4
QuizMultiple Choice
Rational Equations
Question 4 of 10 • KISD SS-3391B-Algebra II Honors B
A student solves the following equation for all possible values of x:His solution is as follows: Step 1: 8(x – 4) = 2(x + 2)Step 2: 4(x – 4) = (x + 2)Step 3: 4x – 16 = x + 2Step 4: 3x = 18Step 5: x = 6He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0.Which best describes the reasonableness of the student’s solution?
Answer
A
His solution for x is correct and his explanation of the extraneous solution is reasonable.B
His solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x.C
His solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.D
His solution for x is incorrect. When solved correctly, there are no extraneous solutions.