Page 46 - Algebra 1

L E7S S O N Simplifying and Comparing Expressions with Symbols of Inclusion
Warm Up
NewConcepts
1. Vocabulary A is used to represent an unknown number. (2)
Simplify.
2. -1.5 + 32 - (3 - 5)
(4)
3. 12 - 4 · 0.5 + (3.4 - 1.7) (4)
_22 _12 _5
4.( )-( )+ (4) 3 3 6
Amathematicalexpressioncanincludenumbers,variables,operations,and symbols of inclusion. Symbols of inclusion, such as fraction bars, absolute-value symbols, parentheses, braces, and brackets indicate which numbers, variables, and operations are parts of the same term. An example is shown below.
_
( 2 x + 3 _1 ) - 2 y
The expression inside the parentheses is considered a single term. To simplify an expression with multiple symbols of inclusion, begin inside the innermost symbol of inclusion and work outward.
Expressions with Absolute-Value Symbols and Parentheses
Simplify each expression.
a. 9- 4-6 SOLUTION
9 - 4 - 6
=9- -2 Subtract inside absolute-value symbols. =9-2 Simplify the absolute value.
=7 Subtract.
b. 5·2+[3+(6-8)]
SOLUTION Begin simplifying inside the innermost symbol of inclusion.
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Example
1
Math Language
( )
[ ]
{ }
_a b
|x|
parentheses brackets braces fraction bar
absolute-value symbols
Online Connection www.SaxonMathResources.com
5 · 2 + [3 + (6 - 8)] = 5 · 2 + [3 + (-2)] = 5 · 2 + 1
= 10 + 1
= 11
Subtract inside parentheses. Add inside brackets. Multiply.
Add.
Lesson 7 31