Part 2 — Full Practice Exam 1

Questions in this quiz (41)

1. A store sells 6 notebooks for $$\$15.90$$. What is the price of one notebook?

   • $$\$2.25$$
   • $$\$2.55$$
   • $$\$2.65$$
   • $$\$3.65$$

2. Multiply.$$\frac{7}{9}\cdot\frac{3}{14}$$

   • $$\frac{1}{6}$$
   • $$\frac{1}{3}$$
   • $$\frac{3}{14}$$
   • $$\frac{7}{42}$$

3. Express $$0.375$$ as a percent.

   • $$3.75\%$$
   • $$37.5\%$$
   • $$375\%$$
   • $$0.375\%$$

4. The ratio of red tiles to blue tiles is $$3:5$$. If there are 45 blue tiles, how many red tiles are there?

   • $$21$$
   • $$27$$
   • $$30$$
   • $$75$$

5. A machine produces 1,260 parts in 7 hours. At this constant rate, how many parts does it produce per hour?

   • 160
   • 175
   • 180
   • 190

6. A jacket originally costs $$\$160$$ and is reduced to $$\$124$$. What is the percent decrease?

   • $$18\%$$
   • $$20\%$$
   • $$22.5\%$$
   • $$29\%$$

7. What is the mean of the following numbers?$$14,18,21,25,32$$

   • $$20$$
   • $$22$$
   • $$24$$
   • $$27.5$$

8. What is the median of the following data set?$$7,19,4,13,21,10$$

   • $$10$$
   • $$11.5$$
   • $$13$$
   • $$16$$

9. A bag contains 6 red, 5 blue, and 4 green marbles. What is the probability of selecting a blue marble?

   • $$\frac{1}{5}$$
   • $$\frac{1}{3}$$
   • $$\frac{2}{5}$$
   • $$\frac{1}{2}$$

10. How much simple interest is earned when $$\$1,200$$ is invested at an annual rate of $$4.5\%$$ for 3 years?

    • $$\$54$$
    • $$\$120$$
    • $$\$162$$
    • $$\$180$$

11. The cone has a radius of 8 units and a height of 6 units. What is its total surface area?

    • $$64\pi$$
    • $$80\pi$$
    • $$144\pi$$
    • $$128\pi$$

12. A semicircle with a diameter of 6 meters is attached to a square with side lengths of 6 meters. Using $$\pi\approx3.14$$, what is the perimeter of the composite figure?

    • $$24.0$$ meters
    • $$27.4$$ meters
    • $$33.4$$ meters
    • $$39.4$$ meters

13. A rectangular sheet of dough measures 18 inches by 12 inches. A circular cutter has a circumference of approximately 9.42 inches. If scraps are reused, approximately how many complete cookies can be made?

    • $$10$$ cookies
    • $$12$$ cookies
    • $$14$$ cookies
    • $$30$$ cookies

14. Two people leave the same corner. One walks 5 paces west while the other walks 6 paces north. What is the straight-line distance between them?

    • $$\sqrt{11}$$
    • $$\sqrt{25}$$
    • $$\sqrt{36}$$
    • $$\sqrt{61}$$

15. What is the area of a circle with a circumference of $$16\pi$$?

    • $$8\pi$$
    • $$32\pi$$
    • $$64\pi$$
    • $$256\pi$$

16. A circle has a diameter of 16 centimeters. What is the area of a circle whose radius is three times the radius of the original circle?

    • $$24\pi$$
    • $$48\pi$$
    • $$96\pi$$
    • $$576\pi$$

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

    • $$5x-27$$
    • $$5x+3$$
    • $$11x-27$$
    • $$11x+3$$

18. Solve for $$x$$.$$7x+9=44$$

    • $$x=4$$
    • $$x=5$$
    • $$x=7$$
    • $$x=\frac{53}{7}$$

19. Solve the inequality.$$5x-7\ge18$$

    • $$x\ge5$$
    • $$x\le5$$
    • $$x\ge\frac{11}{5}$$
    • $$x\le\frac{11}{5}$$

20. Solve the system.$$x+y=11$$$$2x-y=4$$

    • $$(4,7)$$
    • $$(5,6)$$
    • $$(6,5)$$
    • $$(7,4)$$

21. The area of a triangle is given by $$A=\frac{1}{2}bh$$. Which expression gives $$h$$ in terms of $$A$$ and $$b$$?

    • $$h=\frac{A}{2b}$$
    • $$h=\frac{2A}{b}$$
    • $$h=\frac{b}{2A}$$
    • $$h=2Ab$$

