MATH 0701 Lecture Notes - Lecture 4: Distributive Property, Empty Set, Mutual Fund
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Section 3. 1 addition property of equality . Rule: a = b is equivalent to a + c = b + c where a, b, and c are real numbers. (objective a) solving equations by using the additive property: if necessary, remove inclusion symbols (parentheses, etc. ) Use distributive property, if necessary: if necessary, simplify both sides by combining like terms, if necessary, use additive property, check your answer. Example 1: 4b + 7 3b 2 = -3. Check: 4(-8) + 7 3(-8) 2 = -3. *there are many different ways to translate these two concepts, as there are many different words for addition, subtraction, etc. If your answer is not exactly what is on the answer sheet, that is okay: x + 8 = 5, the sum of a number and eleven is twenty-nine. Solve: the difference of a number and six is fourteen, the cost of a car is ,500 less than the cost of a minivan.