Part 2 — Full Practice Exam 3

Questions in this quiz (41)

1. Divide.$$18.72\div2.4$$

   • $$7.8$$
   • $$0.78$$
   • $$6.8$$
   • $$78$$

2. Subtract.$$4\frac{1}{2}-2\frac{3}{4}$$

   • $$1\frac{3}{4}$$
   • $$1\frac{1}{4}$$
   • $$2\frac{1}{4}$$
   • $$2\frac{3}{4}$$

3. A jacket originally costs $$$240$$. It is discounted by $$35\%$$. What is the sale price?

   • 156

4. On a map, $$4$$ centimeters represents $$30$$ kilometers. How many kilometers are represented by $$11$$ centimeters?

   • $$82.5$$ kilometers
   • $$44$$ kilometers
   • $$73.5$$ kilometers
   • $$120$$ kilometers

5. A student reads $$525$$ pages in $$7$$ hours at a constant rate. How many pages does the student read per hour?

   • $$75$$ pages per hour
   • $$70$$ pages per hour
   • $$78$$ pages per hour
   • $$82$$ pages per hour

6. The price of an item increases from $$$64$$ to $$$80$$. What is the percent increase?

   • $$25\%$$
   • $$16\%$$
   • $$20\%$$
   • $$80\%$$

7. $$11,\ 14,\ 19,\ 21,\ 25$$Find the mean of the following values.

   • 18

8. A bag contains $$6$$ yellow marbles, $$5$$ green marbles, and $$4$$ blue marbles. What is the probability of randomly selecting a green marble?

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

9. A bag contains $$5$$ red marbles and $$3$$ blue marbles. Two marbles are selected without replacement. What is the probability of selecting a red marble and then a blue marble?

   • $$\frac{15}{56}$$
   • $$\frac{15}{64}$$
   • $$\frac{3}{8}$$
   • $$\frac{5}{14}$$

10. Find the simple interest earned on $$$2{,}500$$ invested at an annual rate of $$3.2\%$$ for $$4$$ years.

    • $$$320$$
    • $$$80$$
    • $$$400$$
    • $$$2{,}820$$

11. A store sells $$8$$ notebooks for $$$12$$ each and $$12$$ notebooks for $$$18$$ each. What is the average selling price of the $$20$$ notebooks?

    • $$$15.60$$
    • $$$15.00$$
    • $$$16.20$$
    • $$$18.00$$

12. The surface area of a cube is $$150$$ square centimeters. What is its volume?

    • $$125$$ cubic centimeters
    • $$750$$ cubic centimeters
    • $$25$$ cubic centimeters
    • $$5$$ cubic centimeters

13. The area of a rectangle is $$96$$ square inches, and its perimeter is $$40$$ inches. Which system can be used to determine its length, $$x$$, and width, $$y$$?

    • $$2x+2y=40$$ and $$xy=96$$
    • $$x+y=40$$ and $$xy=96$$
    • $$2x+2y=96$$ and $$xy=40$$
    • $$x+y=20$$ and $$\frac{1}{2}xy=96$$

14. A right triangle has legs measuring $$9$$ centimeters and $$12$$ centimeters. What is the length of its hypotenuse?

    • $$15$$ centimeters
    • $$18$$ centimeters
    • $$21$$ centimeters
    • $$225$$ centimeters

15. A cylinder has radius $$4$$ centimeters and height $$10$$ centimeters. What is its volume in terms of $$\pi$$?

    • $$160\pi$$ cubic centimeters
    • $$80\pi$$ cubic centimeters
    • $$40\pi$$ cubic centimeters
    • $$320\pi$$ cubic centimeters

16. A rectangular prism measures $$8$$ feet by $$5$$ feet by $$3$$ feet. What is its total surface area?

    • $$158$$ square feet
    • $$120$$ square feet
    • $$94$$ square feet
    • $$240$$ square feet

