# Elementary and Intermediate Algebra (5th Edition) by R. David Gustafson, Alan S. Tussy

By R. David Gustafson, Alan S. Tussy

Algebra should be like a international language, yet straightforward AND INTERMEDIATE ALGEBRA, 5E, can provide the instruments and perform you must absolutely comprehend the language of algebra and the "why" at the back of challenge fixing. utilizing procedure and Why factors in labored examples and a six-step challenge fixing process, hassle-free AND INTERMEDIATE ALGEBRA, 5E, will consultant you thru an built-in studying strategy that may extend your reasoning skills because it teaches you the way to learn, write, and imagine mathematically. believe convinced approximately your talents via extra perform within the textual content and more suitable WebAssign. With user-friendly AND INTERMEDIATE ALGEBRA, 5E, algebra will make feel since it is not only concerning the x...it's additionally in regards to the WHY.

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**Example text**

Self Check 3 Now Try Translate into an equation: The number of unsold tickets is the difference of 500 and the number of tickets that have been purchased. Problems 41 and 45 In the snowboarding example, we have seen that a table, a graph, and an equation can be used to describe the relationship between calories burned and workout time. The equation c ϭ 10m has one major advantage over the other methods. It can be used to accurately determine the number of calories burned during a snowboarding workout of any length of time.

Work upward. Perform repeated division until the final quotient is a prime number. It is helpful to start with the smallest prime, 2, as a trial divisor. Then, in order, try larger primes as divisors: 3, 5, 7, 11, and so on. Either way, the factorization is 2 ؒ 3 ؒ 5 ؒ 7. To check it, multiply the prime factors. The product should be 210. Self Check 1 Now Try Find the prime factorization of 189. Problems 15 and 23 ẅ Recognize Special Fraction Forms. ” numerator ᮡ The Language of Algebra A fraction describes the number of equal parts of a whole.

Why Solution The Language of Algebra Prime factors often are written in ascending order. To ascend means to move upward. To prime factor a number means to write it as a product of prime numbers. First, write 210 as the product of two natural numbers other than 1. 210 ϭ 10 ؒ 21 The resulting prime factorization will be the same no matter which two factors of 210 you begin with. Neither 10 nor 21 are prime numbers, so we factor each of them. 210 ϭ 2 ؒ 5 ؒ 3 ؒ 7 Factor 10 as 2 ؒ 5 and factor 21 as 3 ؒ 7.