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Properties and Equivalent Expres Study the example showing how to use properties of operations to write equivalent expressions with variables. Then solve problems 1-9. Example Four students are buying tickets to a play. The tickets cost $5 each plus a service fee. The expression 4(5 + x) represents the total cost. Write an expression that is equivalent to 4(5 + x). You can use math tiles to model 4(5 + x). 1 1 1 From the math tiles, you can see that the expression 4(5 + x) = (5+5+5+5) + (x+x+x+x). 1 1 1 1 1 Explain how the model shows 4(5 + x). 20+4x Curriculum Associates, LLC Copying is not permitted. 1 anded steld 1 1 1 1 1 1 2 Simplify the expression in the example. 4x+5 3 What are the factors in the expression 4(5 + x)?. 4 Show how to use the distributive property to simplify 4(5 + x). 465+x)=20+ 4X 1 1 4x+20 5 Are the expressions (5 + 5 + 5 + 5) + (x+x+x+x) and 4(5 + x) equivalent? If so, write another expression that is equivalent to both of them. If not, explain why not. Both equal to 20 1 ORANGE DOED Thi Lesson 17 Equivalent Expressions 187

Properties and Equivalent Expres Study the example showing how to use properties of operations to write equivalent expressions with variables. Then solve problems 1-9. Example Four students are buying tickets to a play. The tickets cost $5 each plus a service fee. The expression 4(5 + x) represents the total cost. Write an expression that is equivalent to 4(5 + x). You can use math tiles to model 4(5 + x). 1 1 1 From the math tiles, you can see that the expression 4(5 + x) = (5+5+5+5) + (x+x+x+x). 1 1 1 1 1 Explain how the model shows 4(5 + x). 20+4x Curriculum Associates, LLC Copying is not permitted. 1 anded steld 1 1 1 1 1 1 2 Simplify the expression in the example. 4x+5 3 What are the factors in the expression 4(5 + x)?. 4 Show how to use the distributive property to simplify 4(5 + x). 465+x)=20+ 4X 1 1 4x+20 5 Are the expressions (5 + 5 + 5 + 5) + (x+x+x+x) and 4(5 + x) equivalent? If so, write another expression that is equivalent to both of them. If not, explain why not. Both equal to 20 1 ORANGE DOED Thi Lesson 17 Equivalent Expressions 187

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Properties and Equivalent Expres Study the example showing how to use properties of operations to write equivalent expressions with variables. Then solve problems 1-9. Example Four students are buying tickets to a play. The tickets cost $5 each plus a service fee. The expression 4(5 + x) represents the total cost. Write an expression that is equivalent to 4(5 + x). You can use math tiles to model 4(5 + x). 1 1 1 From the math tiles, you can see that the expression 4(5 + x) = (5+5+5+5) + (x+x+x+x). 1 1 1 1 1 Explain how the model shows 4(5 + x). 20+4x Curriculum Associates, LLC Copying is not permitted. 1 anded steld 1 1 1 1 1 1 2 Simplify the expression in the example. 4x+5 3 What are the factors in the expression 4(5 + x)?. 4 Show how to use the distributive property to simplify 4(5 + x). 465+x)=20+ 4X 1 1 4x+20 5 Are the expressions (5 + 5 + 5 + 5) + (x+x+x+x) and 4(5 + x) equivalent? If so, write another expression that is equivalent to both of them. If not, explain why not. Both equal to 20 1 ORANGE DOED Thi Lesson 17 Equivalent Expressions 187
Transcribed Image Text:Properties and Equivalent Expres Study the example showing how to use properties of operations to write equivalent expressions with variables. Then solve problems 1-9. Example Four students are buying tickets to a play. The tickets cost $5 each plus a service fee. The expression 4(5 + x) represents the total cost. Write an expression that is equivalent to 4(5 + x). You can use math tiles to model 4(5 + x). 1 1 1 From the math tiles, you can see that the expression 4(5 + x) = (5+5+5+5) + (x+x+x+x). 1 1 1 1 1 Explain how the model shows 4(5 + x). 20+4x Curriculum Associates, LLC Copying is not permitted. 1 anded steld 1 1 1 1 1 1 2 Simplify the expression in the example. 4x+5 3 What are the factors in the expression 4(5 + x)?. 4 Show how to use the distributive property to simplify 4(5 + x). 465+x)=20+ 4X 1 1 4x+20 5 Are the expressions (5 + 5 + 5 + 5) + (x+x+x+x) and 4(5 + x) equivalent? If so, write another expression that is equivalent to both of them. If not, explain why not. Both equal to 20 1 ORANGE DOED Thi Lesson 17 Equivalent Expressions 187
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