Checking and securing understanding of plotting coordinates generated from a rule | Maths

Starter quiz

Which of these words describes the sequence $11,15,19,23, ...$ ?
- linear ✓
- quadratic
- arithmetic ✓
- geometric
- counting
What are the first three terms of the arithmetic sequence $10n−2$ ?
- $8,6,4$
- $10,8,6$
- $8,18,28$ ✓
- $12,22,32$
- $−2,8,18$
Match the verbal description to the $n^{\text{th}}$ term expression.
- $3n$
  
  ⇔
  
  Multiply $n$ by $3$ ✓
- $3n+5$
  
  ⇔
  
  Multiply $n$ by $3$ and add $5$ ✓
- $5n+3$
  
  ⇔
  
  Multiply $n$ by $5$ and add $3$ ✓
- $5(n+3)$
  
  ⇔
  
  Add $3$ to $n$ and then multiply $5$ . ✓
- $n+3$
  
  ⇔
  
  Add $3$ to $n$ ✓
Match the point to its coordinate pair.
- A
  
  ⇔
  
  $(2, 4)$ ✓
- B
  
  ⇔
  
  $(3, 3)$ ✓
- C
  
  ⇔
  
  $(4, 2)$ ✓
- D
  
  ⇔
  
  $(5, 1)$ ✓
Which of these coordinates fits the rule $y=7−2x$ ?
- $(0, 7)$ ✓
- $(7, 2)$
- $(7, 0)$
- $(1, 5)$ ✓
- $(2, 7)$
Which rule links $n$ to $T$ in this arithmetic sequence?
- $4n$
- $n+4$
- $1+4n$
- $4n−3$ ✓
- $n\times4 + 1$

This table of values tells us the ______ to plot the relationship $y=3x+4$ .
- 'coordinates' ✓
What is wrong with this plotting of the arithmetic sequence $2n−1$ ?
- The coordinates are wrong.
- The line should extend to the edges of the grid.
- There shouldn't be a line through the points. ✓
- The points should not line up.
- You need more than $5$ term numbers.
Which of these arithmetic sequences could this graph represent?
- $17−5n$ ✓
- $5n−17$
- $n−17$
- $5−n$
- $5−17n$
What are the two missing $y$ coordinate values for this linear rule?
- $−1$ ✓
- $−4$
- $−5$
- $−6$ ✓
- $−9$
This is a table of values for a linear rule but there is an error. Which value is the error?
- $y=26$
- $y=19$
- $y=5$
- $y=−3$ ✓
- $y=−16$
For the linear rule $y=13−2x$ what is the $y$ coordinate when $x=−5$ ?
- $23$ ✓
- $18$
- $11$
- $8$
- $3$

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The plotted points of an arithmetic sequence form a line so we draw a line connecting them.

Sequences are an ordered list and do not always need to follow a rule, so we often only find and use the positive integer term numbers.

Arithmetic (linear) sequence - A sequence where the difference between successive terms is a constant.