Algebra II 5.09: Solve Rational Equations

Rueben wrote this solution to solve for x. Which statement is true?

−4 is an extraneous solution because it creates a zero in the denominator.

What is the solution to the equation x+7/2 = 5x/3 ? Enter your answer in the box.

3

Heather wrote this solution to solve for x. Which statement is true?

5 is an extraneous solution because it creates a 0 in the denominator.

What is the solution to the equation 2n/3 = n+14/5 ? Enter your answer in the box.

6

Jack wrote this solution to solve for x. Which statement is true?

6 is an extraneous solution because it creates a zero in the denominator.

What is the solution to the equation 3c/8 = c+4/4 ? Enter your answer in the box.

8

What is the solution set of the equation x+3/x+2 = 3+1/x? Note: x≠0, −2

-1

What is the solution to the equation? 9/−3x = 12/x+10 Enter your answer in the box.

-2

What is the solution to the equation? 21/−4h = 14/11+h

-3

What is the solution to the equation? 10/y+11 = 25/−3y Enter your answer in the box.

-5

What is the solution set of the equation 2z+6/z+2 = 3 −(1/z) ? Note: z≠0,

{−1, 2}

What is the solution set of the equation j+4/j+2 = 2−1/j ? Note: j≠0,−2

{−1, 2}

What is the solution set of the equation 6/m + 2 = m+3/m−1 ? Note: m≠{0,1}

{−3, 2}

What is the solution set of the equation 8/x+2 = x+4/x−6 ? Note: x≠{0,6}

{−4, 12}

What is the solution set of the equation (8/q)+2 = q+4/q−1 ? Note: q≠{0,1}

{−4, 2}