Part 2 — Full Practice Exam 5

Questions in this quiz (41)

1. The figure represents a fish tank. If it contains $$120$$ cubic inches of water, what is the height of the water?

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

2. Which expression is equivalent to $$x^2+x-20$$?

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

3. Company A charges $$A(m)=3.50+1.5m$$. Company B is represented by the graph. How does Company A's rate per mile compare with Company B's?

   • Greater than
   • Equal to
   • Cannot be determined
   • Less than

4. The two lines in the graph represent $$y=2x-3$$ and $$y=-3x+7$$. Which point is the solution of the system?

   • $$(2,1)$$
   • $$(1,2)$$
   • $$(2,-1)$$
   • $$(3,3)$$

5. If $$(x+4)^2=25$$, which value could be $$x$$?

   • $$-5$$
   • $$-9$$
   • $$5$$
   • $$9$$

6. Which graph does not represent a function of $$x$$?

7. A director must determine the order of $$5$$ performances. How many different orders are possible?

   • $$20$$
   • $$25$$
   • $$60$$
   • $$120$$

8. What is the total surface area of the cylinder shown?

   • $$192\pi$$ square units
   • $$120\pi$$ square units
   • $$156\pi$$ square units
   • $$360\pi$$ square units

9. Which expression is equivalent to the cube of $$4$$ subtracted from the square root of $$25$$?

   • $$59$$
   • $$-59$$
   • $$-39$$
   • $$69$$

10. The figure represents a rectangular plot measuring $$10$$ feet by $$15$$ feet. Sod costs $$$0.35$$ per square foot. Which expression determines the total cost?

    • $$(0.35)+(10)+(15)$$
    • $$(0.35)(10+15)$$
    • $$(0.35)(10)(15)$$
    • $$(0.35)(10)+15$$

11. The scale drawing shown is $$5$$ inches high and $$7.5$$ inches wide. If the actual sculpture is $$3$$ feet high, what is its width?

    • $$5.5$$ feet
    • $$17.5$$ feet
    • $$22.5$$ feet
    • $$4.5$$ feet

12. Three packages weigh $$7$$ ounces, $$4$$ ounces, and $$9$$ ounces. If $$1$$ ounce is approximately $$28.35$$ grams, which expression gives their total weight in grams?

    • $$(7+4+9)(28.35)$$
    • $$(7)(4)(9)+28.35$$
    • $$\frac{(7)(4)(9)}{28.35}$$
    • $$\frac{7+4+9}{28.35}$$

13. In right triangle $$ABC$$ shown, what is the length of $$AB$$?

    • $$1$$
    • $$5$$
    • $$11$$
    • $$18$$

14. If $$p=4$$ and $$q=-3$$, what is the value of $$\frac{p^2+2pq}{p+2q}$$?

    • $$-20$$
    • $$-4$$
    • $$4$$
    • $$20$$

15. Students' biology-exam scores are displayed in the histogram. Which value could be the median?

    • $$61$$
    • $$78$$
    • $$97$$
    • $$86$$

16. A ball's height is shown on the graph. Which point represents the time and height at its maximum?

    • $$(4,120)$$
    • $$(0,0)$$
    • $$(2,80)$$
    • $$(8,0)$$

17. Multiply.$$(3x^2y^3)(4x^5y^2)$$

    • $$7x^7y^5$$
    • $$12x^7y^5$$
    • $$12x^{10}y^6$$
    • $$12x^7y^6$$

18. Use the data below.$$34$$, $$31$$, $$29$$, $$27$$, $$30$$, $$39$$, $$24$$, $$33$$, $$41$$What are the median and mean?

