Equationswith Brackets

Reminder

Application

Examples

Your Turn Equations with Brackets

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Reminder from Unit 1

Multiply out the brackets;

2(2x + 3)

= 4x + 6

5(3x + 2)

= 15x + 10

−2(4x − 3)

= −8x + 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Reminder from Unit 1

Multiply out the brackets;

2(2x + 3)

= 4x + 6

5(3x + 2)

= 15x + 10

−2(4x − 3)

= −8x + 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Reminder from Unit 1

Multiply out the brackets;

2(2x + 3)

= 4x + 6

5(3x + 2)

= 15x + 10

−2(4x − 3)

= −8x + 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Reminder from Unit 1

Multiply out the brackets;

2(2x + 3) = 4x + 6

5(3x + 2)

= 15x + 10

−2(4x − 3)

= −8x + 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Reminder from Unit 1

Multiply out the brackets;

2(2x + 3) = 4x + 6

5(3x + 2) = 15x + 10

−2(4x − 3)

= −8x + 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Reminder from Unit 1

Multiply out the brackets;

2(2x + 3) = 4x + 6

5(3x + 2) = 15x + 10

−2(4x − 3) = −8x + 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Applying this Technique

We can apply this technique to even more complex equations

Solve, 2(2x + 3) = x + 24

4x + 6 = x + 24 expand out first

3x + 6 = 24

3x = 18

x = 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Applying this Technique

We can apply this technique to even more complex equations

Solve, 2(2x + 3) = x + 24

4x + 6 = x + 24 expand out first

3x + 6 = 24

3x = 18

x = 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Applying this Technique

We can apply this technique to even more complex equations

Solve, 2(2x + 3) = x + 24

4x + 6 = x + 24 expand out first

3x + 6 = 24

3x = 18

x = 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Applying this Technique

We can apply this technique to even more complex equations

Solve, 2(2x + 3) = x + 24

4x + 6 = x + 24

expand out first

3x + 6 = 24

3x = 18

x = 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Applying this Technique

We can apply this technique to even more complex equations

Solve, 2(2x + 3) = x + 24

4x + 6 = x + 24 expand out first

3x + 6 = 24

3x = 18

x = 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Applying this Technique

We can apply this technique to even more complex equations

Solve, 2(2x + 3) = x + 24

4x + 6 = x + 24 expand out first

3x + 6 = 24

3x = 18

x = 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Applying this Technique

We can apply this technique to even more complex equations

Solve, 2(2x + 3) = x + 24

4x + 6 = x + 24 expand out first

3x + 6 = 24

3x = 18

x = 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Applying this Technique

We can apply this technique to even more complex equations

Solve, 2(2x + 3) = x + 24

4x + 6 = x + 24 expand out first

3x + 6 = 24

3x = 18

x = 6

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Another example

Solve, 5(3x + 2)− 2(4x − 3) = 2x + 36

15x + 10− 8x + 6 = 2x + 36 Watch for negatives!!

7x + 16 = 2x + 36

5x + 16 = 36

5x = 20

x = 4

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Another example

Solve, 5(3x + 2)− 2(4x − 3) = 2x + 36

15x + 10− 8x + 6 = 2x + 36

Watch for negatives!!

7x + 16 = 2x + 36

5x + 16 = 36

5x = 20

x = 4

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Another example

Solve, 5(3x + 2)− 2(4x − 3) = 2x + 36

15x + 10− 8x + 6 = 2x + 36 Watch for negatives!!

7x + 16 = 2x + 36

5x + 16 = 36

5x = 20

x = 4

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Another example

Solve, 5(3x + 2)− 2(4x − 3) = 2x + 36

15x + 10− 8x + 6 = 2x + 36 Watch for negatives!!

7x + 16 = 2x + 36

5x + 16 = 36

5x = 20

x = 4

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Another example

Solve, 5(3x + 2)− 2(4x − 3) = 2x + 36

15x + 10− 8x + 6 = 2x + 36 Watch for negatives!!

7x + 16 = 2x + 36

5x + 16 = 36

5x = 20

x = 4

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Another example

Solve, 5(3x + 2)− 2(4x − 3) = 2x + 36

15x + 10− 8x + 6 = 2x + 36 Watch for negatives!!

7x + 16 = 2x + 36

5x + 16 = 36

5x = 20

x = 4

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Another example

Solve, 5(3x + 2)− 2(4x − 3) = 2x + 36

15x + 10− 8x + 6 = 2x + 36 Watch for negatives!!

7x + 16 = 2x + 36

5x + 16 = 36

5x = 20

x = 4

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Examples

Solve the following equations by multiplying out the brackets

1 2(x + 5) = 16

2 3(x + 4) = 21

3 5(x − 6) = 15

4 4(x + 3) = 24

Equationswith Brackets

Reminder

Application

Examples

Your Turn

Your Turn

Page 174, Exercise 3Questions 2–3