are two real numbers a such that b11" = a.

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