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Which form defines a linear equation in one variable?
Aax + b = 0 with a equal to 0
Bax squared + b = 0 with a not zero
Ca over x + b = 0 with a not zero
Dax + b = 0 with a not zero
Answer & Solution
Correct answer: D. ax + b = 0 with a not zero
1. A linear equation holds one variable raised only to the first power.
2. It can always be rearranged into ax + b = 0 with real numbers a and b.
3. The coefficient a must not be zero, or the variable disappears entirely.
4. A squared term would make it quadratic instead, so that form is ruled out.
_Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.1 Use a General Strategy to Solve Linear Equations_
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