Question 1

A web music store offers two versions of a song: the standard version is 2.6 MB and the high-quality version is 4.8 MB. Yesterday, there were 1010 downloads for a total download size of 4210 MB. How many downloads were of the standard version?

Accepted Answer

$$290$$

Question 2

A college charges a reservation fee of $$34 and an additional 6.40 $$per hour to rent a meeting room. If the film club wants to spend at most $$85.20, what is the maximum number of hours t$ they can rent the room? (Write your answer as an inequality.)

Accepted Answer

$$t \leq 8$$

Question 3

Jina is choosing between two truck rental companies. Company A charges a $$30 initial fee plus 0.80 $$per mile. Company B charges a $$44 initial fee plus 0.60 $$per mile. For what mileages $$m$$ will Company A charge less than Company B?

Accepted Answer

$$m \u003c 70$$

Question 4

Scott invested $16,000 in two funds. Fund A returned 5% profit, Fund B returned 2%. If the total profit was 4%, how much did he invest in Fund B?

Accepted Answer

$$8,000$$

Question 5

Find the $$x- $$and $$y-$$intercepts of the line $$-9x + 7y = 15.$$

Accepted Answer

$$x-$$intercept: $$(-\frac{5}{3}, 0)$$, $$y-$$intercept: $$(0, \frac{15}{7})$$

Question 6

What is the slope of a line perpendicular to $$y = \frac{3}{2}x + 4$$?

Accepted Answer

$$-\frac{2}{3}$$

Question 7

The credit remaining on a phone card is a linear function of calling time. After 24 minutes, the credit is $$26.88; after 57 minutes, it is 22.59. $$What is the remaining credit after 60 minutes?

Accepted Answer

$$22.20$$

Question 8

Given $$f(x) = -\frac{x^2$}{6}$$ and $$g(x) = \frac{x^2$ + x}{5}$$, what is the domain of $$f$$?

Accepted Answer

$$(-\infty, 6) \cup (6, \infty)$$

Question 9

Find the average rate of change of $$f(x) = -3x^2$ + 3$$ from $$x = 5 to$$ $$x = 8.$$

Accepted Answer

$$-39$$

Question 10

For the function $$f(x) = -4x + 7$$, find the difference quotient $$\frac{f(x+h) - f(x)}{h}$$ for $$h 
eq 0.$$

Accepted Answer

$$-4$$

Question 11

Which of the following functions is even?

Accepted Answer

$$g(x) = 7x^2$

Question 12

Suppose the monthly cost $$C (in $$dollars) of a phone plan is a linear function of calling time $$t (in $$minutes) with slope $$0.13. If$$ $$C = 18.34$$ when $$t = 37$$, what is $$C$$ when $$t = 45$$?

Accepted Answer

$$19.38$$

Question 13

Which of the following equations is symmetric with respect to the $$y-$$axis?

Accepted Answer

$$y = x^2$ + 10$$

Question 14

Given the function $$k(x) = x - 4$$, what is the expression for $$k(x+3)$$?

Accepted Answer

$$x - 1$$

Question 15

Which of the following describes the transformation from $$y = f(x) to$$ $$y = f(-x)$$?

Accepted Answer

Reflection across the $$y-$$axis

Question 16

Given the function $$v(x) = -6x + 24$$, what is the domain of $$v$$?

Accepted Answer

$$(-\infty, \infty)$$

Question 17

Which of the following is the correct equation for the vertical line passing through the point $$(-2, 6)$$?

Accepted Answer

$$x = -2$$

Question 18

Which of the following is NOT a function?

Accepted Answer

A relation where one $$x-$$value is paired with two different $$y-$$values

Question 19

Given $$y = 3x + 4$$, what is the $$y-$$intercept?

Accepted Answer

$$4$$

Guided Practice for Precalculus and Algebra Fundamentals (MATH005 Exam 1A)

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