Algebra, NAPX-p115106v01

Question

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Worked Solution

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Variant 0

DifficultyLevel

601

Question

A food delivery company provides 3 levels of service: Regular, Moderate and Premium.

Regular service costs $15.50 less than Moderate service.

Regular service costs $45.80 less than Premium service.

Which of these equations correctly represents the cost of Moderate service?

Worked Solution

Extra cost of Premium service over Moderate service
= 45.80 − 15.5045.80 \ − \ 15.50
= $30.30

∴\therefore Cost of Moderate Service = Cost of Premium service – $30.30

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A food delivery company provides 3 levels of service: Regular, Moderate and Premium. Regular service costs $15.50 less than Moderate service. Regular service costs $45.80 less than Premium service. Which of these equations correctly represents the cost of Moderate service?
workedSolution
sm_nogap Extra cost of Premium service over Moderate service
>>| | | ---------- | | \= $45.80 \ − \ 15.50$ | | \= $30.30 |

$\therefore$ {{{correctAnswer}}}
correctAnswer
Cost of Moderate Service = Cost of Premium service – $30.30

Answers

Is Correct?Answer
x

Cost of Moderate Service = Cost of Premium service – $15.50

✓

Cost of Moderate Service = Cost of Premium service – $30.30

x

Cost of Moderate Service = Cost of Premium service – $20.70

x

Cost of Moderate Service = Cost of Premium service – $45.80

Variant 1

DifficultyLevel

601

Question

A delivery company provides 3 levels of service: Regular, Moderate and Premium.

Regular service costs $10.20 less than Moderate service.

Regular service costs $25.80 less than Premium service.

Which of these equations correctly represents the cost of Moderate service?

Worked Solution

Extra cost of Premium service over Moderate service
= 25.80 − 10.2025.80 \ − \ 10.20
= $15.60

∴\therefore Cost of Moderate Service = Cost of Premium service – $15.60

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A delivery company provides 3 levels of service: Regular, Moderate and Premium. Regular service costs $10.20 less than Moderate service. Regular service costs $25.80 less than Premium service. Which of these equations correctly represents the cost of Moderate service?
workedSolution
sm_nogap Extra cost of Premium service over Moderate service
>>| | | ---------- | | \= $25.80 \ − \ 10.20$ | | \= $15.60 |

$\therefore$ {{{correctAnswer}}}
correctAnswer
Cost of Moderate Service = Cost of Premium service – $15.60

Answers

Is Correct?Answer
✓

Cost of Moderate Service = Cost of Premium service – $15.60

x

Cost of Moderate Service = Cost of Premium service – $25.80

x

Cost of Moderate Service = Cost of Premium service – $10.20

x

Cost of Moderate Service = Cost of Premium service – $12.00

Variant 2

DifficultyLevel

603

Question

A catering company provides grazing boxes in 3 sizes: Small, Medium and Large.

A Small box costs $8.50 less than the Medium box.

A Small box costs $24.30 less than the Large box.

Which of these equations correctly represents the cost of Medium box?

Worked Solution

Extra cost of a Large box over a Medium box
= 24.30 − 8.5024.30 \ − \ 8.50
= $15.80

∴\therefore Cost of Medium box = Cost of Large box – $15.80

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A catering company provides grazing boxes in 3 sizes: Small, Medium and Large. A Small box costs $8.50 less than the Medium box. A Small box costs $24.30 less than the Large box. Which of these equations correctly represents the cost of Medium box?
workedSolution
sm_nogap Extra cost of a Large box over a Medium box
>>| | | ---------- | | \= $24.30 \ − \ 8.50$ | | \= $15.80 |

$\therefore$ {{{correctAnswer}}}
correctAnswer
Cost of Medium box = Cost of Large box – $15.80

Answers

Is Correct?Answer
x

Cost of Medium box = Cost of Large box – $8.50

x

Cost of Medium box = Cost of Large box – $11.10

✓

Cost of Medium box = Cost of Large box – $15.80

x

Cost of Medium box = Cost of Large box – $24.30

Variant 3

DifficultyLevel

603

Question

The remaining tickets for "Disney on Ice" come in 3 price levels: Front Row, Premium and VIP.

A VIP ticket costs $12.00 less than a Premium ticket.

A VIP ticket costs $56.00 less than a Front Row ticket.

Which of these equations correctly represents the cost of a Premium ticket?

