Equations with Brackets · Equations with Brackets Reminder Application Examples Your Turn Reminder...
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Equations with Brackets Reminder Application Examples Your Turn Equations with Brackets
Transcript of Equations with Brackets · Equations with Brackets Reminder Application Examples Your Turn Reminder...
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
