Algebra, NAPX-H4-CA04 v1

Question

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Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

554

Question

y\large y = 2x2\large x2 − 1.5^2\ −\ 1.5

What is the value of y\large y when x\large x = 3.5

Worked Solution
y\large y = 2x\large x2 − 1.5^2\ −\ 1.5
= 2(3.5)2 − 1.52(3.5)^2\ −\ 1.5
= 23

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large y$ = $2\large x$$^2\ −\ 1.5$ What is the value of $\large y$ when $\large x$ = 3.5
workedSolution
| | | | ------------: | ---------- | | $\large y$| \= 2$\large x$$^2\ −\ 1.5$ | | | \= $2(3.5)^2\ −\ 1.5$ | | | \= {{{correctAnswer}}} |
correctAnswer
23

Answers

Is Correct?Answer
x

12.5

x

21.5

✓

23

x

47.5

Variant 1

DifficultyLevel

552

Question

y\large y =3x=3\large x2 − 2.5^2\ −\ 2.5

What is the value of y\large y when x\large x =3.5=3.5

Worked Solution
y\large y = 3x\large x2 − 2.5^2\ −\ 2.5
= 3(3.5)2 − 2.53(3.5)^2\ −\ 2.5
= 34.25


Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large y$ $=3\large x$$^2\ −\ 2.5$ What is the value of $\large y$ when $\large x$ $=3.5$
workedSolution
| | | | ------------: | ---------- | | $\large y$ | \= 3$\large x$$^2\ −\ 2.5$ | | | \= $3(3.5)^2\ −\ 2.5$ | | | \= {{{correctAnswer}}} |

correctAnswer
34.25

Answers

Is Correct?Answer
x

107.5

✓

34.25

x

18.5

x

8

Variant 2

DifficultyLevel

557

Question

y\large y =5x=5\large x2 − 4.5^2\ −\ 4.5

What is the value of y\large y when x\large x =0.5=0.5

Worked Solution
y\large y = 5x\large x2 − 4.5^2\ −\ 4.5
= 5(0.5)2 − 4.55(0.5)^2\ −\ 4.5
= −- 3.25

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large y$ $=5\large x$$^2\ −\ 4.5$ What is the value of $\large y$ when $\large x$ $=0.5$
workedSolution
| | | | ------------: | ---------- | | $\large y$ | \= 5$\large x$$^2\ −\ 4.5$ | | | \= $5(0.5)^2\ −\ 4.5$ | | | \= {{{correctAnswer}}} |
correctAnswer
$-$ 3.25

Answers

Is Correct?Answer
✓

−- 3.25

x

0.5

x

1.75

x

5

Variant 3

DifficultyLevel

558

Question

y=xy=\large x2 − x^2\ − \ \large x −- 1.5

What is the value of y\large y when x\large x =1.5=1.5

Worked Solution
y\large y = x\large x2 − x^2 \ − \ \large x −- 1.5
= (1.5)2 − 1.5 − 1.5(1.5)^2\ −\ 1.5\ −\ 1.5
= −- 0.75

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$y=\large x$$^2\ − \ \large x$ $-$ 1.5 What is the value of $\large y$ when $\large x$ $=1.5$
workedSolution
| | | | ------------: | ---------- | | $\large y$ | \= $\large x$$^2 \ − \ \large x$ $-$ 1.5 | | | \= $(1.5)^2\ −\ 1.5\ −\ 1.5$ | | | \= {{{correctAnswer}}} |
correctAnswer
$-$ 0.75

Answers

Is Correct?Answer
x

−- 1.5

✓

−- 0.75

x

0

x

5.25

Variant 4

DifficultyLevel

560

Question

y\large y =x=\large x2 − x^2\ − \ \large x −- 4

What is the value of y\large y when x\large x = −- 1

Worked Solution
y\large y = x\large x2 − x^2 \ − \ \large x −- 4
= (−- 1)2  − (−1) − 4^2 \ \ −\ (-1 )\ − \ 4
= −- 2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large y$ $=\large x$$^2\ − \ \large x$ $-$ 4 What is the value of $\large y$ when $\large x$ = $-$ 1
workedSolution
| | | | ------------: | ---------- | | $\large y$ | \= $\large x$$^2 \ − \ \large x$ $-$ 4 | | | \= ($-$ 1)$^2 \ \ −\ (-1 )\ − \ 4$ | | | \= {{{correctAnswer}}} |
correctAnswer
$-$ 2

Answers

Is Correct?Answer
x

−- 7

x

−- 5

x

−- 4

✓

−- 2

Variant 5

DifficultyLevel

563

Question

y\large y =x=\large x2 + 2x^2\ + \ 2\large x + 3

What is the value of y\large y when x\large x = −- 1

Worked Solution
y\large y = x\large x2 + 2x^2 \ + \ 2\large x ++ 3
= (−- 1)2  +2× (−1) + 3^2 \ \ +2\times\ (-1 )\ + \ 3
= 2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\large y$ $=\large x$$^2\ + \ 2\large x$ + 3 What is the value of $\large y$ when $\large x$ = $-$ 1
workedSolution
| | | | ------------: | ---------- | | $\large y$ | \= $\large x$$^2 \ + \ 2\large x$ $+$ 3 | | | \= ($-$ 1)$^2 \ \ +2\times\ (-1 )\ + \ 3$ | | | \= {{{correctAnswer}}} |
correctAnswer
2

Answers

Is Correct?Answer
x

−- 1

x

0

✓

2

x

4

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