    • Median $$30$$ and mean $$31$$
    • Median $$32$$ and mean $$31$$
    • Median $$31$$ and mean $$32$$
    • Median $$33$$ and mean $$34$$

19. What is the area of the shaded region shown on the graph?

    • $$50$$ square feet
    • $$100$$ square feet
    • $$200$$ square feet
    • $$150$$ square feet

20. If $$f(x)=3x-5$$, what is $$f(-4)$$?

    • $$-17$$
    • $$-9$$
    • $$7$$
    • $$17$$

21. What is the area of the triangle shown?

    • $$30$$ square inches
    • $$65$$ square inches
    • $$32.5$$ square inches
    • $$60$$ square inches

22. What is the perimeter of a square with area $$36$$ square units?

    • $$12$$ units
    • $$36$$ units
    • $$24$$ units
    • $$144$$ units

23. Which labeled point on the coordinate plane represents $$(5,-4)$$?

    • Point A
    • Point B
    • Point C
    • Point D

24. Which expression represents the distance between points $$A$$ and $$B$$ on the number line?

    • $$|A-B|$$
    • $$|A|-|B|$$
    • $$A-B$$
    • $$A+B$$

25. Find the area enclosed by $$y=x+2$$, $$x=4$$, and $$y=-\frac{1}{4}x+7$$.

    • $$20$$ square units
    • $$10$$ square units
    • $$30$$ square units
    • $$40$$ square units

26. According to the scatterplot, what happens to the number of cars sold as the price increases?

    • Increases
    • Is unaffected
    • Decreases
    • Cannot be determined

27. Bananas are sold in bunches of $$6$$ for $$$2.25$$ per bunch. What is the least amount a customer can spend to buy at least $$20$$ bananas?

    • $$$3.33$$
    • $$$4.00$$
    • $$$6.75$$
    • $$$9.00$$

28. If $$g(x)=3x^2+4x-7$$, what is $$g(-3)$$?

    • $$8$$
    • $$16$$
    • $$24$$
    • $$32$$

29. Which graph has a relative minimum at $$(3,-4)$$?

30. A line through $$(3,0)$$ has slope $$4$$. Which equation represents the line?

    • $$y=4x-3$$
    • $$y=4x+3$$
    • $$y=4x-12$$
    • $$y=4x+12$$

31. A bag contains $$4$$ blue, $$10$$ black, $$5$$ green, and $$9$$ red marbles. What is the probability of selecting a blue marble?

    • $$\frac{1}{6}$$
    • $$\frac{1}{4}$$
    • $$\frac{2}{7}$$
    • $$\frac{1}{7}$$

32. Multiply.$$3x(4x^5-x^2+1)$$

    • $$12x^6-3x^3+3x$$
    • $$12x^5-3x^2+3$$
    • $$7x^6-3x^3+3x$$
    • $$12x^6+3x^3+3x$$

33. The table represents a linear function.Which graph represents the function?

34. An account earns $$3\%$$ simple annual interest. If the initial deposit is $$$600$$ and no transactions are made, how much will be in the account after $$4$$ years?

    • $$$72$$
    • $$$618$$
    • $$$672$$
    • $$$720$$

35. Solve $$3(x+2)=5x+2(x-4)$$.

    • $$1$$
    • $$2$$
    • $$4$$
    • $$\frac{7}{2}$$

36. A circle has circumference $$20\pi$$. What is its area?

    • $$100\pi$$ square units
    • $$10\pi$$ square units
    • $$20\pi$$ square units
    • $$400\pi$$ square units

37. If $$2x^2-5x+2=0$$, which expression gives all possible values of $$x$$?

    • $$x=-\frac{1}{2}$$ or $$x=-2$$
    • $$x=\frac{1}{2}$$ or $$x=2$$
    • $$x=1$$ or $$x=2$$
    • $$x=-1$$ or $$x=2$$

38. A restaurant bill is $$$76.50$$. If the customer leaves a $$20\%$$ gratuity, what is the total payment?

    • $$$15.30$$
    • $$$61.20$$
    • $$$91.80$$
    • $$$96.50$$

39. The area of a regular octagon is $$A=2(1+\sqrt{2})s^2$$. If its area is $$18+18\sqrt{2}$$, what is its perimeter?

    • $$8\sqrt{2}$$ units
    • $$16\sqrt{2}$$ units
    • $$24\sqrt{2}$$ units
    • $$24$$ units

40. According to the box plot, what is the difference between the maximum and the median?

    • $$14$$
    • $$13$$
    • $$17$$
    • $$21$$

41. If $$x=2y-3$$ and $$x-3y=7$$, what is the value of $$x$$?

    • $$-10$$
    • $$-23$$
    • $$4$$
    • $$9$$