Transcript 1.7.1 Simplifying Expressions

1-7 Simplifying Expressions
Objectives
Use the Commutative, Associative, and
Distributive Properties to simplify expressions.
Holt Algebra 1
1-7 Simplifying Expressions
Holt Algebra 1
1-7 Simplifying Expressions
Example 1A: Using the Commutative and Associative
Properties
Simplify.
Use the Commutative Property.
Use the Associative Property
to make groups of compatible
numbers.
11(5)
55
Holt Algebra 1
1-7 Simplifying Expressions
Example 1B: Using the Commutative and Associative
Properties
Simplify.
45 + 16 + 55 + 4
45 + 55 + 16 + 4
(45 + 55) + (16 + 4)
(100) + (20)
120
Holt Algebra 1
Use the Commutative Property.
Use the Associative Property
to make groups of compatible
numbers.
1-7 Simplifying Expressions
Check It Out! Example 1a
Simplify.
Use the Commutative Property.
Use the Associative Property
to make groups of compatible
numbers.
21
Holt Algebra 1
1-7 Simplifying Expressions
Check It Out! Example 1b
Simplify.
410 + 58 + 90 + 2
410 + 90 + 58 + 2
Use the Commutative Property.
Use the Associative Property
(410 + 90) + (58 + 2) to make groups of compatible
numbers.
(500) + (60)
560
Holt Algebra 1
1-7 Simplifying Expressions
Check It Out! Example 1c
Simplify.
1 •
7•8
2
1
2
1
(2
•
8
•
•
7
8) 7
4•7
28
Holt Algebra 1
Use the Commutative Property.
Use the Associative Property
to make groups of compatible
numbers.
1-7 Simplifying Expressions
The Distributive Property is used with Addition to
Simplify Expressions.
The Distributive Property also works with
subtraction because subtraction is the same as
adding the opposite.
Holt Algebra 1
1-7 Simplifying Expressions
Example 2A: Using the Distributive Property with
Mental Math
Write the product using the Distributive
Property. Then simplify.
5(59)
5(60 - 1)
5(60) – 5(1)
300 - 5
295
Holt Algebra 1
Rewrite 59 as 60 - 1.
Use the Distributive Property.
Multiply.
Subtract.
1-7 Simplifying Expressions
Example 2B: Using the Distributive Property with
Mental Math
Write the product using the Distributive
Property. Then simplify.
8(33)
8(30 + 3)
8(30) + 8(3)
240 + 24
264
Holt Algebra 1
Rewrite 33 as 30 + 3.
Use the Distributive Property.
Multiply.
Add.
1-7 Simplifying Expressions
Check It Out! Example 2b
Write the product using the Distributive
Property. Then simplify.
12(98)
12(100 – 2)
12(100) – 12(2)
Holt Algebra 1
Rewrite 98 as 100 – 2.
Use the Distributive Property.
1200 – 24
Multiply.
1176
Subtract.
1-7 Simplifying Expressions
Lesson Quiz: Part I
Simplify each expression.
1. 165 +27 + 3 + 5 200
2.
8
Write each product using the Distributive
Property. Then simplify.
3. 5($1.99)
4. 6(13)
Holt Algebra 1
5($2) – 5($0.01) = $9.95
6(10) + 6(3) = 78