1. 1. Rearrange the equation 2p + 1 = 11 to make p the subject.
what has happened to p?
inverse 2 p
+ 1 =
- 1 11 2

2. 2. Rearrange the equation uv + f = t to make v the subject.
what has happened to v?
inverse u v
+ f =
- f t u

3. y - 4x = + 4x 11 Wrong answers Gradient
3. Line L1 has equation y – 4x = 9, by rearranging the equation write down the gradient of the line L1
Wrong answers
There is a temptation to say that the gradient is -4 (as this is what is multiplying x) or -4x y
- 4x =
+ 4x 11
Gradient
We have rearranged the equation of the line from y – 4x = 9 to y = 9 + 4x , the gradient is therefore + 4 (as this is what is multiplying x)

4. y - 6x = + 6x 12 Wrong answers Gradient
4. Line L2 has equation y – 6x = 12, by rearranging the equation write down the gradient of the line L2
Wrong answers
There is a temptation to say that the gradient is -6 (as this is what is multiplying x) or -6x y
- 6x =
+ 6x 12
Gradient
We have rearranged the equation of the line from y – 6x = 12 to y = x , the gradient is therefore + 6 (as this is what is multiplying x)

5. 2 y - 6x = + 6x 12 2 y = 6 + 3x Wrong answers Gradient
5 (b) By rearranging the equation 2y – 6x = 12 to make y the subject write down the gradient of the line 2y – 6x = 12
There is a temptation to say that the gradient is (as this is what is multiplying x), -6x or + 6 (taking -6x across the equals).
Wrong answers 2 y
- 6x =
+ 6x 12 2
Gradient
If we divide the top of the fraction by two we get: y = 6
+ 3x
The gradient of the line is 3, as this is multiplying x.

6. y = 6 + 3x y = m x + c 6 rearranged equation general equation gradient
5 (c) A student looks at the equation 2y – 6x = 12 and writes down the y-intercept as equal to 12. Explain whether the student is correct or not.
rearranged equation y = 6
+ 3x
general equation y = m x + c
gradient
y-intercept = 6

7. 1 x 2 x 2 x2 1 x 5 5 x 5 2 x 10 x 25 Collect like terms
6. Multiply out the brackets and collect like terms 1 x 2 x 2 x2 1 x 5 5 x 5 2 x 10 x
Collect like terms 25
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8. + + + + + Collect like terms
6. Multiply out the brackets and collect like terms + + +
Collect like terms + +
Will have to press more than once

9. 2 x 3 x 6 x2 2 x 4 8 x 3 3 x 9 x 12 Collect like terms
6. Multiply out the brackets and collect like terms 2 x 3 x 6 x2 2 x 4 8 x 3 3 x 9 x
Collect like terms 12
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10. + + + + + Collect like terms
6. Multiply out the brackets and collect like terms + + +
Collect like terms + +
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11. 3 x 2 x 6 x2 3 x -1 -3 x 1 2 x 2 x -1 Collect like terms
6. Multiply out the brackets and collect like terms 3 x 2 x 6 x2 3 x -1 -3 x 1 2 x 2 x
Collect like terms -1
Will have to press more than once

12. + + + + + Collect like terms
6. Multiply out the brackets and collect like terms + + +
Collect like terms + +
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13. 1 x 1 x 1 x2 1 x -1 -1 x 2 1 x 2 x -2 Collect like terms
6. Multiply out the brackets and collect like terms 1 x 1 x 1 x2 1 x -1 -1 x 2 1 x 2 x
Collect like terms -2
Will have to press more than once

14. Collect like terms + + + + +
6. Multiply out the brackets and collect like terms + + +
Collect like terms + +
Will have to press more than once

15. 1 x 1 x 1 x2 1 x y 1 xy y 1 x 1 xy y2 Collect like terms
6. Multiply out the brackets and collect like terms 1 x 1 x 1 x2 1 x y 1 xy y 1 x 1 xy
Collect like terms y2
Will have to press more than once

16. + + + + + Collect like terms
6. Multiply out the brackets and collect like terms + + +
Collect like terms + +
Will have to press more than once