Algebra, NAPX-H4-NC08, NAPX-H3-NC15

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

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

Variant 0

DifficultyLevel

578

Question

= 8

$\times$ = ( $\times$ 3 ) + +

What is the value of ?

Worked Solution

Strategy 1

Test each option:

If = 4,


8 $\times$ 4	= 8 $\times$ 3 + 4 + 4
32	= 32 $\checkmark$

Strategy 2 (more advanced)

8 $\times$ = 8 $\times$ 3 + +

6 x = 24

$\therefore$
= 4

Question Type

Multiple Choice (One Answer)

Variables

Variable name	Variable value
question	![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) = 8 ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = (![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ 3 ) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) What is the value of ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg)?
workedSolution	Strategy 1 Test each option: If ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 4, \| \| \| \| ---------------------: \| -------------- \| \| 8 $\times$ 4 \| \= 8 $\times$ 3 + 4 + 4 \| \| 32 \| \= 32 $\checkmark$ \| Strategy 2 (more advanced) 8 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 8 $\times$ 3 + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) 6 x ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 24 $\therefore$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = {{{correctAnswer}}}
correctAnswer	4

Answers

Is Correct?	Answer
x	1
x	2
✓	4
x	6
x	8

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

Variant 1

DifficultyLevel

576

Question

= 3

$\times$ = ( $\times$ 3 ) + +

What is the value of ?

Worked Solution

Strategy 1

Test each option:

If = 9,


3 $\times$ 9	= 3 $\times$ 3 + 9 + 9
27	= 27 $\checkmark$

Strategy 2 (more advanced)

3 $\times$ = 3 $\times$ 3 + +

1 x = 9

$\therefore$
= 9

Question Type

Multiple Choice (One Answer)

Variables

Variable name	Variable value
question	![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) = 3 ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = (![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ 3 ) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) What is the value of ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg)?
workedSolution	Strategy 1 Test each option: If ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 9, \| \| \| \| ---------------------: \| -------------- \| \| 3 $\times$ 9 \| \= 3 $\times$ 3 + 9 + 9 \| \| 27 \| \= 27 $\checkmark$ \| Strategy 2 (more advanced) 3 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 3 $\times$ 3 + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) 1 x ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 9 $\therefore$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = {{{correctAnswer}}}
correctAnswer	9

Answers

Is Correct?	Answer
x	1
x	3
x	6
✓	9
x	12

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

Variant 2

DifficultyLevel

577

Question

= 6

$\times$ = ( $\times$ 2 ) + +

What is the value of ?

Worked Solution

Strategy 1

Test each option:

If = 3,


6 $\times$ 3	= 6 $\times$ 2 + 3 + 3
18	= 18 $\checkmark$

Strategy 2 (more advanced)

6 $\times$ = 6 $\times$ 2 + +

4 x = 12

$\therefore$
= 3

Question Type

Multiple Choice (One Answer)

Variables

Variable name	Variable value
question	![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) = 6 ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = (![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ 2 ) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) What is the value of ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg)?
workedSolution	Strategy 1 Test each option: If ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 3, \| \| \| \| ---------------------: \| -------------- \| \| 6 $\times$ 3 \| \= 6 $\times$ 2 + 3 + 3 \| \| 18 \| \= 18 $\checkmark$ \| Strategy 2 (more advanced) 6 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 6 $\times$ 2 + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) 4 x ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 12 $\therefore$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = {{{correctAnswer}}}
correctAnswer	3

Answers

Is Correct?	Answer
x	2
✓	3
x	4
x	6
x	9

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

Variant 3

DifficultyLevel

576

Question

= 4

$\times$ = ( $\times$ 5 ) + +

What is the value of ?