17. Solve for $$x$$.$$5x-13=42$$

    • $$x=11$$
    • $$x=5.8$$
    • $$x=29$$
    • $$x=55$$

18. Solve the inequality.$$3x+7\le28$$

    • $$x\le7$$
    • $$x\ge7$$
    • $$x\le21$$
    • $$x\ge21$$

19. Solve the system.$$x+y=11$$$$x-y=3$$

    • $$(7,4)$$
    • $$(4,7)$$
    • $$(8,3)$$
    • $$(11,3)$$

20. Simplify.$$4x^2-3x+7+2x^2+5x-9$$

    • $$6x^2+2x-2$$
    • $$6x^2-8x-2$$
    • $$8x^2+2x-2$$
    • $$6x^2+2x+16$$

21. Solve $$A=\frac{1}{2}bh$$ for $$h$$.

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

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

    • $$-2$$
    • $$2$$
    • $$-\frac{1}{2}$$
    • $$\frac{1}{2}$$

23. Which equation represents a line with slope $$3$$ and $$y$$-intercept $$-4$$?

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

24. Adult tickets cost $$$12$$ and student tickets cost $$$8$$. A total of $$150$$ tickets were sold for $$$1{,}560$$. How many adult tickets were sold?

    • $$90$$ adult tickets
    • $$60$$ adult tickets
    • $$75$$ adult tickets
    • $$120$$ adult tickets

25. Simplify.$$\frac{18x^3y^2}{6xy}$$

    • $$3x^2y$$
    • $$3x^3y^2$$
    • $$12x^2y$$
    • $$3xy$$

26. Solve.$$|2x-5|=9$$

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

27. Simplify.$$\frac{2^7\cdot2^3}{2^5}$$

    • $$32$$
    • $$16$$
    • $$64$$
    • $$128$$

28. Simplify.$$\sqrt{72}$$

    • $$6\sqrt{2}$$
    • $$8\sqrt{2}$$
    • $$12\sqrt{2}$$
    • $$36\sqrt{2}$$

29. Factor completely.$$x^2-9x+20$$

    • $$(x-4)(x-5)$$
    • $$(x+4)(x+5)$$
    • $$(x-2)(x-10)$$
    • $$(x+2)(x-10)$$

30. Solve.$$x^2-6x-7=0$$

    • $$x=7$$ or $$x=-1$$
    • $$x=-7$$ or $$x=1$$
    • $$x=7$$ or $$x=1$$
    • $$x=-7$$ or $$x=-1$$

31. What is the vertex of $$y=(x-3)^2+5$$?

    • $$(3,5)$$
    • $$(-3,5)$$
    • $$(3,-5)$$
    • $$(-3,-5)$$

32. A population begins at $$800$$ and increases by $$6\%$$ each year. Which expression gives the population after $$t$$ years?

    • $$800(1.06)^t$$
    • $$800(0.94)^t$$
    • $$800+0.06t$$
    • $$806^t$$

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

    • $$17$$
    • $$9$$
    • $$13$$
    • $$21$$

34. The function is $$g(x)=4x-7$$. Which value of $$x$$ makes $$g(x)=21$$?

    • 7

35. Which expression is equivalent to $$5(2x-3)-4(x+1)$$?

    • $$6x-11$$
    • $$6x-19$$
    • $$14x-19$$
    • $$14x-11$$

36. Solve for $$x$$.$$\frac{x-3}{5}=4$$

    • $$x=13$$
    • $$x=17$$
    • $$x=20$$
    • $$x=23$$

37. The sequence $$7,\ 12,\ 17,\ 22,\ldots$$ is arithmetic. Which expression gives its $$n$$th term?

    • $$a_n=5n+2$$
    • $$a_n=7n+5$$
    • $$a_n=5n+7$$
    • $$a_n=2n+5$$

38. Which expression is equivalent to $$(3x^2y)(-4xy^3)$$?

    • $$12x^3y^4$$
    • $$-12x^2y^3$$
    • $$-12x^3y^4$$
    • $$-x^3y^4$$

39. $$3(x-4)+2=2x+9$$Solve the equation.

    • $$x=-19$$
    • $$x=9$$
    • $$x=19$$
    • $$x=9$$

40. A line is perpendicular to $$y=\frac{2}{3}x+5$$. What is the slope of the perpendicular line?

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

41. The expression $$x^2+10x+25$$ is equivalent to which expression?

    • $$(x-5)^2$$
    • $$(x+5)^2$$
    • $$(x+25)^2$$
    • $$(x+5)(x-5)$$