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