Word problems
Japanese school year: Junior high 1
What you learn
You will learn how to identify unknown quantities in word problems, set up linear equations, and verify the resulting solutions. This technique is applied to solve everyday problems involving costs, travel speeds, and quantities. Prior confidence in solving various linear equations is essential before tackling these problems.
Key points
When solving word problems, represent the unknown quantity with the variable , and express related quantities using . Stating clearly what represents helps you set up the equation and verify the answer.
Set up an equation by identifying quantities that are equal, such as totals or differences. Make sure that all units of measurement, like centimeters, are consistent before writing the equation.
Check whether the solution to the equation fits the actual conditions of the problem. Ensure that counts of people are not fractions and that lengths or prices are not negative.
Choose a set to practice.