Part 2 — Full Practice Exam 2

Questions in this quiz (41)

1. Divide.$$12.6\div0.35$$

   • $$3.6$$
   • $$36$$
   • $$360$$
   • $$4.41$$

2. Add.$$2\frac{1}{3}+1\frac{5}{6}$$

   • $$3\frac{1}{6}$$
   • $$3\frac{5}{6}$$
   • $$4\frac{1}{6}$$
   • $$4\frac{5}{6}$$

3. An item costs $$\$85$$ before a $$6\%$$ sales tax is added. What is the total cost?

   • $$\$90.10$$
   • $$\$90.60$$
   • $$\$91.00$$
   • $$\$96.00$$

4. Solve the proportion.$$\frac{7}{12}=\frac{x}{60}$$

   • $$28$$
   • $$35$$
   • $$42$$
   • $$55$$

5. A vehicle travels $$315$$ miles in $$4.5$$ hours. What is its average speed?

   • $$63$$ miles per hour
   • $$70$$ miles per hour
   • $$72$$ miles per hour
   • $$75$$ miles per hour

6. What is the mean of the following numbers?$$12,15,17,18,23$$

   • $$15$$
   • $$16$$
   • $$17$$
   • $$18$$

7. What is the median of the following data set?$$9,22,14,5,18,27$$

   • $$14$$
   • $$16$$
   • $$18$$
   • $$22$$

8. What is the range of the following data set?$$11,19,27,34,42$$

   • $$21$$
   • $$29$$
   • $$31$$
   • $$53$$

9. A bag contains $$3$$ red marbles and $$5$$ blue marbles. A marble is selected, returned to the bag, and then another marble is selected. What is the probability that both marbles are red?

   • $$\frac{3}{8}$$
   • $$\frac{6}{16}$$
   • $$\frac{9}{64}$$
   • $$\frac{3}{64}$$

10. A salesperson earns an $$8\%$$ commission on $$\$2,350$$ in sales. How much commission does the salesperson earn?

    • $$\$168$$
    • $$\$180$$
    • $$\$188$$
    • $$\$235$$

11. A cylinder has a radius of $$5$$ centimeters and a height of $$12$$ centimeters. What is its volume?

    • $$60\pi$$
    • $$120\pi$$
    • $$300\pi$$
    • $$600\pi$$

12. A person who is $$5$$ feet tall casts a shadow that is $$8$$ feet long. A tree casts a shadow that is $$28$$ feet long. How tall is the tree?

    • $$15.5$$ feet
    • $$17.5$$ feet
    • $$20$$ feet
    • $$22.4$$ feet

13. A right circular cone has a radius of $$10$$ millimeters and a slant height of $$25$$ millimeters. What is its total surface area?

    • $$100\pi$$
    • $$250\pi$$
    • $$350\pi$$
    • $$500\pi$$

14. A rectangular pond is $$18$$ feet long, $$3$$ feet wide, and $$3$$ feet deep. The water level is $$4$$ inches below the top. How many cubic feet of water are in the pond?

    • $$144$$ cubic feet
    • $$151.2$$ cubic feet
    • $$162$$ cubic feet
    • $$183.6$$ cubic feet

15. A square has an area of $$52$$ square inches. What is its perimeter to the nearest tenth of an inch?

    • $$14.4$$ inches
    • $$26.0$$ inches
    • $$28.8$$ inches
    • $$52.0$$ inches

16. A square cabana measures $$12$$ feet on each side. A deck extends $$2$$ feet from every side. What is the distance from one outside corner of the deck to the opposite outside corner?

    • $$12\sqrt{2}$$ feet
    • $$14\sqrt{2}$$ feet
    • $$16\sqrt{2}$$ feet
    • $$32$$ feet

17. Solve for $$x$$.$$4x-7=2x+13$$

    • $$x=3$$
    • $$x=7$$
    • $$x=10$$
    • $$x=20$$

18. Solve the inequality.$$-3x+5\le20$$

    • $$x\le-5$$
    • $$x\ge-5$$
    • $$x\le5$$
    • $$x\ge5$$

19. Simplify.$$5(2x-3)-2(x+4)$$

    • $$8x-23$$
    • $$8x-7$$
    • $$12x-23$$
    • $$12x-7$$

20. Solve the system.$$3x+2y=16$$$$x-y=2$$

    • $$(2,4)$$
    • $$(3,3)$$
    • $$(4,2)$$
    • $$(5,1)$$

21. The formula $$d=rt$$ relates distance, rate, and time. Which expression gives $$t$$?

    • $$t=dr$$
    • $$t=\frac{r}{d}$$
    • $$t=\frac{d}{r}$$
    • $$t=d-r$$

22. A mother is $$24$$ years older than her daughter. Their ages have a sum of $$54$$. How old is the daughter?

    • $$12$$ years old
    • $$15$$ years old
    • $$24$$ years old
    • $$30$$ years old

