4
QuizMultiple Choice

Solving Two-Step Equations — Quiz

Question 4 • Grade 7 Mathematics

Which equation, when solved, results in a different value of x than the other three?

Answer
A
negative 7 eighths open paren negative 8 sevenths close paren x minus 3 fourths is equal to 20 times open paren negative 8 sevenths close paren
B
negative 7 eighths x minus 3 fourths is equal to 20
C
3 fourths plus 7 eighths x is equal to negative 20
D
negative 7 1 eighth x minus 3 fourths is equal to 20

Explanation

As written, the choices do not have a single equation with a different solution. In B and C, solving gives x = −166/7. In A, the coefficient −7/8 × (−8/7) becomes 1, so x − 3/4 = −160/7 and x = −619/28. In D, interpreting −7 1/8 as the mixed number −57/8 gives x = −166/57. Thus both A and D differ from B and C.

AI-written and checked against the verified answer.

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