3
QuizMultiple Choice

Solving One-Variable Inequalities — Unit test

Question 3 • AZ-Algebra 1A (MA101)

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

Answer
A
The equation has one solution: x = 0.
B
The equation has one solution: x = 8.
C
The equation has no solution.
D
The equation has infinite solutions.

Explanation

Lily’s simplified equation is 3x − 4 = 3x + 4. Subtracting 3x from both sides gives −4 = 4, which is impossible, so there is no value of x that satisfies the equation. The correct choice is “The equation has no solution.”

AI-written and checked against the verified answer.

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