Worked Solution

Extra cost of a Front Row ticket over a Premium ticket
= 56.00 − 12.0056.00 \ − \ 12.00
= $44.00

∴\therefore Cost of Premium ticket = Cost of Front Row ticket – $44.00

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The remaining tickets for "Disney on Ice" come in 3 price levels: Front Row, Premium and VIP. A VIP ticket costs $12.00 less than a Premium ticket. A VIP ticket costs $56.00 less than a Front Row ticket. Which of these equations correctly represents the cost of a Premium ticket?
workedSolution
sm_nogap Extra cost of a Front Row ticket over a Premium ticket
>>| | | ---------- | | \= $56.00 \ − \ 12.00$ | | \= $44.00 |

$\therefore$ {{{correctAnswer}}}
correctAnswer
Cost of Premium ticket = Cost of Front Row ticket – $44.00

Answers

Is Correct?Answer
x

Cost of Premium ticket = Cost of Front Row ticket – $22.70

x

Cost of Premium ticket = Cost of Front Row ticket – $56.00

x

Cost of Premium ticket = Cost of Front Row ticket – $12.00

✓

Cost of Premium ticket = Cost of Front Row ticket – $44.00

Variant 4

DifficultyLevel

606

Question

Jocasta is headed to New Zealand for her birthday and is searching flights.

In order of cost, Qantas had the most expensive tickets, then Air New Zealand followed by Jetstar as the cheapest.

A Jetstar ticket costs $75.00 less than an Air New Zealand ticket.

A Jetstar ticket costs $118.00 less than a Qantas ticket.

Which of these equations correctly represents the cost of an Air New Zealand ticket?

Worked Solution

Extra cost of a Qantas ticket over Air New Zealand ticket
= 118.00 − 75.00118.00 \ − \ 75.00
= $43.00

∴\therefore Cost of Air New Zealand ticket = Cost of Qantas ticket – $43

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jocasta is headed to New Zealand for her birthday and is searching flights. In order of cost, Qantas had the most expensive tickets, then Air New Zealand followed by Jetstar as the cheapest. A Jetstar ticket costs $75.00 less than an Air New Zealand ticket. A Jetstar ticket costs $118.00 less than a Qantas ticket. Which of these equations correctly represents the cost of an Air New Zealand ticket?
workedSolution
sm_nogap Extra cost of a Qantas ticket over Air New Zealand ticket
>>| | | ---------- | | \= $118.00 \ − \ 75.00$ | | \= $43.00 |

$\therefore$ {{{correctAnswer}}}
correctAnswer
Cost of Air New Zealand ticket = Cost of Qantas ticket – $43

Answers

Is Correct?Answer
✓

Cost of Air New Zealand ticket = Cost of Qantas ticket – $43

x

Cost of Air New Zealand ticket = Cost of Qantas ticket – $64.00

x

Cost of Air New Zealand ticket = Cost of Qantas ticket – $75.00

x

Cost of Air New Zealand ticket = Cost of Qantas ticket – $118.00

Variant 5

DifficultyLevel

598

Question

A cinema complex provides 3 levels of movie tickets: Gold Class, V-Max and Original.

Original tickets cost $5.00 less than V-Max tickets.

Original tickets cost $21.50 less than Gold Class tickets.

Which of these equations correctly represents the cost of a V-Max ticket?

Worked Solution

Extra cost of Gold Class tickets over V-Max tickets
= 21.50 − 5.0021.50 \ − \ 5.00
= $16.50

∴\therefore Cost of V-Max ticket = Cost of Gold Class ticket – $16.50

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A cinema complex provides 3 levels of movie tickets: Gold Class, V-Max and Original. Original tickets cost $5.00 less than V-Max tickets. Original tickets cost $21.50 less than Gold Class tickets. Which of these equations correctly represents the cost of a V-Max ticket?
workedSolution
sm_nogap Extra cost of Gold Class tickets over V-Max tickets
>>| | | ---------- | | \= $21.50 \ − \ 5.00$ | | \= $16.50 |

$\therefore$ {{{correctAnswer}}}
correctAnswer
Cost of V-Max ticket = Cost of Gold Class ticket – $16.50

Answers

Is Correct?Answer
x

Cost of V-Max ticket = Cost of Gold Class ticket – $5

x

Cost of V-Max ticket = Cost of Gold Class ticket – $8.80

✓

Cost of V-Max ticket = Cost of Gold Class ticket – $16.50

x

Cost of V-Max ticket = Cost of Gold Class ticket – $21.50

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