Algebra, NAPX-p170065v01

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

594

Question

A salesman earns $84 for every 7 litres of paint he sells.

Which expression shows how much he would earn for selling x\large x litres?

Worked Solution

84 →\rarr 7 litres

84 ÷\div 7 →\rarr 1 litre

∴\therefore (84÷7)×x(84 \div 7) \times \large x → x\rarr \ \large x litres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A salesman earns $84 for every 7 litres of paint he sells. Which expression shows how much he would earn for selling $\large x$ litres?
workedSolution
84 $\rarr$ 7 litres 84 $\div$ 7 $\rarr$ 1 litre $\therefore$ {{{correctAnswer}}} $\rarr \ \large x$ litres
correctAnswer
$(84 \div 7) \times \large x$

Answers

Is Correct?Answer
x

(84×7)÷x(84 \times 7) \div \large x

x

(84÷7)÷x(84 \div 7) \div \large x

✓

(84÷7)×x(84 \div 7) \times \large x

x

(84−7)×x(84 - 7) \times \large x

Variant 1

DifficultyLevel

596

Question

A fitness instructor earns $90 for every 4 hours of instruction she provides.

Which expression shows how much she would earn for providing x\large x hours of instruction?

Worked Solution

90 →\rarr 4 hours

90 ÷\div 4 →\rarr 1 hour

∴\therefore (90÷4)×x(90 \div 4) \times \large x → x\rarr \ \large x hours

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A fitness instructor earns $90 for every 4 hours of instruction she provides. Which expression shows how much she would earn for providing $\large x$ hours of instruction?
workedSolution
90 $\rarr$ 4 hours 90 $\div$ 4 $\rarr$ 1 hour $\therefore$ {{{correctAnswer}}} $\rarr \ \large x$ hours
correctAnswer
$(90 \div 4) \times \large x$

Answers

Is Correct?Answer
✓

(90÷4)×x(90 \div 4) \times \large x

x

(90×4)÷x(90 \times 4) \div \large x

x

(90÷4)÷x(90 \div 4) \div \large x

x

(90−4)×x(90 - 4) \times \large x

Variant 2

DifficultyLevel

598

Question

A quad bike hire company charges $280 for every 5 hours of hire.

Which expression shows how much would would be charged for a hire of x\large x hours?

Worked Solution

280 →\rarr 5 hours

280 ÷\div 5 →\rarr 1 hour

∴\therefore (280÷5)×x(280 \div 5) \times \large x → x\rarr \ \large x hours

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A quad bike hire company charges $280 for every 5 hours of hire. Which expression shows how much would would be charged for a hire of $\large x$ hours?
workedSolution
280 $\rarr$ 5 hours 280 $\div$ 5 $\rarr$ 1 hour $\therefore$ {{{correctAnswer}}} $\rarr \ \large x$ hours
correctAnswer
$(280 \div 5) \times \large x$

Answers

Is Correct?Answer
x

(280−5)×x(280 - 5) \times \large x

x

(280×5)÷x(280 \times 5) \div \large x

x

(280÷5)÷x(280 \div 5) \div \large x

✓

(280÷5)×x(280 \div 5) \times \large x

Variant 3

DifficultyLevel

598

Question

A pet shop charges $120 for every 8 kilograms of dog biscuits it sells.

Which expression shows how much would be charged for a sale of x\large x kilograms?

Worked Solution

120 →\rarr 8 kilograms

120 ÷\div 8 →\rarr 1 kilogram

∴\therefore (120÷8)×x(120 \div 8) \times \large x → x\rarr \ \large x kilograms

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A pet shop charges $120 for every 8 kilograms of dog biscuits it sells. Which expression shows how much would be charged for a sale of $\large x$ kilograms?
workedSolution
120 $\rarr$ 8 kilograms 120 $\div$ 8 $\rarr$ 1 kilogram $\therefore$ {{{correctAnswer}}} $\rarr \ \large x$ kilograms
correctAnswer
$(120 \div 8) \times \large x$

Answers

Is Correct?Answer
x

(120×8)÷x(120 \times 8) \div \large x

✓

(120÷8)×x(120 \div 8) \times \large x

x

(120÷8)÷x(120 \div 8) \div \large x

x

(120−8)×x(120 - 8) \times \large x

Variant 4

DifficultyLevel

600

Question

A market stall holder charges $36 for every 4 jars of honey they sell.

Which expression shows how much would be charged for a sale of x\large x jars?

Worked Solution

36 →\rarr 4 jars

36 ÷\div 4 →\rarr 1 jar

∴\therefore (36÷4)×x(36 \div 4) \times \large x → x\rarr \ \large x jars

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A market stall holder charges $36 for every 4 jars of honey they sell. Which expression shows how much would be charged for a sale of $\large x$ jars?
workedSolution
36 $\rarr$ 4 jars 36 $\div$ 4 $\rarr$ 1 jar $\therefore$ {{{correctAnswer}}} $\rarr \ \large x$ jars
correctAnswer
$(36 \div 4) \times \large x$

Answers

Is Correct?Answer
x

(36×4÷x(36 \times 4 \div \large x

✓

(36÷4)×x(36 \div 4) \times \large x

x

(36÷4)÷x(36 \div 4) \div \large x

x

(36−4)×x(36 - 4) \times \large x

Variant 5

DifficultyLevel

602

Question

Jason paid $102.60 for 45 litres of petrol.

Which expression shows how much he would pay for x\large x litres of petrol?

Worked Solution

102.60 →\rarr 45 litres

102.60 ÷\div 45 →\rarr 1 litre

∴\therefore (102.60÷45)×x(102.60 \div 45) \times \large x → x\rarr \ \large x litres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jason paid $102.60 for 45 litres of petrol. Which expression shows how much he would pay for $\large x$ litres of petrol?
workedSolution
102.60 $\rarr$ 45 litres 102.60 $\div$ 45 $\rarr$ 1 litre $\therefore$ {{{correctAnswer}}} $\rarr \ \large x$ litres
correctAnswer
$(102.60 \div 45) \times \large x$

Answers

Is Correct?Answer
x

(102.60÷45)÷x(102.60 \div 45) \div \large x

x

(102.60−45)×x(102.60 - 45) \times \large x

x

(102.60×45÷x(102.60 \times 45 \div \large x

✓

(102.60÷45)×x(102.60 \div 45) \times \large x

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