Algebra, NAPX-F4-NC21
Question
Pepper uses matchsticks to make a pattern of shapes, as shown in the table below.
The equation used to show the relationship between T and N is
Worked Solution
T increases by 6 each shape.
Consider T=6N−4 :
When N=1, T=6×1 − 4=2
When N=2, T=6×2 − 4=8
When N=3, T=6×3 − 4=14
∴ {{{correctAnswer}}} is correct
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
Variant 0
DifficultyLevel
637
Question
Pepper uses matchsticks to make a pattern of shapes, as shown in the table below.
The equation used to show the relationship between T and N is
Worked Solution
T increases by 6 each shape.
Consider T=6N−4 :
When N=1, T=6×1 − 4=2
When N=2, T=6×2 − 4=8
When N=3, T=6×3 − 4=14
∴ T=6N − 4 is correct
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| correctAnswer | |
Answers
| Is Correct? | Answer |
| x | |
| x | |
| x | |
| ✓ | T=6N − 4 |