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Variables and Algebraic Expressions 1-3

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Vocabulary Variable- a letter represents a number that can vary. Constant- a number that does not change. Algebraic expression- consists of one or more variables. It usually contains constants and operations. Evaluate- means to substitute a number for the variable.

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Evaluate k + 9 for each value of k. Additional Example 1: Evaluating Algebraic Expressions A. k = 5 k + 9 5 + 9 14 Substitute 5 for k. Add. B. k = 2 k + 9 Substitute 2 for k. Add.

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Check It Out: Example 1 Evaluate a + 6 for each value of a. Solve on your own. A. a = 3 B. a = 5

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Multiplication and division of variables can be written in several ways, as shown in the table. When evaluating expressions, use the order of operations.

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Evaluate the expression for the given value of the variable. Additional Example 2: Evaluating Algebraic Expressions Involving Order of Operations A. 4x – 3 for x = 2 4(2) – 3 8 – 3 5 Substitute 2 for x. Multiply. Subtract.

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Additional Example 2: Evaluating Algebraic Expressions Involving Order of Operations (Solve using the directions given.) B. s ÷ 5 + s, for s = 15 C. 5x 2 + 3x, for x = 2 Substitute 15 for s. Divide. Add. Substitute 2 for x. Evaluate the power. Multiply. Add.

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Check It Out: Example 2A (Solve on your own) Evaluate the expression for the given value of the variable. A. 3x – 2 for x = 3

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Evaluate Additional Example 3: Evaluating Algebraic Expressions with Two Variables 6a6a + 4b, for a = 3 and b = 2. 6a6a + 4b 6363 + 4(2) 2 + 8 10 Substitute 3 for a and 2 for b. Divide and multiply from left to right. Add.

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Check It Out: Example 3 (Solve on your own.) Evaluate 8w8w + 2x, for w = 4 and x = 2.

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