Applications of linear equations

Choose quantities and units, form a linear equation, and check the solution in context.

Meaning

Assign a letter to an unknown quantity and equate two expressions for the same amount. A computed solution must also satisfy the units and real-world conditions.

Example

An entry fee of 2,000 won plus 3,000 won per activity costs 14,000 won in total: Since there are four activities.The entry fee is fixed and the same 3,000 won activity fee is added x times. Subtract entry from the total, then divide the remaining 12,000 by the fee per activity to obtain 4. Check 2,000+3,000×4=14,000 won.Define the variable first. If a count of activities or people is negative or nonintegral, check the context's conditions.

Practice for this concept

Scope and references

Topics

Modeling numbers, ages, distance–speed–time, concentration, and prices

Learning goal

Choose quantities and units, form a linear equation, and check the solution in context.

Helpful background

Define the unknown and its unit, then check the linear-equation solution.

Linear equation applications

These ordinary choice questions provide limited practice in this concept. They do not establish independent solution, full-concept performance, or mastery.

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