Algebra, NAPX-E4-CA20

Question

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Worked Solution

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Variant 0

DifficultyLevel

606

Question

300=3000−b9300 = 3000 - \dfrac{\large b}{9}

What is the value of b\large b?

Worked Solution

Strategy 1

By trial and error using given options:
300 = 3000 −- 24 3009\dfrac{24\ 300}{9}
= 3000 −- 2700
= 300  ✓\checkmark

∴ b\therefore\ \large b = 24 300

Strategy 2 (advanced)
300 = 3000 −- b9\dfrac{\large b}{9}
b9\dfrac{\large b}{9} = 3000 −- 300
b\large b = 9 ×\times 2700
= 24 300

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$300 = 3000 - \dfrac{\large b}{9}$ What is the value of $\large b$?
workedSolution
Strategy 1 By trial and error using given options:
>| | | | -------------: | ---------- | | 300 | = 3000 $-$ $\dfrac{24\ 300}{9}$ | | | = 3000 $-$ 2700 | | | = 300  $\checkmark$ |

$\therefore\ \large b$ = {{{correctAnswer}}} Strategy 2 (advanced)
>| | | | -------------: | ---------- | | 300 | = 3000 $-$ $\dfrac{\large b}{9}$ | | $\dfrac{\large b}{9}$ | \= 3000 $-$ 300 | | $\large b$ | \= 9 $\times$ 2700 | | | \= {{{correctAnswer}}} |
correctAnswer
24 300

Answers

Is Correct?Answer
x

300

x

366

x

2700

✓

24 300

x

29 700

Variant 1

DifficultyLevel

608

Question

150=1000−x6150 = 1000 - \dfrac{\large x}{6}

What is the value of x\large x?

Worked Solution

Strategy 1

By trial and error using given options:
150 = 1000 −- 51006\dfrac{5100}{6}
= 1000 −- 850
= 150  ✓\checkmark

∴x\therefore \large x = 5100


Strategy 2 (advanced)
150 = 1000 −- x6\dfrac{\large x}{6}
x6\dfrac{\large x}{6} = 1000 −- 150
x\large x = 6 ×\times 850
= 5100

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$150 = 1000 - \dfrac{\large x}{6}$ What is the value of $\large x$?
workedSolution
Strategy 1 By trial and error using given options:
>| | | | -------------: | ---------- | | 150 | = 1000 $-$ $\dfrac{5100}{6}$ | | | = 1000 $-$ 850 | | | = 150  $\checkmark$ |
$\therefore \large x$ = {{{correctAnswer}}}

Strategy 2 (advanced)
>| | | | -------------: | ---------- | | 150 | = 1000 $-$ $\dfrac{\large x}{6}$ | | $\dfrac{\large x}{6}$ | \= 1000 $-$ 150 | | $\large x$ | \= 6 $\times$ 850 | | | \= {{{correctAnswer}}} |
correctAnswer
5100

Answers

Is Correct?Answer
x

150

x

850

✓

5100

x

6900

x

10 100

Variant 2

DifficultyLevel

611

Question

200=2000−n5200 = 2000 - \dfrac{\large n}{5}

What is the value of n\large n?

Worked Solution

Strategy 1

By trial and error using given options:
200 = 2000 −- 90005\dfrac{9000}{5}
= 2000 −- 1800
= 200  ✓\checkmark

∴n\therefore \large n = 9000


Strategy 2 (advanced)
200 = 2000 −- n5\dfrac{\large n}{5}
n5\dfrac{\large n}{5} = 2000 −- 200
n\large n = 5 ×\times 1800
= 9000

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$200 = 2000 - \dfrac{\large n}{5}$ What is the value of $\large n$?
workedSolution
Strategy 1 By trial and error using given options:
>| | | | -------------: | ---------- | | 200 | = 2000 $-$ $\dfrac{9000}{5}$ | | | = 2000 $-$ 1800 | | | = 200  $\checkmark$ |
$\therefore \large n$ = {{{correctAnswer}}}

Strategy 2 (advanced)
>| | | | -------------: | ---------- | | 200 | = 2000 $-$ $\dfrac{\large n}{5}$ | | $\dfrac{\large n}{5}$ | \= 2000 $-$ 200 | | $\large n$ | \= 5 $\times$ 1800 | | | \= {{{correctAnswer}}} |
correctAnswer
9000

Answers

Is Correct?Answer
x

40

x

200

x

5600

✓

9000

x

11 000

Variant 3

DifficultyLevel

614

Question

180=2000−y6180 = 2000 - \dfrac{\large y}{6}

What is the value of y\large y?

