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Ch4 Notes (F09) - Section 4-1 Variables One major part of...

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1 Section 4-1 Variables One major part of algebra is the concept of a variable. In arithmetic there are only fixed numbers (constants), but in algebra values may vary, so they are called variables. An algebraic expression is a mathematical expression containing variables, numbers, and operation symbols. Examples : Write each of the following statements in algebraic form: a) 3 times a number b) 5 less than a number c) 2 greater than 5 times a number d) The difference between a number and the square of the number Example : Translate the following information into algebraic form. Take any number. Add 5 to it. Multiply the sum by 10. Subtract 10. Divide the difference by 2. Subtract 20 from the quotient and tell me the answer.
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2 Example : Consider the following pattern. How many gray tiles are in the n th figure? How many white tiles are in the n th figure? Example : Consider the following pattern. How many gray tiles are in the n th figure? How many white tiles are in the n th figure?
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3 Example : The following pictures show 3 shopping bags, the contents of each bag, and the price for each bag. How much does each item cost? $7 $8 $9 Section 4-2 Equations Variables are usually associated with equations. The equal sign indicates that the left side of the equation is equal to the right side of the equation.
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