# Linear relationships

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## Lesson details

### Key learning points

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

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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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

x - 1 = 1

Q3.

Which equation is equivalent to 4x - 2 = 8?

2x - 1 = 2

4x - 3 = 10

x - 1 = 2

Q4.

Which equation is equivalent to 3x - 2.5 = 5?

2x - 1.5 = 4.5

6x - 4 = 10

6x - 6 = 10

Q5.

If 9 - 2x = 4, what is 7 - 2x?

3

4

6

### 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?

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?

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

n + 17

Q5.

Which sequence is formed as a result of subtracting "4, 9, 14, 19, ..." from "12, 8, 4, 0, ..."?

-9n - 17

9n - 17

9n + 17