Algebra, NAPX-p109338v02

Question

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Worked Solution

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Variant 0

DifficultyLevel

574

Question

The table shown below represents a rule of changing each into a .


Which rule is used?

Worked Solution

Consider option 1:

5×4 − 1=195 \times 4\ −\ 1 = 19 ✓\checkmark

7×4 − 1=277 \times 4\ −\ 1 = 27 ✓\checkmark

9×4 − 1=359 \times 4\ −\ 1 = 35 ✓\checkmark

= × 4 −1\times \ 4 \ - 1

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The table shown below represents a rule of changing each ![](https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_Q54-i.svg) into a ![](https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_Q54-ii.svg).

>>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_Q54.svg 230 indent vpad Which rule is used?
workedSolution
Consider option 1: $5 \times 4\ −\ 1 = 19$ $\checkmark$ $7 \times 4\ −\ 1 = 27$ $\checkmark$ $9 \times 4\ −\ 1 = 35$ $\checkmark$ {{{correctAnswer}}}
correctAnswer
![](https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_Q54-ii.svg) = ![](https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_Q54-i.svg) $\times \ 4 \ - 1$

Answers

Is Correct?Answer
✓

= × 4 −1\times \ 4 \ - 1

x

= × 2 −2\times \ 2 \ - 2

x

= × 3 −2\times \ 3 \ - 2

x

= × 5 −6\times \ 5 \ - 6

Variant 1

DifficultyLevel

574

Question

The table below shows the results of a rule that changes each into a .


Which rule is used?

Worked Solution

Consider option 1:

2×4 − 4=42 \times 4\ −\ 4 = 4 ✓\checkmark

4×4 − 4=124 \times 4\ −\ 4 = 12 x


Consider option 2:

2×2 − 2=42 \times 2\ −\ 2 = 4 x


Consider option 3:

2×3 − 2=42 \times 3\ −\ 2 = 4 ✓\checkmark

4×3 − 2=104 \times 3\ −\ 2 = 10 ✓\checkmark

6×3 − 2=166 \times 3\ −\ 2 = 16 ✓\checkmark


= × 3 − 2\times \ 3 \ − \ 2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
The table below shows the results of a rule that changes each into a .

>>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10_Q53.svg 240 indent vpad Which rule is used?
workedSolution
Consider option 1: $2 \times 4\ −\ 4 = 4$ $\checkmark$ $4 \times 4\ −\ 4 = 12$ x
Consider option 2: $2 \times 2\ −\ 2 = 4$ x
Consider option 3: $2 \times 3\ −\ 2 = 4$ $\checkmark$ $4 \times 3\ −\ 2 = 10$ $\checkmark$ $6 \times 3\ −\ 2 = 16$ $\checkmark$
{{{correctAnswer}}}
correctAnswer
= $\times \ 3 \ − \ 2$

Answers

Is Correct?Answer
x

= × 4 − 4\times \ 4 \ − \ 4

x

= × 2 − 2\times \ 2 \ − \ 2

✓

= × 3 − 2\times \ 3 \ − \ 2

x

= × 5 − 6\times \ 5 \ − \ 6

Tags