1. Holt Algebra 1 1-6 Order of Operations 1-6 Order of Operations Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation

2. Holt Algebra 1 1-6 Order of Operations Warm Up Simplify. 1. 4 2 2. |5 – 16| 3. –2 3 4. |3 – 7| 16 –8 4 Translate each word phrase into a numerical or algebraic expression. 5. the product of 8 and 6 6. the difference of 10y and 4 8  6 10y – 4 11 Simplify each fraction. 7.8. 16 2 8 56 8 1717

3. Holt Algebra 1 1-6 Order of Operations Use the order of operations to simplify expressions. Objective

4. Holt Algebra 1 1-6 Order of Operations First: Second: Third: Fourth: Perform operations inside grouping symbols. Evaluate powers. Perform multiplication and division from left to right. Perform addition and subtraction from left to right. Order of Operations

5. Holt Algebra 1 1-6 Order of Operations Grouping symbols include parentheses ( ), brackets [ ], and braces { }. If an expression contains more than one set of grouping symbols, evaluate the expression from the innermost set first.

6. Holt Algebra 1 1-6 Order of Operations Helpful Hint The first letter of these words can help you remember the order of operations. Please Excuse My Dear Aunt Sally Parentheses Exponents Multiply Divide Add Subtract

7. Holt Algebra 1 1-6 Order of Operations Simplify each expression. A. 15 – 2 · 3 + 1 B. 12 – 3 2 + 10 ÷ 2 8 ÷ · 3 1212 5.4 – 3 2 + 6.2 C. D. –20 ÷ [–2(4 + 1)] E.

8. Holt Algebra 1 1-6 Order of Operations Evaluate the expression for the given value of x. 10 – x · 6 for x = 3 4 2 (x + 3) for x = –2 14 + x 2 ÷ 4 for x = 2 (x · 2 2 ) ÷ (2 + 6) for x = 6

9. Holt Algebra 1 1-6 Order of Operations Fraction bars, radical symbols, and absolute-value symbols can also be used as grouping symbols. Remember that a fraction bar indicates division.

10. Holt Algebra 1 1-6 Order of Operations Simplify. 2(–4) + 22 4 2 – 9 3|4 2 + 8 ÷ 2| 5 + 2(–8) (–2) – 3 3 |4 – 7| 2 ÷ –3

11. Holt Algebra 1 1-6 Order of Operations Translate each word phrase into a numerical or algebraic expression. A. the sum of the quotient of 12 and –3 and the square root of 25 B. the difference of y and the product of 4 and

12. Holt Algebra 1 1-6 Order of Operations Translate the word phrase into a numerical or algebraic expression: the product of 6.2 and the sum of 9.4 and 8.

13. Holt Algebra 1 1-6 Order of Operations A shop offers gift-wrapping services at three price levels. The amount of money collected for wrapping gifts on a given day can be found by using the expression 2B + 4S + 7D. On Friday the shop wrapped 10 Basic packages B, 6 Super packages S, and 5 Deluxe packages D. Use the expression to find the amount of money collected for gift wrapping on Friday. The shop collected $79 for gift wrapping on Friday.

14. Holt Algebra 1 1-6 Order of Operations HW Pages 43-45/24-56,58,60,61,65-73,78-88