Solving simple equations involving addition and subtraction
Group Activity 3
To solve the equation x + 5 = 9
In groups of five:
- Put 5 bottle tops on one scale of a beam balance. Put 9 bottle tops on the other scale.
- Put a bottle top one after the other on the scale with 5 bottle tops until the two sides balance.
- Count the number of bottle tops added to the scale which had 5 bottle tops.
- Discuss the results and share with other groups.
- Count the number of bottle tops added to the scale which had 5 bottle tops.
Note
- The number of bottle tops added is the unknown quantity in the equation.
x + 5 = 9
- Finding the unknown in an equation is solving the equation.
Example 5a. Equation with sum
Solve the equation x + 6 = 10
- x + 6 = 10
- x + 6 – 6 = 10 – 6
Subtract 6 from both sides - x = 4
Example 5b. Equation with difference
Solve the equation y – 7 = 4
- y – 7 = 4
- y – 7 + 7 = 4 + 7
Add 7 to both sides - y = 11