Algebra, NAPX-F4-NC18

Question

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Worked Solution

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Variant 0

DifficultyLevel

638

Question

What expression is equivalent to −(8 − p)−(8\ −\ \large p)?

Worked Solution
−(8 − p)−(8\ −\ \large p) = − 8+p−\ 8 + \large p
= p −\large p\ - 8

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What expression is equivalent to $−(8\ −\ \large p)$?
workedSolution
>| | | | -------------: | ---------- | | $−(8\ −\ \large p)$| \= $−\ 8 + \large p$ | | | \= $\large p\ -$ 8 |
correctAnswer
$\large p$ $−$ 8

Answers

Is Correct?Answer
✓

p\large p −− 8

x

−− p\large p −- 8

x

p\large p + 8

x

−− p\large p + 8

Variant 1

DifficultyLevel

631

Question

Which of the following is always equal to  − p\ −\ \large p + q\large q?

Worked Solution

 − p\ −\ \large p + q\large q = q\large q −− p\large p

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the following is always equal to $\ −\ \large p$ + $\large q$?
workedSolution
$\ −\ \large p$ + $\large q$ = $\large q$ $−$ $\large p$
correctAnswer
$\large q$ $-\ \large p$

Answers

Is Correct?Answer
x

q\large q −− (− p−\ \large p)

x

− q−\ \large q + p\large p

x

− q−\ \large q − p−\ \large p

✓

q\large q − p-\ \large p

Variant 2

DifficultyLevel

636

Question

Which of the following is always equal to  − p\ −\ \large p − q\large q?

Worked Solution

 − p\ −\ \large p − q\large q = −− (q\large q + p\large p)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the following is always equal to $\ −\ \large p$ − $\large q$?
workedSolution
$\ −\ \large p$ − $\large q$ = $−$ ($\large q$ + $\large p$)
correctAnswer
$−$ ($\large q$ + $\large p$)

Answers

Is Correct?Answer
x

q\large q −− (− p−\ \large p)

x

− q−\ \large q + p\large p

✓

−− (q\large q + p\large p)

x

−− (q\large q − p\large p)

Variant 3

DifficultyLevel

635

Question

Which of the following is always equal to  − 2m\ −\ 2\large m + n\large n?

Worked Solution

 − 2m\ −\ 2\large m + n\large n = − 2m−\ 2\large m −− (− n−\ \large n)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the following is always equal to $\ −\ 2\large m$ + $\large n$?
workedSolution
$\ −\ 2\large m$ + $\large n$ = $−\ 2\large m$ $−$ ($−\ \large n$)
correctAnswer
$−\ 2\large m$ $−$ ($−\ \large n$)

Answers

Is Correct?Answer
x

− 2(m−\ 2\large (m −−  n\ \large n)

✓

− 2m−\ 2\large m −− (− n−\ \large n)

x

− 2(m−\ 2\large (m +  n\ \large n)

x

 − n\ −\ \large n + 2m2\large m

Variant 4

DifficultyLevel

637

Question

What expression is equivalent to −(x −−(\large x\ − 2y)\large y)?

Worked Solution
−(x −−(\large x\ − 2y)\large y) = − x +−\ \large x\ + 2y\large y
= 2y − x2\large y\ -\ x

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What expression is equivalent to $−(\large x\ −$ 2$\large y)$?
workedSolution
>| | | | -------------: | ---------- | | $−(\large x\ −$ 2$\large y)$| \= $−\ \large x\ +$ 2$\large y$ | | | \= $2\large y\ -\ x$ |
correctAnswer
$2\large y\ -\ x$

Answers

Is Correct?Answer
✓

2y − x2\large y\ -\ x

x

2y + x2\large y\ +\ x

x

−2y − x−2\large y\ -\ x

x

−2y + x−2\large y\ + \ \large x

Variant 5

DifficultyLevel

636

Question

Which of the following is always equal to −(5v−(5\large v + 7t)7 \large t)?

Worked Solution

−(5v−(5\large v + 7t)7 \large t) = −5v−5\large v −- 7t7 \large t

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the following is always equal to $−(5\large v$ + $7 \large t)$?
workedSolution
$−(5\large v$ + $7 \large t)$ = $−5\large v$ $-$ $7 \large t$
correctAnswer
$−5\large v$ $-$ $7 \large t$

Answers

Is Correct?Answer
x

−5v−5\large v ++ 7t7 \large t

✓

−5v−5\large v −- 7t7 \large t

x

5v5\large v ++ 7t7 \large t

x

5v5\large v −- 7t7 \large t

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