Algebra, NAPX-F4-NC19 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

694

Question

8x>x28 \large x > \large x^2

What is the largest whole number x\large x can be that makes this expression correct?

Worked Solution

Equating the expression
8x\large x = x\large x2^2
x\large x = 8

∴\therefore Largest  x\ \large x = 7

Question Type

Answer Box

Variables

Variable nameVariable value
question
$8 \large x > \large x^2$ What is the largest whole number $\large x$ can be that makes this expression correct?
workedSolution
sm_nogap Equating the expression
>| | | | ------------: | ---------- | | 8$\large x$ | \= $\large x$$^2$ | | $\large x$ | \= 8 |

$\therefore$ Largest $\ \large x$ = {{{correctAnswer0}}}
correctAnswer0
7
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer07

Variant 1

DifficultyLevel

686

Question

3x>x23 \large x > \large x^2

What is the largest whole number x\large x can be that makes this expression correct?

Worked Solution

Equating the expression
3x\large x = x\large x2^2
x\large x = 3

∴\therefore Largest  x\ \large x = 2

Question Type

Answer Box

Variables

Variable nameVariable value
question
$3 \large x > \large x^2$ What is the largest whole number $\large x$ can be that makes this expression correct?
workedSolution
sm_nogap Equating the expression
>| | | | ------------: | ---------- | | 3$\large x$ | \= $\large x$$^2$| | $\large x$ | \= 3 |

$\therefore$ Largest $\ \large x$ = {{{correctAnswer0}}}
correctAnswer0
2
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer02

Variant 2

DifficultyLevel

693

Question

7x>x27 \large x > \large x^2

What is the largest whole number x\large x can be that makes this expression correct?

Worked Solution

Equating the expression
7x\large x = x\large x2^2
x\large x = 7

∴\therefore Largest  x\ \large x = 6

Question Type

Answer Box

Variables

Variable nameVariable value
question
$7 \large x > \large x^2$ What is the largest whole number $\large x$ can be that makes this expression correct?
workedSolution
sm_nogap Equating the expression
>| | | | ------------: | ---------- | | 7$\large x$ | \= $\large x$$^2$| | $\large x$ | \= 7 |

$\therefore$ Largest $\ \large x$ = {{{correctAnswer0}}}
correctAnswer0
6
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer06

Variant 3

DifficultyLevel

697

Question

4x4 \large x > 2x22\large x^2

What is the largest whole number x\large x can be that makes this expression correct?

Worked Solution

Equating the expression
4x\large x = 2x2\large x2^2
2x2\large x = 4
x\large x = 2

∴\therefore Largest  x\ \large x = 1

Question Type

Answer Box

Variables

Variable nameVariable value
question
$4 \large x$ > $2\large x^2$ What is the largest whole number $\large x$ can be that makes this expression correct?
workedSolution
sm_nogap Equating the expression
>| | | | ------------: | ---------- | | 4$\large x$ | \= $2\large x$$^2$| | $2\large x$ | \= 4 | | $\large x$ | \= 2 |

$\therefore$ Largest $\ \large x$ = {{{correctAnswer0}}}
correctAnswer0
1
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer01

Variant 4

DifficultyLevel

698

Question

15x15 \large x > 5x25\large x^2

What is the largest whole number x\large x can be that makes this expression correct?

Worked Solution

Equating the expression
15x\large x = 5x5\large x2^2
5x5\large x = 15
x\large x = 3

∴\therefore Largest  x\ \large x = 2

Question Type

Answer Box

Variables

Variable nameVariable value
question
$15 \large x$ > $5\large x^2$ What is the largest whole number $\large x$ can be that makes this expression correct?
workedSolution
Equating the expression
>| | | | ------------: | ---------- | | 15$\large x$ | \= $5\large x$$^2$| | $5\large x$ | \= 15 | | $\large x$ | \= 3 |

$\therefore$ Largest $\ \large x$ = {{{correctAnswer0}}}
correctAnswer0
2
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer02

Variant 5

DifficultyLevel

704

Question

35x35 \large x > 7x27\large x^2

What is the largest whole number x\large x can be that makes this expression correct?

Worked Solution

Equating the expression
35x\large x = 7x7\large x2^2
7x7\large x = 35
x\large x = 5

∴\therefore Largest  x\ \large x = 4

Question Type

Answer Box

Variables

Variable nameVariable value
question
$35 \large x$ > $7\large x^2$ What is the largest whole number $\large x$ can be that makes this expression correct?
workedSolution
sm_nogap Equating the expression
>| | | | ------------: | ---------- | | 35$\large x$ | \= $7\large x$$^2$| | $7\large x$ | \= 35 | | $\large x$ | \= 5 |

$\therefore$ Largest $\ \large x$ = {{{correctAnswer0}}}
correctAnswer0
4
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer04

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