By Richard.. Aufmann
As in earlier variants, the point of interest in INTRODUCTORY ALGEBRA is still at the Aufmann Interactive approach (AIM). scholars are inspired to be lively contributors within the school room and of their personal experiences as they paintings throughout the find out how to examples and the paired Examples and also you attempt It difficulties. The function of "active player" is essential to luck. offering scholars with labored examples, after which supplying them with the chance to right away paintings related difficulties, is helping them construct their self belief and finally grasp the suggestions. so far, simplicity performs a key consider the association of this variation, as in all different versions. All classes, workout units, exams, and vitamins are geared up round a carefully-constructed hierarchy of targets. This "objective-based" procedure not just serves the desires of scholars, when it comes to supporting them to obviously manage their suggestions round the content material, yet teachers to boot, as they paintings to layout syllabi, lesson plans, and different administrative records. The 8th variation contains a new layout, improving the Aufmann Interactive strategy and the association of the textual content round goals, making the pages more uncomplicated for either scholars and teachers to keep on with.
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Extra resources for Introductory Algebra: An Applied Approach (Eighth Edition)
Find the GCF of 36 and 90. Determine the prime factorization of each number. HOW TO • 6 36 ϭ 2 90 ϭ 2 #2# 3# # 3# 3# • The common factors are shown in red. 3 5 The GCF is the product of the prime factors common to each number. The GCF of 36 and 90 is 2 EXAMPLE • 4 3 ϭ 18. YOU TRY IT • 4 Find the LCM of 15, 20, and 30. Solution 15 ϭ 3 # 5 20 ϭ 2 # 2 # 5 LCM ϭ 2 # 2 # 3 # 5 ϭ 60 Find the LCM of 20 and 21. 30 ϭ 2 #3# Your solution 5 EXAMPLE • 5 YOU TRY IT • 5 Find the GCF of 30, 45, and 60. Solution 30 ϭ 2 # 3 # 5 45 ϭ 3 GCF ϭ 3 # 5 ϭ 15 #3# #3# 5 Find the GCF of 42 and 63.
The sum is below the tip of the second arrow. Ϫ4 ϩ 1Ϫ2 2 ϭ Ϫ6 4ϩ2ϭ6 +4 – 4 –3 –2 –1 0 1 2 +2 3 4 5 −2 6 7 −4 –7 –6 –5 – 4 –3 –2 –1 0 1 2 3 4 4 5 6 7 4 ϩ 1Ϫ2 2 ϭ 2 Ϫ4 ϩ 2 ϭ Ϫ2 +4 −4 −2 +2 –7 –6 –5 – 4 –3 –2 –1 0 1 2 3 4 – 4 –3 –2 –1 0 1 2 3 The pattern for addition shown on the number lines above is summarized in the following rules for adding integers. Addition of Integers To add two numbers with the same sign, add the absolute values of the numbers. Then attach the sign of the addends. To add two numbers with different signs, find the absolute value of each number.
When you’re done with the Chapter Review Exercises, check your answers. If you had trouble with any of the questions, you can restudy the objectives and retry some of the exercises in those objectives for extra help. AIM FOR SUCCESS xxix CHAPTER TESTS The Chapter Tests can be found after the Chapter Review Exercises and can be used to prepare for your exams. The answer to each test question is given at the back of the book, along with a reference to a How To, Example, or You Try It that the question relates to.