holt algebra 1 1-6 order of operations use the order of operations to simplify expressions....

Holt Algebra 1

1-6 Order of Operations

Use the order of operations to simplify expressions.

Objective

Holt Algebra 1

1-6 Order of Operations

order of operations tells which operation to perform first.

Helpful Hint The first letter of these words can help you remember the order of operations.

PleaseExcuseMy DearAuntSally

ParenthesesExponentsMultiplyDivideAddSubtract

Holt Algebra 1

1-6 Order of Operations

Simplify each expression.

A. 15 – 2 · 3 + 1

B. 12 – 32 + 10 ÷ 2

Example 1: Translating from Algebra to Words

Holt Algebra 1

1-6 Order of Operations

8 ÷ · 3

Check It Out! Example 1a

Simplify the expression.1 2

Holt Algebra 1

1-6 Order of Operations

5.4 – 32 + 6.2

Check It Out! Example 1b

Simplify the expression.

Holt Algebra 1

1-6 Order of Operations

–20 ÷ [–2(4 + 1)]

Check It Out! Example 1c

Simplify the expression.

Holt Algebra 1

1-6 Order of Operations

Example 2A: Evaluating Algebraic Expressions

Evaluate the expression for the given value of x.

10 – x · 6 for x = 3

Holt Algebra 1

1-6 Order of Operations

Evaluate the expression for the given value of x.

42(x + 3) for x = –2

Example 2B: Evaluating Algebraic Expressions

Holt Algebra 1

1-6 Order of Operations

Evaluate the expression for the given value of x.

14 + x2 ÷ 4 for x = 2

Check It Out! Example 2a

Holt Algebra 1

1-6 Order of Operations

(x · 22) ÷ (2 + 6) for x = 6

Check It Out! Example 2b

Evaluate the expression for the given value of x.

Holt Algebra 1

1-6 Order of Operations

HW p43 (24-41, 55, 56)2 ? Lesson Check Last 5 minutes

Holt Algebra 1

1-6 Order of Operations

Lesson Check Day 1

Simply each expression.

1. 2[5 ÷ (–6 – 4)]

2. 5 8 – 4 + 16 ÷ 22

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.

Holt Algebra 1

1-6 Order of Operations

Simplify.2(–4) + 22 42 – 9

Example 3A: Simplifying Expressions with Other Grouping Symbols

Holt Algebra 1

1-6 Order of Operations

Example 3B: Simplifying Expressions with Other Grouping Symbols

Simplify.

3|42 + 8 ÷ 2|

Holt Algebra 1

1-6 Order of Operations

Check It Out! Example 3a

Simplify.5 + 2(–8) (–2) – 3 3

Holt Algebra 1

1-6 Order of Operations

Check It Out! Example 3b

Simplify.

|4 – 7|2 ÷ –3

Holt Algebra 1

1-6 Order of Operations

Check It Out! Example 3c

Simplify.

Holt Algebra 1

1-6 Order of Operations

Example 4: Translating from Words to Math

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

Holt Algebra 1

1-6 Order of Operations

Check It Out! Example 4

Translate the word phrase into a numerical or algebraic expression: the product of 6.2 and the sum of 9.4 and 8.

Holt Algebra 1

1-6 Order of Operations

Example 5: Retail Application

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.

Holt Algebra 1

1-6 Order of Operations

Check It Out! Example 5

Another formula for a player's total number of bases is Hits + D + 2T + 3H. Use this expression to find Hank Aaron's total bases for 1959, when he had 223 hits, 46 doubles, 7 triples, and 39 home runs.

Holt Algebra 1

1-6 Order of Operations

HW p43 (42-54, 60, 66, 68-70)2 ? Lesson Check Last 5 minutes

Holt Algebra 1

1-6 Order of Operations

Lesson Check Day 2

Simply each expression.

1. 52 – (5 + 4)

|4 – 8|

Translate each word phrase into a numerical or algebraic expression.

2. 3 three times the sum of –5 and n