Full Practice Exam 30 — Module 1

Questions in this quiz (22)

1. $$y+12=5x$$What is the $$y$$-intercept of the line represented by the equation?

   • $$-12$$
   • $$-\frac{12}{5}$$
   • $$5$$
   • $$12$$

2. Which expression is equivalent to $$\frac{x^2-121}{x-11},$$ where $$x\neq11$$?

   • $$x+11$$
   • $$x-11$$
   • $$x^2-11$$
   • $$x^2+11$$

3. A cyclist plans to complete a $$450$$-mile route. After traveling $$150$$ miles, the cyclist increases the average daily distance by $$10$$ miles per day and finishes the remaining trip in $$d$$ days. Which expression represents the cyclist's average daily distance during the remainder of the trip?

   • $$\frac{300}{d}$$
   • $$\frac{450}{d}$$
   • $$\frac{300}{d}+10$$
   • $$\frac{150}{d}+10$$

4. Which expression is equivalent to $$3(2x-5)-2(x+4)?$$

   • $$4x-23$$
   • $$4x-7$$
   • $$8x-7$$
   • $$8x-23$$

5. The operating cost $$C$$, in dollars, for a factory is modeled by $$C(n)=18n+45,000,$$ where $$n$$ is the number of items produced. What is the meaning of the number $$18$$ in this context?

   • The initial operating cost
   • The profit earned per item
   • The additional cost for each item produced
   • The total cost after producing $$18$$ items

6. In a survey, $$\frac35$$ of the respondents prefer Product A, $$\frac14$$ prefer Product B, and the remainder prefer neither product. What fraction of the respondents prefer neither product?

   • $$\frac1{10}$$
   • $$\frac7{20}$$
   • $$\frac3{20}$$
   • $$\frac9{20}$$

7. A collection contains only red and blue marbles in the ratio $$7:5$$. If there are $$168$$ marbles altogether, how many red marbles are in the collection?

   • $$84$$
   • $$98$$
   • $$112$$
   • $$126$$

8. The system $$y+8\le4x$$ and $$x\le y-1$$ has a solution point $$(x,y)$$. What is the least possible integer value of $$y$$?

   • $$2$$
   • $$3$$
   • $$4$$
   • $$5$$

9. Twenty students were asked the combined total number of servings of fruits and vegetables they have each day. The results are presented in the histogram. What is the median number of servings of fruits and vegetables consumed each day?

   • $$4$$
   • $$5$$
   • $$6$$
   • $$7$$

10. A jacket costs $$x$$ dollars before sales tax. The sales tax is $$8.5\%$$, but the cashier accidentally applied a discount of $$8.5\%$$ instead. What expression represents the amount charged?

    • $$0.085x$$
    • $$0.915x$$
    • $$1.085x$$
    • $$0.85x$$

11. A commuter spends $$18$$ more minutes traveling home than traveling to work. If the total commuting time for the day is $$74$$ minutes, how many minutes does the morning commute take?

    • $$28$$
    • $$30$$
    • $$32$$
    • $$36$$

12. The function $$f$$ is defined by $$f(x)=\frac{x^3}{8}+5.$$ What is the value of $$f(4)$$?

    • $$9$$
    • $$11$$
    • $$13$$
    • $$15$$

13. A rectangular prism has a volume of $$240$$ cubic centimeters. If the product of its length and width is $$48$$ square centimeters, what is its height, in centimeters?

    • $$4$$
    • $$5$$
    • $$6$$
    • $$8$$

14. What is the best approximation of the slope of the line graphed?

    • $$\frac12$$
    • $$\frac23$$
    • $$\frac43$$
    • $$2$$

15. If the equation $$2x^2-9x+7=0$$ has solutions $$r$$ and $$s$$, what is the value of $$r+s$$?

    • $$\frac72$$
    • $$\frac92$$
    • $$7$$
    • $$9$$

16. The density of a material is given by $$d=\frac{m}{v}.$$ If an object has a mass of $$4.5$$ kilograms and a volume of $$1.5$$ liters, what is its density in kilograms per liter?

    • $$2$$
    • $$2.5$$
    • $$3$$
    • $$4.5$$

17. What percent of $$240$$ is $$84$$?

    • $$30\%$$
    • $$35\%$$
    • $$40\%$$
    • $$45\%$$

18. A line perpendicular to $$y=\frac12x-6$$ passes through the point $$(0,8)$$. What is the value of $$y$$ when $$x=4$$ on the perpendicular line?

    • $$0$$
    • $$2$$
    • $$4$$
    • $$6$$

19. Traffic density is measured in vehicles per mile per lane. The traffic density in a city is portrayed in the graph. Between what two hours does the traffic density increase the most?

    • Between $$7$$ A.M. and $$9$$ A.M.
    • Between $$9$$ A.M. and $$11$$ A.M.
    • Between $$1$$ P.M. and $$3$$ P.M.
    • Between $$3$$ P.M. and $$5$$ P.M.

20. A right triangle has legs of lengths $$a$$ and $$a+3$$ and a hypotenuse of length $$15$$. What is the value of $$a$$?

    • 9

21. The circle graph gives the percentages of $$800$$ city residents who voted in favor of a tax levy, labeled “YES,” and those who voted against it, labeled “NO.” If the central angle formed by the portion of the circle allocated to “NO” is $$45^\circ$$, how many of the residents voted “NO”?

    • $$90$$
    • $$100$$
    • $$110$$
    • $$120$$

22. The points on the scatterplot show the Index of Consumer Sentiment values for US consumers each year from $$2008$$ to $$2016$$. A line of best fit for the data is also shown. For $$2015$$, which of the following is closest to the difference between the actual Index of Consumer Sentiment value and the value predicted by the line of best fit?

    • $$4.6$$
    • $$2.1$$
    • $$1.0$$
    • $$0.2$$