Unit Test Answers

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5

What is the product of 44(4–7)(4)?

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6

Simplify (23)–2.

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C
2
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D
64
Option D
7

Simplify

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A
–100,000
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B
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C
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D
100,000
Option D
10

[image 1] [image 2] [image 3] [image 4]

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12

Which of the following did you include in your response?

A
Javier did not raise the coefficients to the third power
B
When Javier raised [image 1] to the third power, he wrote that [image 2] , but it equals [image 3] .
Option B
C
In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.
15

Simplify . Assume .

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mc001-3.jpg
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mc001-4.jpg
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mc001-5.jpg
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mc001-6.jpg
Option D
16

Javier simplified the expression below. Find and describe the three mistakes he made.

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Answer:

Javier made three primary mistakes in his simplification: 1. In the third step, he did not raise the coefficients (5 and 20) to the third power as required by the power of a product rule. 2. In the denominator, he incorrectly raised x to the third power and got x^4 (likely by adding the exponents 1 and 3) instead of x^3. 3. In the final step, he divided the exponents (24 / 4 6) instead of using the quotient of powers property, which requires subtracting the exponents (24 4 20).

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