Algebra, NAPX-H4-NC26

Question

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Worked Solution

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Variant 0

DifficultyLevel

704

Question

x4=57\dfrac{\large x}{4} = \dfrac{5}{7}

What is the value of x\large x?

Worked Solution
x4\dfrac{\large x}{4} = 57\dfrac{5}{7}
x\large x = 5×47\dfrac{5 \times 4}{7}
= 207\dfrac{20}{7}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\dfrac{\large x}{4} = \dfrac{5}{7}$ What is the value of $\large x$?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{\large x}{4}$ | \= $\dfrac{5}{7}$ | | $\large x$ | \= $\dfrac{5 \times 4}{7}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{20}{7}$

Answers

Is Correct?Answer
x

528\dfrac{5}{28}

x

2028\dfrac{20}{28}

x

97\dfrac{9}{7}

✓

207\dfrac{20}{7}

Variant 1

DifficultyLevel

702

Question

y4=49\dfrac{\large y}{4} = \dfrac{4}{9}

What is the value of y\large y?

Worked Solution
y4\dfrac{\large y}{4} = 49\dfrac{4}{9}
y\large y = 4×49\dfrac{4 \times 4}{9}
= 169\dfrac{16}{9}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\dfrac{\large y}{4} = \dfrac{4}{9}$ What is the value of $\large y$?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{\large y}{4}$ | \= $\dfrac{4}{9}$ | | $\large y$ | \= $\dfrac{4 \times 4}{9}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{16}{9}$

Answers

Is Correct?Answer
✓

169\dfrac{16}{9}

x

436\dfrac{4}{36}

x

1636\dfrac{16}{36}

x

89\dfrac{8}{9}

Variant 2

DifficultyLevel

703

Question

n7=59\dfrac{\large n}{7} = \dfrac{5}{9}

What is the value of n\large n?

Worked Solution
n7\dfrac{\large n}{7} = 59\dfrac{5}{9}
n\large n = 7×59\dfrac{7 \times 5}{9}
= 359\dfrac{35}{9}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\dfrac{\large n}{7} = \dfrac{5}{9}$ What is the value of $\large n$?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{\large n}{7}$ | \= $\dfrac{5}{9}$ | | $\large n$ | \= $\dfrac{7 \times 5}{9}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{35}{9}$

Answers

Is Correct?Answer
x

129\dfrac{12}{9}

✓

359\dfrac{35}{9}

x

563\dfrac{5}{63}

x

3563\dfrac{35}{63}

Variant 3

DifficultyLevel

705

Question

m11=25\dfrac{\large m}{11} = \dfrac{2}{5}

What is the value of m\large m?

Worked Solution
m11\dfrac{\large m}{11} = 25\dfrac{2}{5}
m\large m = 11×25\dfrac{11 \times 2}{5}
= 225\dfrac{22}{5}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\dfrac{\large m}{11} = \dfrac{2}{5}$ What is the value of $\large m$?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{\large m}{11}$ | \= $\dfrac{2}{5}$ | | $\large m$ | \= $\dfrac{11 \times 2}{5}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{22}{5}$

Answers

Is Correct?Answer
✓

225\dfrac{22}{5}

x

2255\dfrac{22}{55}

x

129\dfrac{12}{9}

x

255\dfrac{2}{55}

Variant 4

DifficultyLevel

715

Question

3p8=117\dfrac{3\large p}{8} = \dfrac{11}{7}

What is the value of p\large p?

Worked Solution
3p8\dfrac{3\large p}{8} = 117\dfrac{11}{7}
3p3 \large p = 11×87\dfrac{11 \times 8}{7}
p\large p = 887×3\dfrac{88}{7 \times 3}
= 8821\dfrac{88}{21}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\dfrac{3\large p}{8} = \dfrac{11}{7}$ What is the value of $\large p$?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{3\large p}{8}$ | \= $\dfrac{11}{7}$ | | $3 \large p$ | \= $\dfrac{11 \times 8}{7}$ | | $\large p$ | \= $\dfrac{88}{7 \times 3}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{88}{21}$

Answers

Is Correct?Answer
x

3356\dfrac{33}{56}

x

1415\dfrac{14}{15}

✓

8821\dfrac{88}{21}

x

7724\dfrac{77}{24}

Variant 5

DifficultyLevel

715

Question

2q3=35\dfrac{2\large q}{3} = \dfrac{3}{5}

What is the value of q\large q?

Worked Solution
2q3\dfrac{2\large q}{3} = 35\dfrac{3}{5}
2q2\large q = 3×35\dfrac{3 \times 3}{5}
q\large q = 95×2\dfrac{9}{5 \times 2}
= 910\dfrac{9}{10}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
$\dfrac{2\large q}{3} = \dfrac{3}{5}$ What is the value of $\large q$?
workedSolution
| | | | ------------: | ---------- | | $\dfrac{2\large q}{3}$ | \= $\dfrac{3}{5}$ | | $2\large q$ | \= $\dfrac{3 \times 3}{5}$ | | $\large q$ | \= $\dfrac{9}{5 \times 2}$ | | | \= {{{correctAnswer}}} |
correctAnswer
$\dfrac{9}{10}$

Answers

Is Correct?Answer
x

159\dfrac{15}{9}

x

58\dfrac{5}{8}

x

615\dfrac{6}{15}

✓

910\dfrac{9}{10}

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