22. The sum of two consecutive integers is 51. What are the integers?

    • $$24$$ and $$25$$
    • $$25$$ and $$26$$
    • $$26$$ and $$27$$
    • $$25$$ and $$27$$

23. Simplify.$$(3x^2-4x+7)+(2x^2+9x-5)$$

    • $$5x^2+5x+2$$
    • $$5x^2+13x+12$$
    • $$x^2+5x+2$$
    • $$6x^2+5x+2$$

24. What is the slope of the line passing through $$(-2,5)$$ and $$(4,-7)$$?

    • $$-3$$
    • $$-2$$
    • $$2$$
    • $$3$$

25. Which equation represents the line with slope $$-2$$ that passes through $$(3,1)$$?

    • $$y=-2x+7$$
    • $$y=-2x-5$$
    • $$y=2x-5$$
    • $$y=2x+7$$

26. A theater sold 120 tickets. Adult tickets cost $$\$12$$ and student tickets cost $$\$8$$. Total sales were $$\$1,200$$. How many adult tickets were sold?

    • $$40$$ adult tickets
    • $$50$$ adult tickets
    • $$60$$ adult tickets
    • $$80$$ adult tickets

27. Solve for $$x$$.$$\frac{3}{x-1}=1$$

    • $$x=-2$$
    • $$x=2$$
    • $$x=3$$
    • $$x=4$$

28. $$|2x-5|=9$$Solve the equation.

    • $$x=2$$ and $$x=7$$
    • $$x=-2$$ and $$x=7$$
    • $$x=-7$$ and $$x=2$$
    • $$x=-2$$ only

29. $$3^{x+1}=81$$Solve for $$x$$.

    • $$x=2$$
    • $$x=3$$
    • $$x=4$$
    • $$x=5$$

30. $$\sqrt{x+5}=4$$Solve for $$x$$.

    • $$x=9$$
    • $$x=11$$
    • $$x=16$$
    • $$x=21$$

31. The perimeter of a rectangle is given by $$P=2l+2w$$. Which expression gives $$l$$ in terms of $$P$$ and $$w$$?

    • $$l=\frac{P-w}{2}$$
    • $$l=\frac{P-2w}{2}$$
    • $$l=P-2w$$
    • $$l=\frac{P}{2}-2w$$

32. If $$f(x)=2x^2-3x+1$$, what is $$f(-2)$$?

    • 5
    • 9
    • 15
    • 19

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

    • $$y=3(5^x)$$
    • $$y=5(3^x)$$
    • $$y=5x+3$$
    • $$y=3x+5$$

34. Which value is excluded from the domain of $$f(x)=\frac{1}{x-4}$$?

    • $$-4$$
    • $$0$$
    • $$1$$
    • $$4$$

35. Function $$f$$ is shown in the table.Function $$g$$ is defined by $$g(x)=4x-1$$. Which function has the greater rate of change?

    • Function $$f$$
    • Function $$g$$
    • They have equal rates
    • The rates cannot be determined

36. An arithmetic sequence begins with 7 and has a common difference of 4. What is the tenth term?

    • $$39$$
    • $$40$$
    • $$43$$
    • $$47$$

37. Factor completely.$$x^2+x-12$$

    • $$(x+4)(x-3)$$
    • $$(x-4)(x+3)$$
    • $$(x+6)(x-2)$$
    • $$(x-6)(x+2)$$

38. Which values solve $$x^2-6x+1=0$$?

    • $$3\pm\sqrt{2}$$
    • $$3\pm2\sqrt{2}$$
    • $$6\pm2\sqrt{2}$$
    • $$-3\pm2\sqrt{2}$$

39. $$y=(x-2)^2-9$$What is the vertex of the parabola?

    • $$(-2,-9)$$
    • $$(2,-9)$$
    • $$(-2,9)$$
    • $$(2,9)$$

40. An account contains $$\$200$$ and increases by $$5\%$$ each year. Approximately how much will it contain after 3 years?

    • $$\$210.00$$
    • $$\$220.50$$
    • $$\$230.00$$
    • $$\$231.53$$

41. The length of a rectangle is 3 meters greater than its width. Its area is 40 square meters. What are its dimensions?

    • $$4$$ meters by $$10$$ meters
    • $$5$$ meters by $$8$$ meters
    • $$6$$ meters by $$7$$ meters
    • $$8$$ meters by $$11$$ meters