**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**

**Chapter 1 Foundations for Algebra Exercise 1.6 1LC**

**Chapter 1 Foundations for Algebra Exercise 1.6 2CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 2LC**

**Chapter 1 Foundations for Algebra Exercise 1.6 3CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 3LC**

**Chapter 1 Foundations for Algebra Exercise 1.6 4CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 4LC**

**Chapter 1 Foundations for Algebra Exercise 1.6 5CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 5LC**

**Chapter 1 Foundations for Algebra Exercise 1.6 6CB**

**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

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**

**Chapter 1 Foundations for Algebra Exercise 1.6 7LC**

**Chapter 1 Foundations for Algebra Exercise 1.6 8CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 8E**

**Chapter 1 Foundations for Algebra Exercise 1.6 9CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 9E**

**Chapter 1 Foundations for Algebra Exercise 1.6 10CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 10E**

**Chapter 1 Foundations for Algebra Exercise 1.6 11CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 11E**

**Chapter 1 Foundations for Algebra Exercise 1.6 12CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 12E**

**Chapter 1 Foundations for Algebra Exercise 1.6 13CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 13E**

**Chapter 1 Foundations for Algebra Exercise 1.6 14CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 14E**

**Chapter 1 Foundations for Algebra Exercise 1.6 15CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 15E**

**Chapter 1 Foundations for Algebra Exercise 1.6 16CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 16E**

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**Chapter 1 Foundations for Algebra Exercise 1.6 17E**

**Chapter 1 Foundations for Algebra Exercise 1.6 18CB**

**Chapter 1 Foundations for Algebra Exercise 1.6 18E**

**Chapter 1 Foundations for Algebra Exercise 1.6 19E**

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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 24E**

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**Chapter 1 Foundations for Algebra Exercise 1.6 26E**

**Chapter 1 Foundations for Algebra Exercise 1.6 27E**

**Chapter 1 Foundations for Algebra Exercise 1.6 28E**

**Chapter 1 Foundations for Algebra Exercise 1.6 29E**

**Chapter 1 Foundations for Algebra Exercise 1.6 30E**

**Chapter 1 Foundations for Algebra Exercise 1.6 31E**

**Chapter 1 Foundations for Algebra Exercise 1.6 32E**

**Chapter 1 Foundations for Algebra Exercise 1.6 33E**

**Chapter 1 Foundations for Algebra Exercise 1.6 34E**

**Chapter 1 Foundations for Algebra Exercise 1.6 35E**

**Chapter 1 Foundations for Algebra Exercise 1.6 36E**

**Chapter 1 Foundations for Algebra Exercise 1.6 37E**

**Chapter 1 Foundations for Algebra Exercise 1.6 38E**

**Chapter 1 Foundations for Algebra Exercise 1.6 39E**

**Chapter 1 Foundations for Algebra Exercise 1.6 40E**

**Chapter 1 Foundations for Algebra Exercise 1.6 41E**

**Chapter 1 Foundations for Algebra Exercise 1.6 42E**

**Chapter 1 Foundations for Algebra Exercise 1.6 43E**

**Chapter 1 Foundations for Algebra Exercise 1.6 44E**

**Chapter 1 Foundations for Algebra Exercise 1.6 45E**

**Chapter 1 Foundations for Algebra Exercise 1.6 46E**

**Chapter 1 Foundations for Algebra Exercise 1.6 47E**

**Chapter 1 Foundations for Algebra Exercise 1.6 48E**

**Chapter 1 Foundations for Algebra Exercise 1.6 49E**

**Chapter 1 Foundations for Algebra Exercise 1.6 50E**

**Chapter 1 Foundations for Algebra Exercise 1.6 51E**

**Chapter 1 Foundations for Algebra Exercise 1.6 52E**

**Chapter 1 Foundations for Algebra Exercise 1.6 53E**

**Chapter 1 Foundations for Algebra Exercise 1.6 54E**

**Chapter 1 Foundations for Algebra Exercise 1.6 55E**

**Chapter 1 Foundations for Algebra Exercise 1.6 56E**

**Chapter 1 Foundations for Algebra Exercise 1.6 57E**

**Chapter 1 Foundations for Algebra Exercise 1.6 58E**

**Chapter 1 Foundations for Algebra Exercise 1.6 59E**

**Chapter 1 Foundations for Algebra Exercise 1.6 60E**

**Chapter 1 Foundations for Algebra Exercise 1.6 61E**

**Chapter 1 Foundations for Algebra Exercise 1.6 62E**

**Chapter 1 Foundations for Algebra Exercise 1.6 63E**

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**Chapter 1 Foundations for Algebra Exercise 1.6 65E**

**Chapter 1 Foundations for Algebra Exercise 1.6 66E**

**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**

**Chapter 1 Foundations for Algebra Exercise 1.6 71E**

**Chapter 1 Foundations for Algebra Exercise 1.6 72E**

**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