Worked Solution

Strategy 1

By trial and error using given options:
180 = 2000 −- 10 9206\dfrac{10\ 920}{6}
= 2000 −- 1820
= 180  ✓\checkmark

∴y\therefore \large y = 10 920


Strategy 2 (advanced)
180 = 2000 −- y6\dfrac{\large y}{6}
y6\dfrac{\large y}{6} = 2000 −- 180
y\large y = 6 ×\times 1820
= 10 920

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$180 = 2000 - \dfrac{\large y}{6}$ What is the value of $\large y$?
workedSolution
Strategy 1 By trial and error using given options:
>| | | | -------------: | ---------- | | 180 | = 2000 $-$ $\dfrac{10\ 920}{6}$ | | | = 2000 $-$ 1820 | | | = 180  $\checkmark$ |
$\therefore \large y$ = {{{correctAnswer}}}

Strategy 2 (advanced)
>| | | | -------------: | ---------- | | 180 | = 2000 $-$ $\dfrac{\large y}{6}$ | | $\dfrac{\large y}{6}$ | \= 2000 $-$ 180 | | $\large y$ | \= 6 $\times$ 1820 | | | \= {{{correctAnswer}}} |
correctAnswer
10 920

Answers

Is Correct?Answer
x

180

x

363

x

1820

✓

10 920

x

13 080

Variant 4

DifficultyLevel

622

Question

250=5000−p10250 = 5000 - \dfrac{\large p}{10}

What is the value of p\large p?

Worked Solution

Strategy 1

By trial and error using given options:
250 = 5000 −- 47 50010\dfrac{47\ 500}{10}
= 5000 −- 4750
= 250  ✓\checkmark

∴p\therefore \large p = 47 500


Strategy 2 (advanced)
250 = 5000 −- p10\dfrac{\large p}{10}
p10\dfrac{\large p}{10} = 5000 −- 250
p\large p = 10 ×\times 4750
= 47 500

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$250 = 5000 - \dfrac{\large p}{10}$ What is the value of $\large p$?
workedSolution
Strategy 1 By trial and error using given options:
>| | | | -------------: | ---------- | | 250 | = 5000 $-$ $\dfrac{47\ 500}{10}$ | | | = 5000 $-$ 4750 | | | = 250  $\checkmark$ |
$\therefore \large p$ = {{{correctAnswer}}}

Strategy 2 (advanced)
>| | | | -------------: | ---------- | | 250 | = 5000 $-$ $\dfrac{\large p}{10}$ | | $\dfrac{\large p}{10}$ | \= 5000 $-$ 250 | | $\large p$ | \= 10 $\times$ 4750 | | | \= {{{correctAnswer}}} |
correctAnswer
47 500

Answers

Is Correct?Answer
x

250

x

475

x

2500

x

4225

✓

47 500

Variant 5

DifficultyLevel

615

Question

90=200−m690 = 200 - \dfrac{\large m}{6}

What is the value of m\large m?

Worked Solution

Strategy 1

By trial and error using given options:
90 = 200 −- 6606\dfrac{660}{6}
= 200 −- 110
= 90  ✓\checkmark

∴m\therefore \large m = 660


Strategy 2 (advanced)
90 = 200 −- m6\dfrac{\large m}{6}
m6\dfrac{\large m}{6} = 200 −- 90
m\large m = 6 ×\times 110
= 660

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$90 = 200 - \dfrac{\large m}{6}$ What is the value of $\large m$?
workedSolution
Strategy 1 By trial and error using given options:
>| | | | -------------: | ---------- | | 90 | = 200 $-$ $\dfrac{660}{6}$ | | | = 200 $-$ 110 | | | = 90  $\checkmark$ |
$\therefore \large m$ = {{{correctAnswer}}}

Strategy 2 (advanced)
>| | | | -------------: | ---------- | | 90 | = 200 $-$ $\dfrac{\large m}{6}$ | | $\dfrac{\large m}{6}$ | \= 200 $-$ 90 | | $\large m$ | \= 6 $\times$ 110 | | | \= {{{correctAnswer}}} |
correctAnswer
660

Answers

Is Correct?Answer
x

1740

✓

660

x

57

x

48

x

18

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