**Solving Equations**

Starter

I think of a number. I times it by 4 and add 1.

The answer is the same as if I had times it by 2 and add 5.

What number was I thinking of?

Can you do this without trial and improvement?

Equations

I think of a number. I times it by 4 and add 1.

The answer is the same as if I had times it by 2 and add 5.

What number was I thinking of?

Three types

Simple: 6x - 4 = 1

Brackets: 6(x - 4) = 1

Unknowns

on both

sides

**L.O. - To solve any linear equation (Level 5/6).**

4x + 1 = 2x + 5

: 6(x - 4) = 4x - 6

Examples

7x - 2 = 19

7(x - 2) = 19

7(x - 2) = 7 - 2x

Main Activity

Red: Mixed equations to solve (3 first type, 3

second type, 3 third type)

Amber: More complicated equations.

Green: Form and solve equations.

Red:

q = -1 x = 4 x = 5

a = 4 x = 10 x = 7

e = -20 p = -3 x = 1

Amber

x = 1

x = 1

x = -1/2

x = 5 3/4

x = 1 1/10

x = 2 3/4

Green

10p + 6 = 6p + 22

p = 4 so perimeter = 46

First bed = 9 by 14.

Second bed = 11 by 12

y=-1/2 so length = 5.

x = 20 gives angles of 55, 55, 70.

Find the value of the ?

Find the value of the ?

w = 14

x = 6

y = 17

v = 9

z = 12

? = 52

Starter

I think of a number. I times it by 4 and add 1.

The answer is the same as if I had times it by 2 and add 5.

What number was I thinking of?

2

Can you do this without trial and improvement?

Yes, if you know how.

1

4x

2x

5

Equations

I think of a number. I times it by 4 and add 1.

The answer is the same as if I had times it by 2 and add 5.

What number was I thinking of?

4x + 1 = 2x + 5

2x = 4

x = 2

1

4x

2x

5

2x

4

x

x

2

2

Three types

Simple: 6x - 4 = 1

6x = 5 x =

Brackets: 6(x - 4) = 1

6x - 24 = 1 6x = 25

x = 4

Unknowns

on both

sides

6x - 24 = 4x - 6 2x = 18 x = 9

: 6(x - 4) = 4x - 6

6x

4

1

5

6

6x

24

1

1

6

6x

24

4x

6

2x

18

Examples

7x - 2 = 19

7x = 21 x = 3

7(x - 2) = 19

7x - 14 = 19

7x = 33 x = 4

7(x - 2) = 7 - 2x

7x - 14 = 7 - 2x

9x = 21 x = 2

7x

2

19

7x

19

14

5

7

7x

14

7

2x

1

3

**Activity**

Answers

Answers

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