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 TT and NN is

Worked Solution

TT increases by 6 each shape.

Consider  T=6N−4T = 6N - 4 :

When  N=1\ N=1,  T=6×1 − 4=2T=6×1\ −\ 4=2

When  N=2\ N = 2,  T=6×2 − 4=8T = 6×2\ −\ 4 = 8

When  N=3\ N=3,  T=6×3 − 4=14T=6×3\ −\ 4 = 14

∴\therefore {{{correctAnswer}}}  is correct

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 TT and NN is

Worked Solution

TT increases by 6 each shape.

Consider  T=6N−4T = 6N - 4 :

When  N=1\ N=1,  T=6×1 − 4=2T=6×1\ −\ 4=2

When  N=2\ N = 2,  T=6×2 − 4=8T = 6×2\ −\ 4 = 8

When  N=3\ N=3,  T=6×3 − 4=14T=6×3\ −\ 4 = 14

∴\therefore T=6N − 4T=6N\ −\ 4  is correct

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
correctAnswer
$T=6N\ −\ 4$

Answers

Is Correct?Answer
x

T=N+1T=N+1

x

T=6NT=6N

x

T=6N+2T=6N+2

✓

T=6N − 4T=6N\ −\ 4

Tags