AS Mathematics

1
AS Mathematics

• Algebra Linear equations

2
Objective

• Be able to solve a linear equation in one unknown
• Be confident in the use of brackets when solving
  linear equations

3
Solving equations - linear
Example 1
Example 2
Solve x - 4 4 3
Solve 4 3x 2
4 2 3x
x 4 7
2 3x
x 28
x 2/3
Have you checked your answer?
4
Example 3
Solve 5 3(x 1) 2(x 3)
5 3x - 3 2x 6
2 3x 2x 6
2 x 6
x 4
Have you checked your answer?
5
Example 4
Solve x 5 2 3x 11 5
10(x 5) 2 10(3x 11) 5
5(x 5) 2(3x 11)
5x 25 6x 22
Have you checked your answer?
25 x 22
3 x
6
Example 5
Solve x 2 3 6 4x 5
30(x 2) 3(30) 6 4(30)x 5
Have you checked your answer?
5(x 2) 90 24x
5x 10 90 24x
5x 100 24x
100 19x
x 100 19