The document discusses forming and solving equations from word problems. It provides examples of solving equations, forming equations from word problems about numbers, rectangles, triangles and shapes with equal areas. Students are asked to solve sample problems by writing the appropriate equations and solving for the unknown values.

2. Starter
Solve each of the equations below using the methods
you have been taught:
6x + 5 = 47 15 = 29 - x
8x + 4 = 5x + 22 7x - 5 = 10 – 3x

3. Forming and Solving Equations
• Today we will be using our knowledge of
equation solving to answer worded
problems
• Some worded problems can be simplified
by creating an equation for them
• It continues to be important to show
your workings clearly!

4. Forming and Solving Equations
I think of a number. I add 3 then divide it by 2.
My answer is 12. Form an equation and solve it
to find my number.

5. Forming and Solving Equations
The perimeter of the rectangle below is 42cm.
Calculate the lengths of the sides by forming an
equation and solving it.
x + 5
x - 2

6. Forming and Solving Equations
A triangle has 3 sides. One side can be labelled x. One of the other
sides is 8cm more than that and the final side is double the first
side. The perimeter of the triangle is 26cm.
Sketch the triangle and calculate the lengths of the sides.

7. Forming and Solving Equations
The Areas of the shapes below are equal. Calculate the lengths of
the sides.
2x - 3
5
4x + 2
2

8. Plenary

9. Summary
• We have recapped how to solve many
types of equation
• We have seen how to form equations
from worded questions
• We have also looked at an extended
question in the plenary