Practice Exam

Question 1

In the triangle, angle cap b measures 60 degrees and BC is 18 What is the length of AC ? Expand Image

Revolt · Accepted Answer

9 square root of 3

Question 2

Given the function f of x is equal to negative 5 start absolute value x plus 1 end absolute value plus 3 , for what values of x is f of x is equal to negative 12 ?

Revolt · Accepted Answer

x is equal to 2 , x is equal to negative 4

Question 3

An international calling plan charges 45 cents per minute or fraction of a minute for each call. Which graph models the cost, y , in cents of making x minutes of international calls?

Revolt · Accepted Answer

Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 450 in increments of 45. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with an open circle and ends at (1 comma 45) with a closed circle. Each step goes from left to right. The last step has an open circle at (9 comma 450) and a closed circle at (10 comma 450).

Question 4

For the inverse variation equation p is equal to 8 over cap v , what is the value of p when cap v is equal to 1 fourth ?

Revolt · Accepted Answer

32

Question 5

Which is a factor of f of x is equal to 60 x to the 4th power plus 86 x cubed minus 46 x squared minus 43 x plus 8 ? Use the Rational Root Theorem to help you find your answer.

Revolt · Accepted Answer

6 x minus 1

Question 6

The table shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it. Flow rate, x (gal/hr) Time, y (hours) 60 300 45 400 36 500 30 600 How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?

Revolt · Accepted Answer

180 hours; 150 hours

Question 7

Which is the graph of the function y is equal to 2 tangent open paren x plus 3 pi over 4 close paren ?

Revolt · Accepted Answer

Image with description On a coordinate plane, the x axis ranges from negative pi to pi with an interval of pi by 4 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 4. The curve crosses the x axis at (pi by 2 comma 0) and (negative 3 pi by 4 comma 0). The y-intercept is at (0 comma negative 2).

Question 8

Consider the graphs of j times x is equal to 7 sine open paren 6 x minus pi over 2 close paren plus 11 and k times x is equal to 7 sine open paren 6 x minus pi over 2 close paren minus 11 Which feature of the graph of k times x is different from the graph of j times x ?

Revolt · Accepted Answer

the vertical shift

Question 9

For which value of theta is cotangent of theta undefined?

Revolt · Accepted Answer

180 degrees

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