# Forming and exploring equations

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## Lesson details

### Key learning points

- In this lesson, we will learn the concept of an equation and use models to form equations.

### 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.

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### 5 Questions

Q1.

Fill in the blanks: We can factorise a number or expression by writing it as a ____ of two or more _____.

product, multiples

sum, factors

sum, multiples

Q2.

Fill in the blanks: a + 2 + a + 2 = _____ + _____ = 2(_____ + _____ )

2a, 4, a, 4

a, 4, a, 2

a, 4, a, 4

Q3.

Factorise 12x + 3.

12(x + 4)

2(6x + 1.5)

3(x + 1)

Q4.

Factorise 2y − 10.

1(2y - 10)

10(5y - 1)

2(y - 10)

Q5.

Factorise −6p + 15m

-3(2p + 5m)

3(-3p + 5m)

6(-p + 3m)

### 5 Questions

Q1.

Fill in the gaps: An equation is a way to express an ______.

Addition

Algebraic quantity

Expression

Q2.

Use the equation r = 2w to find the value of r when w = 3.

r = 2

r = 5

r = 9

Q3.

Use the equation p = 4w to find the value of w when p = 16.

w = 12

w = 64

w = 8

Q4.

Given that r = 2w, fill in the gaps: r + r = ___ + 2w.

2r

4w

w

Q5.

Given that r = 2w and p = 4w, fill in the blanks: r + p = __w.

2

4

8