Algebra 1 Common Core Answers Chapter 1 Foundations for Algebra Exercise 1.6

Algebra 1 Common Core Answers Student Edition Grade 8 – 9 Chapter 1 Foundations for Algebra Exercise 1.6

Algebra 1 Common Core Answers Student Edition Grade 8 – 9

Chapter 1 Foundations for Algebra Exercise 1.6 1CB
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Chapter 1 Foundations for Algebra Exercise 1.6 1LC
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Chapter 1 Foundations for Algebra Exercise 1.6 2CB
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Chapter 1 Foundations for Algebra Exercise 1.6 2LC
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Chapter 1 Foundations for Algebra Exercise 1.6 3CB
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Chapter 1 Foundations for Algebra Exercise 1.6 3LC
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Chapter 1 Foundations for Algebra Exercise 1.6 4CB
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Chapter 1 Foundations for Algebra Exercise 1.6 4LC
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Chapter 1 Foundations for Algebra Exercise 1.6 5CB
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Chapter 1 Foundations for Algebra Exercise 1.6 5LC
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Chapter 1 Foundations for Algebra Exercise 1.6 6CB
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Chapter 1 Foundations for Algebra Exercise 1.6 6LC
To use a number line to explain why -15 ÷ 3 = -5
A number line to explain why -15 ÷ 3 = -5
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From the above number line we get to know that -15 divided into 3 parts gives -5.

Chapter 1 Foundations for Algebra Exercise 1.6 7CB
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Chapter 1 Foundations for Algebra Exercise 1.6 7LC
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Chapter 1 Foundations for Algebra Exercise 1.6 8CB
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Chapter 1 Foundations for Algebra Exercise 1.6 8E
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Chapter 1 Foundations for Algebra Exercise 1.6 9CB
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Chapter 1 Foundations for Algebra Exercise 1.6 9E
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Chapter 1 Foundations for Algebra Exercise 1.6 10CB
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Chapter 1 Foundations for Algebra Exercise 1.6 10E
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Chapter 1 Foundations for Algebra Exercise 1.6 11CB
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Chapter 1 Foundations for Algebra Exercise 1.6 11E
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Chapter 1 Foundations for Algebra Exercise 1.6 12CB
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Chapter 1 Foundations for Algebra Exercise 1.6 12E
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Chapter 1 Foundations for Algebra Exercise 1.6 13CB
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Chapter 1 Foundations for Algebra Exercise 1.6 13E
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Chapter 1 Foundations for Algebra Exercise 1.6 14CB
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Chapter 1 Foundations for Algebra Exercise 1.6 14E
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Chapter 1 Foundations for Algebra Exercise 1.6 15CB
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Chapter 1 Foundations for Algebra Exercise 1.6 15E
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Chapter 1 Foundations for Algebra Exercise 1.6 16CB
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Chapter 1 Foundations for Algebra Exercise 1.6 16E
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Chapter 1 Foundations for Algebra Exercise 1.6 17CB
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Chapter 1 Foundations for Algebra Exercise 1.6 17E
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Chapter 1 Foundations for Algebra Exercise 1.6 18CB
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Chapter 1 Foundations for Algebra Exercise 1.6 18E
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Chapter 1 Foundations for Algebra Exercise 1.6 19E
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Chapter 1 Foundations for Algebra Exercise 1.6 20E
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Chapter 1 Foundations for Algebra Exercise 1.6 21E
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Chapter 1 Foundations for Algebra Exercise 1.6 22E
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Chapter 1 Foundations for Algebra Exercise 1.6 23E
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Chapter 1 Foundations for Algebra Exercise 1.6 24E
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Chapter 1 Foundations for Algebra Exercise 1.6 25E
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Chapter 1 Foundations for Algebra Exercise 1.6 26E
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Chapter 1 Foundations for Algebra Exercise 1.6 27E
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Chapter 1 Foundations for Algebra Exercise 1.6 28E
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Chapter 1 Foundations for Algebra Exercise 1.6 29E
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Chapter 1 Foundations for Algebra Exercise 1.6 30E
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Chapter 1 Foundations for Algebra Exercise 1.6 31E
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Chapter 1 Foundations for Algebra Exercise 1.6 32E
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Chapter 1 Foundations for Algebra Exercise 1.6 33E
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Chapter 1 Foundations for Algebra Exercise 1.6 34E
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Chapter 1 Foundations for Algebra Exercise 1.6 35E
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Chapter 1 Foundations for Algebra Exercise 1.6 36E
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Chapter 1 Foundations for Algebra Exercise 1.6 37E
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Chapter 1 Foundations for Algebra Exercise 1.6 38E
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Chapter 1 Foundations for Algebra Exercise 1.6 39E
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Chapter 1 Foundations for Algebra Exercise 1.6 40E
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Chapter 1 Foundations for Algebra Exercise 1.6 41E
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Chapter 1 Foundations for Algebra Exercise 1.6 42E
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Chapter 1 Foundations for Algebra Exercise 1.6 43E
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Chapter 1 Foundations for Algebra Exercise 1.6 44E
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Chapter 1 Foundations for Algebra Exercise 1.6 45E
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Chapter 1 Foundations for Algebra Exercise 1.6 46E
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Chapter 1 Foundations for Algebra Exercise 1.6 47E
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Chapter 1 Foundations for Algebra Exercise 1.6 48E
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Chapter 1 Foundations for Algebra Exercise 1.6 49E
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Chapter 1 Foundations for Algebra Exercise 1.6 50E
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Chapter 1 Foundations for Algebra Exercise 1.6 51E
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Chapter 1 Foundations for Algebra Exercise 1.6 52E
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Chapter 1 Foundations for Algebra Exercise 1.6 53E
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Chapter 1 Foundations for Algebra Exercise 1.6 54E
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Chapter 1 Foundations for Algebra Exercise 1.6 55E
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Chapter 1 Foundations for Algebra Exercise 1.6 56E
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Chapter 1 Foundations for Algebra Exercise 1.6 57E
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Chapter 1 Foundations for Algebra Exercise 1.6 58E
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Chapter 1 Foundations for Algebra Exercise 1.6 59E
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Chapter 1 Foundations for Algebra Exercise 1.6 60E
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Chapter 1 Foundations for Algebra Exercise 1.6 61E
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Chapter 1 Foundations for Algebra Exercise 1.6 62E
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Chapter 1 Foundations for Algebra Exercise 1.6 63E
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Chapter 1 Foundations for Algebra Exercise 1.6 64E
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Chapter 1 Foundations for Algebra Exercise 1.6 65E
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Chapter 1 Foundations for Algebra Exercise 1.6 66E
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Chapter 1 Foundations for Algebra Exercise 1.6 67E
To determine whether each statement is always, sometimes or never true
Statement:-The quotient of a nonzero number and its opposite is -1
This is always true
Consider an example-3. Its opposite is 3.Quotient when the 2 are divided is -1
Conclusion:-
The given statement is always true.

