# Combining algebraic relationships

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## Lesson details

### Key learning points

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

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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.

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

### 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.

added

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.

added

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.

added

multiplied

subtracted

Q5.

If 𝑥 + 𝑦 = 100, then what is the value of 2𝑥 + 2𝑦 - 20?

160

200

220