Practice Test Answers

Identify the horizontal and vertical asymptotes, if any, for the graph of f of x shown. Choose two correct answers.

Which expression is equivalent to the following complex fraction? the fraction with numerator the fraction with numerator x and denominator x minus 3 and denominator the fraction with numerator x squared and denominator x squared minus 9

What is the solution to the equation the fraction with numerator m and denominator m plus 4 plus the fraction with numerator 4 and denominator 4 minus m is equal to the fraction with numerator m squared and denominator m squared minus 16 ?

Naomi wants to take yoga classes. She can take classes at the high school for a one-time fee of 20 dollars plus 10 dollars per class. She can join the local gym for 50 dollars and take classes for 5 dollars per class. Which statement is true about the average cost for the two options?

What is the correct form of the partial fraction decomposition for the fraction with numerator 35 minus 27 x and denominator 4 x squared plus 28 x ?

For what values of A and m does f of x have a horizontal asymptote at y is equal to 2 and a vertical asymptote at x is equal to 1 ? f of x is equal to the fraction with numerator 2 x to the m th power and denominator x plus A

Which statement is true about the discontinuities of the function f of x ? f of x is equal to the fraction with numerator x squared minus 4 and denominator x cubed minus x squared minus 2 x

Question text not available

What is the quotient? the fraction with numerator 3 y plus 2 and denominator 3 y divided by the fraction with numerator 6 y squared plus 4 y and denominator 3 y plus 2

What is the product? the fraction with numerator 3 k and denominator k plus 1 times the fraction with numerator k squared minus 1 and denominator 3 k cubed

Riley makes a mistake in step 2 while doing her homework. What was her mistake? the fraction with numerator x and denominator x squared minus 5 x plus 6 plus the fraction with numerator 3 and denominator x plus 3 Riley's Work Step 1: the fraction with numerator x and denominator open paren x minus 2 close paren times open paren x minus 3 close paren plus the fraction with numerator 3 and denominator x plus 3 Step 2: the fraction with numerator x and denominator open paren x minus 2 close paren times open paren x plus 3 close paren plus the fraction with numerator 3 times open paren x minus 2 close paren and denominator open paren x minus 2 close paren times open paren x plus 3 close paren Step 3: the fraction with numerator x plus 3 x minus 6 and denominator open paren x minus 2 close paren times open paren x plus 3 close paren Step 4: the fraction with numerator 4 x minus 6 and denominator open paren x minus 2 close paren times open paren x plus 3 close paren

A basketball player’s free-throw percentage is the ratio of the number of successful shots made to the number of shots attempted. A basketball player has made 13 of the first 20 free throws she has attempted this season. Which rational expression can be used to find the free throw percentage for the season if she successfully makes her next x free-throw attempts?

Which solution to the equation the fraction with numerator 3 and denominator A plus 2 plus 2 over A is equal to the fraction with numerator 4 A minus 4 and denominator A squared minus 4 is extraneous?

For the inverse variation equation x y is equal to k , what is the constant of variation, k , when x is equal to negative 2 and y is equal to 5 ?

For the fraction with numerator 8 x to the 7th power plus 10 x to the 6th power plus 20 x to the 5th power plus 33 x to the 4th power plus 23 x cubed plus 37 x squared plus 9 x plus 4 and denominator open paren x plus 1 close paren squared times open paren x squared plus 1 close paren cubed , which expression represents the correct form of the partial fraction decomposition?

What are the vertical and horizontal asymptotes for the function f of x is equal to the fraction with numerator x squared plus x minus 6 and denominator x cubed minus 1 ?