# Linear relationships

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## Lesson details

### Key learning points

1. In this lesson, we will learn how to use relationships between linear sequences to find new sequences.

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## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
What must an equation have?
An x
Integers
Numbers
Q2.
Which equation is equivalent to 3x - 2 = 4?
3x - 1 = 2
6x - 2 = 4
Correct answer: 6x - 4 = 8
x - 1 = 1
Q3.
Which equation is equivalent to 4x - 2 = 8?
2x - 1 = 2
Correct answer: 2x - 1 = 4
4x - 3 = 10
x - 1 = 2
Q4.
Which equation is equivalent to 3x - 2.5 = 5?
2x - 1.5 = 4.5
Correct answer: 3x - 2 = 5.5
6x - 4 = 10
6x - 6 = 10
Q5.
If 9 - 2x = 4, what is 7 - 2x?
3
4
6

## Exit quiz

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### 5 Questions

Q1.
Fill in the gaps: The "n" in the nth term represents the ____.
Coefficient
Difference
nth term rule
Q2.
Which sequence is formed as a result of adding -3n + 11 and 2n + 1 together?
Correct answer: 11, 10, 9, 8, ...
11, 12, 13, 14, ...
13, 7, 1, 0, ...
5, 0, -5, -10, ...
Q3.
Which sequence is formed as a result of subtracting 2n + 11 from -3n + 11?
Correct answer: -5, -10, -15, -20, ...
11, 10, 9, 8, ...
11, 12, 13, 14, ...
13, 7, 1, 0, ...
Q4.
Which sequence is formed as a result of adding "4, 9, 14, 19, ..." and "12, 8, 4, 0, ..." together?
-n - 17
-n + 15