Algebra 1 Common Core Answers Student Edition Grade 8 – 9 Chapter 1 Foundations for Algebra Exercise 1.7
Algebra 1 Common Core Answers Student Edition Grade 8 – 9
Chapter 1 Foundations for Algebra Exercise 1.7 1LC

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To tell whether the terms are like terms
3a and -5a
Since the 2 terms nave same variable, the 2 terms are like terms
Conclusion:- The 2 terms are like terms
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To use the distributive property to simplify the expression
0(3.7x – 4.21) = 0 Product of any number and zero is zero
Conclusion:- 0(3.7x – 4.21) = 0
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Chapter 1 Foundations for Algebra Exercise 1.7 74E
To find the gallons of water that will be saved in 8-minute shower
Consider water-saving shower head
For 1 minute 2.5 gallons of water is used
For 8 minutes 8 × 2.5 = 20.0 gallons of water is used
Consider regular shower head
For 1 minute 7 gallons of water is used
For 8 minutes 8 × 7 = 56 gallons of water is used
The amount of water saved is 56 – 20 = 36 gallons
To find the expression(addition or subtraction)we use to represent water saved each minute
The expression we use to represent water saved each minute is subtraction.
To tell how we can use distributive property to find the total amount of water saved.

Chapter 1 Foundations for Algebra Exercise 1.7 75E

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Consider the diagram provided in textbook.
Since, a pairs out of 3 pairs are wrap around the blue bar therefore remaining pairs are wrap around the orange bar.
Hence, the expression which represents the total score is calculated as follows,
= 20a + 10(3 – a)
= 20a + 30 – 10a
= 10a + 30
Therefore from the provided option in textbook, option (A) is correct.
Chapter 1 Foundations for Algebra Exercise 1.7 83E

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To write a word or a phrase tor the algebraic expression
x-10
The phrase is 10 less than a number x
conclusion:- 10 less than a number x
Chapter 1 Foundations for Algebra Exercise 1.7 99E
To write a word or a phrase tor the algebraic expression
5x—18
The phrase is 18 less than the product otfive and x
Conclusion:- The phrase is 18 less than the product Of five and x
Chapter 1 Foundations for Algebra Exercise 1.7 100E
