Algebra, NAPX-J4-CA32

Question

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Worked Solution

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Variant 0

DifficultyLevel

685

Question

A Greek wedding reception area has pillars that are x\large x cm wide and the gap between pillars is y\large y cm.



If the reception area has 9 pillars on one side, the length of that side can be represented by which expression?

Worked Solution

The length of the side

= width of 9 pillars + width of 8 gaps

= 9x9\large x + 8y\large y

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A Greek wedding reception area has pillars that are $\large x$ cm wide and the gap between pillars is $\large y$ cm.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad
If the reception area has 9 pillars on one side, the length of that side can be represented by which expression?
workedSolution
sm_nogap The length of the side >> = width of 9 pillars + width of 8 gaps >> = {{{correctAnswer}}}
correctAnswer
$9\large x$ + 8$\large y$

Answers

Is Correct?Answer
x

8x8\large x + 9y\large y

x

8(x8(\large x + y\large y)

x

9x9\large x + y\large y

✓

9x9\large x + 8y\large y

x

9(x9(\large x + y\large y)

Variant 1

DifficultyLevel

687

Question

A Greek wedding reception area has pillars that are x\large x cm wide and the gap between pillars is y\large y cm.



If the reception area has 12 pillars on one side, the length of that side can be represented by which expression?

Worked Solution

The length of the side

= width of 12 pillars + width of 11 gaps

= 12x12\large x + 11y\large y

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A Greek wedding reception area has pillars that are $\large x$ cm wide and the gap between pillars is $\large y$ cm.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad
If the reception area has 12 pillars on one side, the length of that side can be represented by which expression?
workedSolution
sm_nogap The length of the side >> = width of 12 pillars + width of 11 gaps >> = {{{correctAnswer}}}
correctAnswer
$12\large x$ + 11$\large y$

Answers

Is Correct?Answer
x

12(x12(\large x + y\large y)

✓

12x12\large x + 11y\large y

x

12x12\large x + y\large y

x

11(x11(\large x + y\large y)

x

11x11\large x + 12y\large y

Variant 2

DifficultyLevel

691

Question

A Greek wedding reception area has pillars that are x\large x cm wide and the gap between pillars is y\large y cm.



If the reception area has 16 pillars on one side, the length of that side can be represented by which expression?

Worked Solution

The length of the side

= width of 16 pillars + width of 15 gaps

= 16x16\large x + 15y\large y

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A Greek wedding reception area has pillars that are $\large x$ cm wide and the gap between pillars is $\large y$ cm.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad
If the reception area has 16 pillars on one side, the length of that side can be represented by which expression?
workedSolution
sm_nogap The length of the side >> = width of 16 pillars + width of 15 gaps >> = {{{correctAnswer}}}
correctAnswer
$16\large x$ + 15$\large y$

Answers

Is Correct?Answer
✓

16x16\large x + 15y\large y

x

16(x16(\large x + y\large y)

x

16x16\large x + y\large y

x

15(x15(\large x + y\large y)

x

15x15\large x + 16y\large y

Variant 3

DifficultyLevel

682

Question

A Greek wedding reception area has pillars that are x\large x cm wide and the gap between pillars is y\large y cm.



If the reception area has 7 pillars on one side, the length of that side can be represented by which expression?

Worked Solution

The length of the side

= width of 7 pillars + width of 6 gaps

= 7x7\large x + 6y\large y

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A Greek wedding reception area has pillars that are $\large x$ cm wide and the gap between pillars is $\large y$ cm.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad
If the reception area has 7 pillars on one side, the length of that side can be represented by which expression?
workedSolution
sm_nogap The length of the side >> = width of 7 pillars + width of 6 gaps >> = {{{correctAnswer}}}
correctAnswer
$7\large x$ + 6$\large y$

Answers

Is Correct?Answer
x

6x6\large x + 7y\large y

x

6(x6(\large x + y\large y)

✓

7x7\large x + 6y\large y

x

7(x7(\large x + y\large y)

x

7x7\large x + y\large y

Variant 4

DifficultyLevel

690

Question

A Greek wedding reception area has pillars that are x\large x cm wide and the gap between pillars is y\large y cm.



If the reception area has 6 pillars on each of the 2 opposite walls, the total length of the pillar sections on both walls can be represented by which expression?

Worked Solution

The length of each side

= width of 6 pillars + width of 5 gaps

The length of both sides

= 2 x (width of 6 pillars + width of 5 gaps)

= 2 x (6x\large x + 5y\large y)

= 12x12\large x + 10y\large y

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A Greek wedding reception area has pillars that are $\large x$ cm wide and the gap between pillars is $\large y$ cm.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad
If the reception area has 6 pillars on each of the 2 opposite walls, the total length of the pillar sections on both walls can be represented by which expression?
workedSolution
sm_nogap The length of each side >> = width of 6 pillars + width of 5 gaps sm_nogap The length of both sides >> = 2 x (width of 6 pillars + width of 5 gaps) >> = 2 x (6$\large x$ + 5$\large y$) >> = {{{correctAnswer}}}
correctAnswer
$12\large x$ + 10$\large y$

Answers

Is Correct?Answer
x

12(x12(\large x + y\large y)

x

10(x10(\large x + y\large y)

x

12x12\large x + y\large y

x

10x10\large x + y\large y

✓

12x12\large x + 10y\large y

Variant 5

DifficultyLevel

691

Question

A Greek wedding reception area has pillars that are x\large x cm wide and the gap between pillars is y\large y cm.



If the reception area has 8 pillars on each of the 2 opposite walls, the total length of the pillar sections on both walls can be represented by which expression?

Worked Solution

The length of each side

= width of 8 pillars + width of 7 gaps

The length of both sides

= 2 x (width of 8 pillars + width of 7 gaps)

= 2 x (8x\large x + 7y\large y)

= 16x16\large x + 14y\large y

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A Greek wedding reception area has pillars that are $\large x$ cm wide and the gap between pillars is $\large y$ cm.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad
If the reception area has 8 pillars on each of the 2 opposite walls, the total length of the pillar sections on both walls can be represented by which expression?
workedSolution
sm_nogap The length of each side >> = width of 8 pillars + width of 7 gaps sm_nogap The length of both sides >> = 2 x (width of 8 pillars + width of 7 gaps) >> = 2 x (8$\large x$ + 7$\large y$) >> = {{{correctAnswer}}}
correctAnswer
$16\large x$ + 14$\large y$

Answers

Is Correct?Answer
x

14x14\large x + 16y\large y

✓

16x16\large x + 14y\large y

x

16x16\large x + y\large y

x

2(8x2(8\large x + y\large y)

x

2(x2(\large x + 8y\large y)

Tags