20058

Question

The quarterly cost (C)(C) of {{sport}} is ${{cost1}} for each session (S)(S) plus a fixed fee of ${{cost2}}.

This can be expressed by the formula

C=cost1S+cost2C = {{cost1}}S + {{cost2}}


If {{name}} pays ${{total}} for {{sport}} in a quarter, how many training sessions did she attend?

Worked Solution

Substitute values into formula:
{{total}} = {{cost1}}SS + {{cost2}}
{{cost1}}SS = {{cost3}}
SS = {{cost3}} ÷\div {{cost1}}
= {{correctAnswer}}

Variant 0

DifficultyLevel

577

Question

The quarterly cost (C)(C) of swimming squad training is $5 for each session (S)(S) plus a fixed fee of $10.

This can be expressed by the formula

C=5S+10C = 5S + 10


If Hannah pays $190 for swimming squad training in a quarter, how many training sessions did she attend?

Worked Solution

Substitute values into formula:
190 = 5SS + 10
5SS = 180
SS = 180 ÷\div 5
= 36

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
sport
swimming squad training
cost1
5
cost2
10
name
Hannah
total
190
cost3
180
correctAnswer
36

Answers

Is Correct?Answer
x

32

✓

36

x

38

x

40

Variant 1

DifficultyLevel

577

Question

The quarterly cost (C)(C) of tennis training is $4 for each session (S)(S) plus a fixed fee of $20.

This can be expressed by the formula

C=4S+20C = 4S + 20


If Anna pays $140 for tennis training in a quarter, how many training sessions did she attend?

Worked Solution

Substitute values into formula:
140 = 4SS + 20
4SS = 120
SS = 120 ÷\div 4
= 30

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
sport
tennis training
cost1
4
cost2
20
name
Anna
total
140
cost3
120
correctAnswer
30

Answers

Is Correct?Answer
x

25

x

26

✓

30

x

35

Variant 2

DifficultyLevel

577

Question

The quarterly cost (C)(C) of sprint training is $4 for each session (S)(S) plus a fixed fee of $30.

This can be expressed by the formula

C=4S+30C = 4S + 30


If Michelle pays $190 for sprint training in a quarter, how many training sessions did she attend?

Worked Solution

Substitute values into formula:
190 = 4SS + 30
4SS = 160
SS = 160 ÷\div 4
= 40

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
sport
sprint training
cost1
4
cost2
30
name
Michelle
total
190
cost3
160
correctAnswer
40

Answers

Is Correct?Answer
x

32

✓

40

x

45

x

48

Variant 3

DifficultyLevel

577

Question

The quarterly cost (C)(C) of hockey training is $5 for each session (S)(S) plus a fixed fee of $10.

This can be expressed by the formula

C=5S+10C = 5S + 10


If Miley pays $160 for hockey training in a quarter, how many training sessions did she attend?

Worked Solution

Substitute values into formula:
160 = 5SS + 10
5SS = 150
SS = 150 ÷\div 5
= 30

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
sport
hockey training
cost1
5
cost2
10
name
Miley
total
160
cost3
150
correctAnswer
30

Answers

Is Correct?Answer
✓

30

x

32

x

36

x

40

Variant 4

DifficultyLevel

577

Question

The quarterly cost (C)(C) of squash training is $4 for each session (S)(S) plus a fixed fee of $40.

This can be expressed by the formula

C=4S+40C = 4S + 40


If Rachel pays $180 for squash training in a quarter, how many training sessions did she attend?

Worked Solution

Substitute values into formula:
180 = 4SS + 40
4SS = 140
SS = 140 ÷\div 4
= 35

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
sport
squash training
cost1
4
cost2
40
name
Rachel
total
180
cost3
140
correctAnswer
35

Answers

Is Correct?Answer
x

30

✓

35

x

40

x

45