5
QuizMultiple Choice

Solving Linear Equations: Distributive Property — Quiz

Question 5 • Transition Mathematics for Seniors

Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution?

Answer
A
The equation has no solution.
B
The equation has one solution: x is equal to 1 .
C
The equation has infinite solutions.
D
The equation has one solution: x is equal to 0 .

Explanation

If solving the equation leads to the same variable expression on both sides, the equation is true for every value of the variable. That means every value is a solution, so the equation has infinitely many solutions. The best interpretation is “The equation has infinite solutions.”

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