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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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