Download e-book for kindle: 101 Problems in Algebra From the Training of the USA IMO by Andreescu T., Feng Z.

By Andreescu T., Feng Z.

ISBN-10: 187642012X

ISBN-13: 9781876420123

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Extra info for 101 Problems in Algebra From the Training of the USA IMO Team (Enrichment Series, Volume 18)

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You can now think of Ϫ5 in two ways: as negative 5 and as the opposite of 5. Using the same idea, we can write the opposite of a negative number. The opposite of Ϫ3 is Ϫ(Ϫ3). Since we know from looking at the number line that the opposite of Ϫ3 is 3, this means that Ϫ(Ϫ3) ϭ 3 So the opposite of a negative number must be positive. We summarize our results: Property The Opposite of a Real Number 1. The opposite of a positive number is negative. 2. The opposite of a negative number is positive. 3.

Objective 3 > Add. Write each result in simplest form. 2 5 1 4 2 3 3 10 69. ᎏᎏ ϩ ᎏᎏ 70. ᎏᎏ ϩ ᎏᎏ 7 2 71. ᎏᎏ ϩ ᎏᎏ 15 5 2 4 72. ᎏᎏ ϩ ᎏᎏ 3 5 5 3 73. ᎏᎏ ϩ ᎏᎏ 12 8 5 7 74. ᎏᎏ ϩ ᎏᎏ 36 24 7 30 5 18 76. ᎏᎏ ϩ ᎏᎏ 7 15 13 18 75. ᎏᎏ ϩ ᎏᎏ 77. ᎏᎏ ϩ ᎏᎏ 1 5 1 10 > Videos 1 15 79. ᎏᎏ ϩ ᎏᎏ ϩ ᎏᎏ 9 14 10 21 12 25 19 30 78. ᎏᎏ ϩ ᎏᎏ 1 3 1 5 1 10 80. 1 13 Baratto−Bergman: Elementary and Intermediate Algebra, Fourth Edition 0. 1 exercises Subtract. Write each result in simplest form. Answers 8 9 3 9 81. ᎏᎏ Ϫ ᎏᎏ 81. 6 10 6 7 2 7 4 9 2 5 2 3 7 11 83.

63. SCIENCE AND MEDICINE A 10°F temperature decrease in an hour 64. STATISTICS An eight-game losing streak by the local baseball team 64. 65. SOCIAL SCIENCE A 25,000-person increase in a city’s population 65. 66. BUSINESS AND FINANCE A country exported $90,000,000 more than it imported, creating a positive trade balance. 66. 67. Basic Skills | Challenge Yourself | Calculator/Computer | 68. Career Applications | Above and Beyond Use a real number to represent each quantity. Be sure to include the appropriate sign and unit with each answer.

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101 Problems in Algebra From the Training of the USA IMO Team (Enrichment Series, Volume 18) by Andreescu T., Feng Z.


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