The document discusses solving equations in one step. It provides examples of equations where the operator is addition, subtraction, multiplication or division, and shows that to solve for x, the inverse operation must be performed. For instance, if x is added by a number, that number must be subtracted. The document emphasizes understanding and writing down the step taken to solve each equation.

2. Solving Equations in 1 step
• Today we will look at working out what a
missing number in an equation is
• We will see how to do this in one step
• It is essential that you understand the
process involved in solving an equation…

3. Solving Equations in 1 step
x + 7 = 18
x = 11
Subtract 7
 We started out with x,
then added 7
 So we must take away 7 to
work out the value of x

4. Solving Equations in 1 step
x - 5 = 4
x = 9
Add 5
 We started out with x,
then subtracted 5
 So we must add 5 to work
out the value of x

5. Solving Equations in 1 step
x - 9 = 6
x = 15
Add 9
 We started out with x,
then subtracted 9
 So we must add 9 to work
out the value of x

6. Solving Equations in 1 step
x + 12 = 23
x = 11
Subtract 12
 We started out with x,
then added 12
 So we must subtract 12 to
work out the value of x

7. Solving Equations in 1 step
3x = 12
x = 4
Divide by 3
 We started out with x,
then multiplied by 3
 So we must divide by 3 to
work out the value of x

8. Solving Equations in 1 step
x
8
= 2
x = 16
Multiply by 8
 We started out with x,
then divided by 8
 So we must multiply by 8
to work out the value of x

9. Solving Equations in 1 step
7x = 21
x = 3
Divide by 7
 We started out with x,
then multiplied by 7
 So we must divide by 7 to
work out the value of x

10. Solving Equations in 1 step
x
3
= 5
x = 15
Multiply by 3
 We started out with x,
then divided by 3
 So we must multiply by 3
to work out the value of x

11. Solving Equations in 1 step
Work out the value of x in each of the following equations. It is essential
that you write down the step you do to solve it (like we have just done)
a) x – 7 = 18 b) x + 4 = 21 c) x – 11 = 13
d) 6x = 12 e) 3x = 33 f) = 6
g) = 7 h) x – 12 = 15 i) x + 18 = 43
j) 8x = 96 k) = 15 l) 5x + 8 = 28
x
4
x
9
x
16
x = 25 x = 17 x = 24
x = 2 x = 11 x = 54
x = 28 x = 27 x = 25
x = 12 x = 240 x = 4

12. Summary
• We have looked at solving equations in
one step
• Although sometimes you can do it in
your head, we have looked at what the
actual ‘step’ is
• This will be essential when we move onto
2 step equations