Algebra, NAPX-I4-CA31 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

721

Question

What is the value of x\large x given  72x\ \dfrac{7}{2}\large x + 7 = 4x\large x −− 5?

Worked Solution
72x\dfrac{7}{2}\large x + 7 = 4x4\large x −- 5
7x7\large x + 14 = 8x8\large x −- 10
∴x\therefore \large x = 24

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the value of $\large x$ given $\ \dfrac{7}{2}\large x$ + 7 = 4$\large x$ $−$ 5?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{7}{2}\large x$ + 7 | \= $4\large x$ $-$ 5 | | $7\large x$ + 14 | \= $8\large x$ $-$ 10 | | $\therefore \large x$| \= {{{correctAnswer0}}} |
correctAnswer0
24
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
correctAnswer024

Variant 1

DifficultyLevel

723

Question

What is the value of x\large x given  43x\ \dfrac{4}{3}\large x + 7 = 4x\large x −− 17?

Worked Solution
43x\dfrac{4}{3}\large x + 7 = 4x4\large x −- 17
4x4\large x + 21 = 12x12\large x −- 51
8x8\large x = 72
∴x\therefore \large x = 9

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the value of $\large x$ given $\ \dfrac{4}{3}\large x$ + 7 = 4$\large x$ $−$ 17?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{4}{3}\large x$ + 7 | \= $4\large x$ $-$ 17 | | $4\large x$ + 21 | \= $12\large x$ $-$ 51 | | $8\large x$ | \= 72 | | $\therefore \large x$| \= {{{correctAnswer0}}} |
correctAnswer0
9
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
correctAnswer09

Variant 2

DifficultyLevel

721

Question

What is the value of x\large x given  52x\ \dfrac{5}{2}\large x −- 7 = x\large x −− 4?

Worked Solution
52x\dfrac{5}{2}\large x −- 7 = x\large x −- 4
5x5\large x −- 14 = 2x2\large x −- 8
3x3\large x = 6
∴x\therefore \large x = 2

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the value of $\large x$ given $\ \dfrac{5}{2}\large x$ $-$ 7 = $\large x$ $−$ 4?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{5}{2}\large x$ $-$ 7 | \= $\large x$ $-$ 4 | | $5\large x$ $-$ 14 | \= $2\large x$ $-$ 8 | | $3\large x$ | \= 6 | | $\therefore \large x$| \= {{{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 3

DifficultyLevel

725

Question

What is the value of x\large x given  53x\ \dfrac{5}{3}\large x + 3 = 2x\large x + 4?

Worked Solution
53x\dfrac{5}{3}\large x + 3 = 2x2\large x + 4
5x5\large x + 9 = 6x6\large x + 12
∴x\therefore \large x = −3

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the value of $\large x$ given $\ \dfrac{5}{3}\large x$ + 3 = 2$\large x$ + 4?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{5}{3}\large x$ + 3 | \= $2\large x$ + 4 | | $5\large x$ + 9 | \= $6\large x$ + 12 | | $\therefore \large x$| \= {{{correctAnswer0}}} |
correctAnswer0
−3
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
correctAnswer0−3

Variant 4

DifficultyLevel

723

Question

What is the value of x\large x given  56x\ \dfrac{5}{6}\large x + 3 = 3x\large x −− 10?

Worked Solution
56x\dfrac{5}{6}\large x + 3 = 3x3\large x −- 10
5x5\large x + 18 = 18x18\large x −- 60
13x13\large x = 78
∴x\therefore \large x = 6

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the value of $\large x$ given $\ \dfrac{5}{6}\large x$ + 3 = 3$\large x$ $−$ 10?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{5}{6}\large x$ + 3 | \= $3\large x$ $-$ 10 | | $5\large x$ + 18 | \= $18\large x$ $-$ 60 | | $13\large x$ | \= 78 | | $\therefore \large x$| \= {{{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 5

DifficultyLevel

723

Question

What is the value of x\large x given  25x\ \dfrac{2}{5}\large x −- 3 = x\large x −− 6?

Worked Solution
25x\dfrac{2}{5}\large x −- 3 = x\large x −- 6
2x2\large x −- 15 = 5x5\large x −- 30
3x3\large x = 15
∴x\therefore \large x = 5

Question Type

Answer Box

Variables

Variable nameVariable value
question
What is the value of $\large x$ given $\ \dfrac{2}{5}\large x$ $-$ 3 = $\large x$ $−$ 6?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{2}{5}\large x$ $-$ 3 | \= $\large x$ $-$ 6 | | $2\large x$ $-$ 15 | \= $5\large x$ $-$ 30 | | $3\large x$ | \= 15 | | $\therefore \large x$| \= {{{correctAnswer0}}} |
correctAnswer0
5
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
correctAnswer05

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