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A linear equation in one variable has the variable raised only to which power?

Class 8Linear Equations in One VariableLinear Equations
  • AFirst power (degree 1)
  • BSecond power (degree 2)
  • CThird power (degree 3)
  • DZero power

Step-by-Step Solution

A linear equation has the variable only to the first power; no squared or higher terms appear.
Answer: A) First power (degree 1)

Key idea: The five-step recipe

For any linear equation in one variable, follow this order:

1. **Open brackets** if any (use distributive property).
2. **Clear fractions** by multiplying both sides by the LCM of all denominators.
3. **Move all variable terms to one side**, all constants to the other (transposition — flip signs).
4. **Combine like terms** on each side.
5. **Divide** both sides by the coefficient of the variable.

Then **verify** by substituting back into the original equation. Always.

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