23. Solve for $$x$$.$$\frac{2}{x}+\frac{1}{3}=\frac{5}{6}$$

    • $$x=2$$
    • $$x=3$$
    • $$x=4$$
    • $$x=6$$

24. Solve the inequality.$$|x-3|\le5$$

    • $$-5\le x\le5$$
    • $$-2\le x\le8$$
    • $$x\le-2$$
    • $$x\ge8$$

25. Solve for $$x$$.$$\sqrt{2x+3}=5$$

    • $$x=8$$
    • $$x=11$$
    • $$x=14$$
    • $$x=25$$

26. Solve for $$x$$.$$2^{x-1}=32$$

    • $$x=4$$
    • $$x=5$$
    • $$x=6$$
    • $$x=7$$

27. Factor completely.$$9x^2-25$$

    • $$(3x-5)(3x+5)$$
    • $$(9x-5)(x+5)$$
    • $$(3x-5)^2$$
    • $$(9x-25)(x+1)$$

28. Simplify.$$\frac{x^2-9}{x+3}$$

    • $$x+3$$
    • $$x-3$$
    • $$x^2-3$$
    • $$x^2+3$$

29. Which values solve the equation?$$x^2-2x-15=0$$

    • $$x=-5$$ and $$x=3$$
    • $$x=-3$$ and $$x=5$$
    • $$x=-1$$ and $$x=15$$
    • $$x=3$$ and $$x=5$$

30. If $$f(x)=2x+1$$ and $$g(x)=x^2$$, what is $$f(g(3))$$?

    • $$7$$
    • $$9$$
    • $$18$$
    • $$19$$

31. If $$f(x)=3x-6$$, which expression represents $$f^{-1}(x)$$?

    • $$\frac{x-6}{3}$$
    • $$\frac{x+6}{3}$$
    • $$3x+6$$
    • $$3x-6$$

32. The table shows corresponding values of $$x$$ and $$y$$.Which equation represents the relationship?

    • $$y=-4x+3$$
    • $$y=-4x-3$$
    • $$y=4x+3$$
    • $$y=-x+3$$

33. A machine is purchased for $$\$15,000$$ and loses $$20\%$$ of its value each year. What is its value after $$3$$ years?

    • $$\$7,200$$
    • $$\$7,680$$
    • $$\$9,000$$
    • $$\$12,000$$

34. A geometric sequence begins:$$3,6,12,24,\ldots$$What is the eighth term?

    • $$192$$
    • $$256$$
    • $$384$$
    • $$768$$

35. A jar contains only quarters and dimes. There are $$20$$ coins with a total value of $$\$3.50$$. How many quarters are in the jar?

    • $$5$$ quarters
    • $$8$$ quarters
    • $$10$$ quarters
    • $$15$$ quarters

36. At what value of $$x$$ does $$f(x)=-2x^2+12x+5$$ reach its maximum?

    • $$x=2$$
    • $$x=3$$
    • $$x=5$$
    • $$x=6$$

37. What are the zeros of $$f(x)=(x+2)(x-5)$$?

    • $$x=-5$$ and $$x=2$$
    • $$x=-2$$ and $$x=5$$
    • $$x=2$$ and $$x=5$$
    • $$x=-2$$ and $$x=-5$$

38. What is the domain of $$f(x)=\sqrt{x-4}$$?

    • $$x\le4$$
    • $$x\ge4$$
    • $$x\le-4$$
    • $$x\ge-4$$

39. The table represents an exponential function.Which equation represents the function?

    • $$y=2(4^x)$$
    • $$y=4(2^x)$$
    • $$y=2x+4$$
    • $$y=4x+2$$

40. A cylinder has a volume of $$500\pi$$ cubic units and a height of $$20$$ units. What is its radius?

    • $$4$$ units
    • $$5$$ units
    • $$20$$ units
    • $$25$$ units

41. How many liters of a $$50\%$$ solution must be added to $$10$$ liters of a $$20\%$$ solution to create a $$30\%$$ solution?

    • $$2$$ liters
    • $$4$$ liters
    • $$5$$ liters
    • $$10$$ liters