The graph of $f(x)=(x^2-7x+6)/(x-1)$ has one hole. At which point is it?

Simplify (1/x + 1/7)/(2/x) to lowest terms.

Add $5/(x^2-8x+15)+5/(x-5)$ and write the result with the denominator in factored form.

Simplify $(x^2+8x+15)/(x^2+x-20)$ to lowest terms and state the values x cannot take.

Simplify (1/x + 1/3)/(7/x) to lowest terms.

The graph of y = 1/x is shifted 1 unit right and 5 units down. What is the equation of the image?

Simplify $(8/x)/(12/x^2)$ to lowest terms.

A student simplifies $(x^2-3x-4)/(x^2-7x+12)$ to (x + 1)/(x - 3) and reports that x = 3 is the only restriction. Which restriction did the student lose?

What is the equation of the horizontal asymptote of $f(x)=(9x^2+9)/(4x^2+x-3)$?

At what point does the graph of f(x) = (x - 6)/(x + 3) cross the x-axis?

What is the least common denominator of $2/(x^2-49)$ and $7/(x^2+14x+49)$?

The quantity y varies inversely as x, and y = 6 when x = 10. What is y when x = 12?

Subtract 7/(x + 2) - 5/(x + 5) and write the result with the denominator in factored form.

To solve 1/(x + 1) + 3/x = 5, every term is multiplied by the least common denominator. What is it?

For f(x) = (x + 1)/((x + 1)(x - 2)), what are the equations of the vertical asymptotes?

Simplify $(x^2-25)/(x^2+x-30)$ to lowest terms and state the values x cannot take.

Solve (8x)/(x - 4) = 32/(x - 4) + x. Give the solution set, rejecting any candidate that makes a denominator zero.

Subtract 3/(x + 1) - 2/(x - 3) and write the result with the denominator in factored form.

The graph of y = 1/x is shifted 4 units right and 1 unit up. What is the equation of the image?

One press prints a run of posters in 6 hours. With a second press running at the same time the job is done in 3 hours. Working alone, how long would the second press take?

The quantity y varies directly as x, and y = 9 when x = 2. What is y when x = 12?

At what point does the graph of f(x) = (x - 3)/(x - 1) cross the x-axis?

Clearing denominators in x/(x + 1) = -1/(x + 1) + 5 gives the candidate x = -1. Which statement about x = -1 is correct?

Divide $((x^2-9)/(x+4))/((x-3)/(x^2-16))$ and write the result in lowest terms as a product of binomials.

The measurement y varies inversely as the cube of x. Which equation states this relationship, with k as the constant of variation?

To simplify ((x + 1)/(x + 5)) / ((x + 6)/(x - 5)), what is the correct first step?

Simplify $(5/x)/(6/x^2)$ to lowest terms.

Simplify $(3/x)/(9/x^2)$ to lowest terms.

For the quotient ((x - 6)/(x + 1)) / ((x - 4)/(x + 3)), which values must x avoid?

Solve 6/x + 1/6 = 9/x. Give the solution set, rejecting any candidate that makes a denominator zero.

A student simplifies $(x^2+3x-18)/(x^2+10x+24)$ to (x - 3)/(x + 4) and reports that x = -4 is the only restriction. Which restriction did the student lose?

Simplify $(7/x)/(12/x^2)$ to lowest terms.

Solve 2/(x + 1) = 3/(x + 4). Give the solution set, rejecting any candidate that makes a denominator zero.

The quantity y varies inversely as x, and y = 30 when x = 4. What is y when x = 12?

Solve 4/x + 1/2 = 9/x. Give the solution set, rejecting any candidate that makes a denominator zero.

The graph of $f(x)=(x^2-5x+6)/(x-3)$ has one hole. At which point is it?

For f(x) = (x + 3)/((x + 3)(x - 4)), what are the equations of the vertical asymptotes?

The quantity y varies inversely as x, and y = 12 when x = 10. What is y when x = 12?

Simplify $(-2-x)/(x^2-3x-10)$ to lowest terms and state the values x cannot take.

For the quotient ((x - 1)/(x - 2)) / ((x + 2)/(x - 5)), which values must x avoid?