1 7 Simplifying Expressions Objectives Use the Commutative

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 1 A: 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 1 B: 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 1 a 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 1 b 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 1 c Simplify. 1 • 7 • 8 2 1 2 (12 • 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 2 A: 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 2 B: 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 2 b 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
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