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Pre Test Write and answer the following problems in your spiral notebook. 1) Simplify. 4 2 2) Write 2y 2y 2y in exponential form. 16 (2y) 3 4 4 A power applies only to what is directly in front of it. The 2y must be in parentheses!

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1-2A Order of Operations addition, subtraction, multiplication and division Be smart - correct your odd homework problems after you complete them! Algebra 1 Glencoe McGraw-HillLinda Stamper

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simplify To simplify an expression means to replace the expression with the simplest name for its value. order When the expression involves more than one operation the order in which you perform operations can affect the value of an expression. 7 To avoid confusion, mathematicians have agreed on an order of operations. Glencoe uses evaluate instead of simplify!

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In arithmetic and algebra, order of operations is used to simplify an expression involving more than one operation. First do operations within grouping symbols. Then evaluate powers. Then do multiplication and division from left to right. Finally, do addition and subtraction from left to right. ( ), [ ], { } A fraction bar also acts as a grouping symbol. It indicates that the numerator and denominator should each be treated as a single value.

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Write the problem. 15 ÷ 3 6 - 4 2 Follow rules for order of operations. 5 6 - 16 14 Evaluate the expression. 30 Remember: Some expressions have operations that have the same priority, such as multiplication and division or addition and subtraction. The left-to-right rule states that when operations have the same priority, you perform them in order from left to right. - 16 15 ÷ 3 6 - 16 A power applies only to what is directly in front of it.

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Write the problem. 15 ÷ 3 6 - 4 2 Follow rules for order of operations. 5 6 - 16 14 Evaluate the expression. 30 - 16 15 ÷ 3 6 - 16 In algebra work downward in columns. Skip one line after the answer. Highlight, box or circle your answer. You may find it helpful to fold your paper in half lengthwise to create 2 columns. Copy the white highlighted information in your spiral notebook!

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Create an answer column in the margin of your spiral notebook. Number it from 1 to 14 – do NOT skip lines.

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8 6 2 ÷ 3 32 + 7 2 – 5 2 2(5) + 3(4 + 3) Evaluate the expression. Example 1 Example 2 Example 3 (15 9) + 3 6 48 ÷ 2 3 3 + 5 (8 - 3) 3(3 + 2) Example 4 Example 5 Example 6 8 12 ÷ 3 8 4 4 32 + 49 – 5 2 32 + 49 – 10 81 – 10 71 2(5) + 3(7) 10 + 21 31 6 + 3 6 6 + 18 24 48 ÷ 8 3 + 5 6 3 + 5 18 + 5 23 (5) 3(5) (5) 15 75

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2[5 + ( 30 ÷ 6) 2 ] 45 + [(1 + 1) 3 ÷ 4] 4[12 ÷ (6 - 2)] 2 Evaluate the expression. Example 7 Example 8 Example 9 Example 10 Example 11 Example 12 2[5 + (5) 2 ] 2[5 + 25] 60 45 + [(2) 3 ÷ 4] 45 + [8 ÷ 4] 45 + [2] 47 4[12 ÷ (4)] 2 4[3] 2 36 2[30] 4[9] Start inside the nest of grouping symbols and work outward!

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Example 12

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To evaluate an algebraic expression, replace the variables with the given values. Then, find the value of the numerical expression using the order of operations. Evaluate a 2 – (b 3 – 4c) if a = 7, b = 3, and c = 5. Write the problem. Substitute. Evaluate using order of operations. When substituting a value into an expression, use parentheses. a 2 – (b 3 – 4c) (7) 2 – ((3) 3 – 4(5)) 49 – (27 – 4(5)) 49 – (27 – 20) 49 – (7) 42

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Example 13 x(y 3 + 8) ÷ 12 if x = 3, and y = 4. When substituting a value into an expression, use parentheses. Evaluate the algebraic expression. Example 14 2(x 2 - y) + z 2 if x = 4, y = 3 and z = 2. x(y 3 + 8) ÷ 12 (3)((4) 3 + 8) ÷ 12 (3)(64 + 8) ÷ 12 (3)(72) ÷ 12 216 ÷ 12 18 2(x 2 - y) + z 2 2((4) 2 – (3)) + (2) 2 2(16 – (3)) + 4 2(13) + 4 26 + 4 30

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1-A3 Pages 13–14, # 20–31,36–38,47–53.

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