# Combining algebraic relationships

## Lesson details

### Key learning points

1. In this lesson, we will learn to use equivalence to combine algebraic relationships.

### Licence

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.

## Video

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## Worksheet

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## Starter 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
Correct answer: 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
Correct answer: -9n + 17
9n - 17
9n + 17

## Exit quiz

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### 5 Questions

Q1.
Look at the picture below and then fill in the gap: If the same expression is __________ to two equal quantities, then the two resulting expressions will be equal.
divided
multiplied
subtracted
Q2.
Look at the picture below and then fill in the gap: If the same expression is ___________ from two equal quantities, then the two resulting expressions will be equal.
divided
multiplied
Q3.
Look at the picture below and then fill in the gap: If two equal expressions are both _____________ by the same quantity, then the two resulting expressions will be equal.
divided
subtracted
Q4.
Look at the picture below and then fill in the gap: If two equal expressions are both __________ by the same quantity, then the two resulting expressions will be equal.
multiplied
subtracted
Q5.
If 𝑥 + 𝑦 = 100, then what is the value of 2𝑥 + 2𝑦 - 20?
160