Algebra, NAPX-G4-NC24

Question

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Worked Solution

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Variant 0

DifficultyLevel

652

Question

Harley solved the following equation:

4x4\large x + 3 = 12

Which of the following could be two lines of her solution?

Worked Solution
4x4\large x + 3 = 12
4x4\large x = 9
x\large x = 94\dfrac{9}{4}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Harley solved the following equation: $4\large x$ + 3 = 12 Which of the following could be two lines of her solution?
workedSolution
| | | | -------------: | ---------- | | $4\large x$ + 3 | \= 12 | | $4\large x$ | \= 9 | | $\large x$| \= $\dfrac{9}{4}$ |
correctAnswer
| | | | ------------: | ---------- | | $4\large x$ | \= 9 | | $\large x$ | \= $\dfrac{9}{4}$ |

Answers

Is Correct?Answer
x
4x4\large x = 15
x\large x = 154\dfrac{15}{4}
x
4x4\large x = 15
x\large x = 415\dfrac{4}{15}
✓
4x4\large x = 9
x\large x = 94\dfrac{9}{4}
x
4x4\large x = 9
x\large x = 49\dfrac{4}{9}

Variant 1

DifficultyLevel

652

Question

Charli solved the following equation:

3x3\large x + 8 = 15

Which of the following could be two lines of her solution?

Worked Solution
3x3\large x + 8 = 15
3x3\large x = 7
x\large x = 73\dfrac{7}{3}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Charli solved the following equation: $3\large x$ + 8 = 15 Which of the following could be two lines of her solution?
workedSolution
| | | | -------------: | ---------- | | $3\large x$ + 8 | \= 15 | | $3\large x$ | \= 7 | | $\large x$| \= $\dfrac{7}{3}$ |
correctAnswer
| | | | ------------: | ---------- | | $3\large x$ | \= 7 | | $\large x$ | \= $\dfrac{7}{3}$ |

Answers

Is Correct?Answer
x
3x3\large x = 23
x\large x = 233\dfrac{23}{3}
x
3x3\large x = 23
x\large x = 233\dfrac{23}{3}
x
3x3\large x = 7
x\large x = 37\dfrac{3}{7}
✓
3x3\large x = 7
x\large x = 73\dfrac{7}{3}

Variant 2

DifficultyLevel

650

Question

Blinky solved the following equation:

2x2\large x −- 7 = 4

Which of the following could be two lines of her solution?

Worked Solution
2x2\large x −- 7 = 4
2x2\large x = 11
x\large x = 112\dfrac{11}{2}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Blinky solved the following equation: $2\large x$ $-$ 7 = 4 Which of the following could be two lines of her solution?
workedSolution
| | | | -------------: | ---------- | | $2\large x$ $-$ 7 | \= 4 | | $2\large x$ | \= 11 | | $\large x$| \= $\dfrac{11}{2}$ |
correctAnswer
| | | | ------------: | ---------- | | $2\large x$ | \= 11 | | $\large x$ | \= $\dfrac{11}{2}$ |

Answers

Is Correct?Answer
✓
2x2\large x = 11
x\large x = 112\dfrac{11}{2}
x
2x2\large x = 11
x\large x = 211\dfrac{2}{11}
x
2x2\large x = −- 3
x\large x = −- 32\dfrac{3}{2}
x
2x2\large x = −- 3
x\large x = −- 23\dfrac{2}{3}

Variant 3

DifficultyLevel

655

Question

Joanna solved the following equation:

5x5\large x −- 8 = −- 5

Which of the following could be two lines of her solution?

Worked Solution
5x5\large x −- 8 = −- 5
5x5\large x = 3
x\large x = 35\dfrac{3}{5}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Joanna solved the following equation: $5\large x$ $-$ 8 = $-$ 5 Which of the following could be two lines of her solution?
workedSolution
| | | | -------------: | ---------- | | $5\large x$ $-$ 8 | \= $-$ 5 | | $5\large x$ | \= 3 | | $\large x$| \= $\dfrac{3}{5}$ |
correctAnswer
| | | | ------------: | ---------- | | $5\large x$ | \= 3 | | $\large x$ | \= $\dfrac{3}{5}$ |

Answers

Is Correct?Answer
x
5x5\large x = 3
x\large x = 53\dfrac{5}{3}
✓
5x5\large x = 3
x\large x = 35\dfrac{3}{5}
x
5x5\large x = −- 13
x\large x = −- 135\dfrac{13}{5}
x
5x5\large x = −- 13
x\large x = −- 513\dfrac{5}{13}

Variant 4

DifficultyLevel

655

Question

Sheldon solved the following equation:

7x7\large x + 8 = −- 2

Which of the following could be two lines of her solution?

Worked Solution
7x7\large x + 8 = −- 2
7x7\large x = −- 10
x\large x = −- 107\dfrac{10}{7}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Sheldon solved the following equation: $7\large x$ + 8 = $-$ 2 Which of the following could be two lines of her solution?
workedSolution
| | | | -------------: | ---------- | | $7\large x$ + 8 | \= $-$ 2 | | $7\large x$ | \= $-$ 10 | | $\large x$| \= $-$ $\dfrac{10}{7}$ |
correctAnswer
| | | | ------------: | ---------- | | $7\large x$ | \= $-$ 10 | | $\large x$ | \= $-$ $\dfrac{10}{7}$ |

Answers

Is Correct?Answer
x
7x7\large x = −- 10
x\large x = −- 710\dfrac{7}{10}
✓
7x7\large x = −- 10
x\large x = −- 107\dfrac{10}{7}
x
7x7\large x = 6
x\large x = 67\dfrac{6}{7}
x
7x7\large x = 6
x\large x = 76\dfrac{7}{6}

Variant 5

DifficultyLevel

659

Question

Joyce solved the following equation:

−- 3x3\large x + 5 = 3

Which of the following could be two lines of her solution?

Worked Solution
−- 3x3\large x + 5 = 3
−- 3x3\large x = −- 2
x\large x = 23\dfrac{2}{3}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Joyce solved the following equation: $-$ $3\large x$ + 5 = 3 Which of the following could be two lines of her solution?
workedSolution
| | | | -------------: | ---------- | | $-$ $3\large x$ + 5 | \= 3 | | $-$ $3\large x$ | \= $-$ 2 | | $\large x$| \= $\dfrac{2}{3}$ |
correctAnswer
| | | | ------------: | ---------- | | $-$ $3\large x$ | \= $-$ 2 | | $\large x$ | \= $\dfrac{2}{3}$ |

Answers

Is Correct?Answer
x
−- 3x3\large x = 8
x\large x = −- 83\dfrac{8}{3}
x
−- 3x3\large x = 8
x\large x = −- 38\dfrac{3}{8}
x
−- 3x3\large x = −- 2
x\large x = −- 23\dfrac{2}{3}
✓
−- 3x3\large x = −- 2
x\large x = 23\dfrac{2}{3}

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