Worked Solution

Strategy 1

Test each option:

If = 10,


4 $\times$ 10	= 4 $\times$ 5 + 10 + 10
40	= 40 $\checkmark$

Strategy 2 (more advanced)

4 $\times$ = 4 $\times$ 5 + +

2 x = 20

$\therefore$
= 10

Question Type

Multiple Choice (One Answer)

Variables

Variable name	Variable value
question	![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) = 4 ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = (![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ 5 ) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) What is the value of ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg)?
workedSolution	Strategy 1 Test each option: If ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 10, \| \| \| \| ---------------------: \| -------------- \| \| 4 $\times$ 10 \| \= 4 $\times$ 5 + 10 + 10 \| \| 40 \| \= 40 $\checkmark$ \| Strategy 2 (more advanced) 4 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 4 $\times$ 5 + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) 2 x ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 20 $\therefore$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = {{{correctAnswer}}}
correctAnswer	10

Answers

Is Correct?	Answer
x	1
x	2
x	5
x	8
✓	10

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

Variant 4

DifficultyLevel

575

Question

= 9

$\times$ = ( $\times$ 2 ) + + +

What is the value of ?

Worked Solution

Strategy 1

Test each option:

If = 3,


9 $\times$ 3	= 9 $\times$ 2 + 3 + 3 + 3
27	= 27 $\checkmark$

Strategy 2 (more advanced)

9 $\times$ = 9 $\times$ 2 + + +

6 x = 18

$\therefore$
= 3

Question Type

Multiple Choice (One Answer)

Variables

Variable name	Variable value
question	![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) = 9 ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = (![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ 2 ) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) What is the value of ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg)?
workedSolution	Strategy 1 Test each option: If ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 3, \| \| \| \| ---------------------: \| -------------- \| \| 9 $\times$ 3 \| \= 9 $\times$ 2 + 3 + 3 + 3 \| \| 27 \| \= 27 $\checkmark$ \| Strategy 2 (more advanced) 9 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 9 $\times$ 2 + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) 6 x ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 18 $\therefore$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = {{{correctAnswer}}}
correctAnswer	3

Answers

Is Correct?	Answer
x	1
x	2
✓	3
x	6
x	9

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

Variant 5

DifficultyLevel

570

Question

= 2

$\times$ = ( $\times$ 3 ) +

What is the value of ?

Worked Solution

Strategy 1

Test each option:

If = 6,


2 $\times$ 6	= 2 $\times$ 3 + 6
12	= 12 $\checkmark$

Strategy 2 (more advanced)

2 $\times$ = 2 $\times$ 3 +

1 x = 6

$\therefore$
= 6

Question Type

Multiple Choice (One Answer)

Variables

Variable name	Variable value
question	![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) = 2 ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = (![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA1.svg) $\times$ 3 ) + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) What is the value of ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg)?
workedSolution	Strategy 1 Test each option: If ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 6, \| \| \| \| ---------------------: \| -------------- \| \| 2 $\times$ 6 \| \= 2 $\times$ 3 + 6 \| \| 12 \| \= 12 $\checkmark$ \| Strategy 2 (more advanced) 2 $\times$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 2 $\times$ 3 + ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) 1 x ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = 6 $\therefore$ ![](https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC08-SA.svg) = {{{correctAnswer}}}
correctAnswer	6

Answers

Is Correct?	Answer
x	1
x	2
x	3
✓	6
x	9

Algebra, NAPX-H4-NC08, NAPX-H3-NC15

Question

Worked Solution

Variant 0

DifficultyLevel

Question

Worked Solution

Question Type

Variables

Answers

Variant 1

DifficultyLevel

Question

Worked Solution

Question Type

Variables

Answers

Variant 2

DifficultyLevel

Question

Worked Solution

Question Type

Variables

Answers

Variant 3

DifficultyLevel

Question

Worked Solution

Question Type

Variables

Answers

Variant 4

DifficultyLevel

Question

Worked Solution

Question Type

Variables

Answers

Variant 5

DifficultyLevel

Question

Worked Solution

Question Type

Variables

Answers

Tags