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Lesson 65: Algebra I #2.8a, Inverse of a Sum and Property of -1

Algebra 1
Lesson 65: Algebra I #2.8a, Inverse of a Sum and Property of -1
Algebra I #2.8a, Inverse of a Sum and Property of -1
Lesson 65: Algebra I #2.8a, Inverse of a Sum and Property of -1

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Question 1 of 10

1. Question

According to the property of negative one, what is the product when a rational number is multiplied by -1?

The additive inverse (opposite) of the number
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The reciprocal of the number
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The absolute value of the number
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The original number unchanged
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Question 2 of 10

2. Question

What is the result when zero is multiplied by -1 according to the lesson?

0
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Undefined
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-0
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1
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Question 3 of 10

3. Question

Which equation formally represents the Property of Negative One for any rational number ‘a’?

-1 / a = -a
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-1 * a = -a
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-1 + a = 0
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a^ -1 = -a
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Question 4 of 10

4. Question

How is the ‘inverse of a sum’ property formally defined for rational numbers A and B?

-(a + b) = -a + (-b)
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-(a + b) = a – b
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-(a + b) = -a * -b
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-(a + b) = a + b
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Question 5 of 10

5. Question

What simplified expression is equivalent to -(2 + x)?

2 – x
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-2 – x
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2 + x
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-2 + x
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Question 6 of 10

6. Question

What conceptual tool explains why a negative sign directly in front of parentheses affects every term inside?

The commutative property of addition
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The zero product property
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The division algorithm
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The presence of an 'invisible 1' being distributed
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Question 7 of 10

7. Question

What is the fully simplified form of -(2x + 3y + 4)?

-2x – 3y + 4
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-2x + 3y + 4
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-2x – 3y – 4
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2x – 3y – 4
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Question 8 of 10

8. Question

When applying the inverse of a sum property to an algebraic expression inside parentheses, what happens to the signs of each term?

All positive terms become negative, but negative terms stay negative
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The sign of every term inside the parentheses is changed (flipped)
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Only the first term changes sign
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All terms become positive
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Question 9 of 10

9. Question

Simplify the expression: -(3a – 5b – 7)

3a + 5b + 7
Correct Incorrect Correct answer

-3a + 5b + 7
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-3a – 5b + 7
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-3a – 5b – 7
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Question 10 of 10

10. Question

Simplify the expression: -(-2x + 3y – 10)

2x – 3y + 10
Correct Incorrect Correct answer

-2x – 3y + 10
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-2x + 3y – 10
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2x + 3y – 10
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