Chapter 1 Foundations for Algebra Exercise 1.6 68E
To determine whether each statement is always, sometimes or never true
Statement:-If the product of 2 fractions is negative, then their quotient is positive.
This is never true because the product of 2 fractions is negative, then their quotient is negative( both multiplication and division rules are same)
Conclusion:-
The given statement is never true.

Chapter 1 Foundations for Algebra Exercise 1.6 69E
To find the greatest integer n for which (-n)3 is positive and the value of the expression has a 2 in the ones place
The greatest integer for n for which (-n)3 is positive and the value of the expression has a 2 in the ones place is -8.
The value of the expression has a 2 in the ones place if it is the cube of 8 or numbers ending with 8. (-n)3 is positive only if n is negative.Such greatest integer which has 8 in ones place and n is negative is -8.

Chapter 1 Foundations for Algebra Exercise 1.6 70E
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Chapter 1 Foundations for Algebra Exercise 1.6 71E
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Chapter 1 Foundations for Algebra Exercise 1.6 72E
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Chapter 1 Foundations for Algebra Exercise 1.6 73E
To find the difference
46-16
To find difference of 2 numbers, we subtract the 2 numbers and keep the greater number sign
46 -16 =30
Conclusion:- 46 -16 =30

Chapter 1 Foundations for Algebra Exercise 1.6 74E
To find the difference
34 – 44
To find difference of 2 numbers, we subtract the 2 numbers and keep the greater number sign
34 – 44 = -10
Conclusion:- 34 – 44 = -10

Chapter 1 Foundations for Algebra Exercise 1.6 75E
To find the difference
-37 – (-27)
Product of 2 negative sign is positive
-37 – (-27) = -37 + 27
To find difference of 2 numbers, we subtract the 2 numbers and keep the greater number sign
= -10
Conclusion:- -37 – (-27) = -10

Chapter 1 Foundations for Algebra Exercise 1.6 76E
To name the property that the statement illustrates
– x + 0 = – x
Zero is the additive identity
The property that the statement illustrates is additive identity
Conclusion:- The property that the statement illustrates is additive identity.

Chapter 1 Foundations for Algebra Exercise 1.6 77E
To name the property that the statement illustrates
13(-11) = -11(13)
The property that the statement illustrates is commutative property of multiplication
Its general form is a . b = b . a
Conclusion:-
The property that the statement illustrates is commutative property of multiplication

Chapter 1 Foundations for Algebra Exercise 1.6 78E
To name the property that the statement illustrates
-5 . (m . 8) = (-5 . m) . 8
The property that the statement illustrates is associative property of multiplication
Its general form is a .(b . c) = (a . b) . c
Conclusion:-
The property that the statement illustrates is associative property of multiplication