Part 2 — Full Practice Exam 4

Questions in this quiz (41)

1. A flight travels $$4.32\times10^3$$ miles at an average speed of $$4.8\times10^2$$ miles per hour. Approximately how many hours does the flight take?

   • $$0.9$$ hour
   • $$9$$ hours
   • $$90$$ hours
   • $$900$$ hours

2. Select the two solutions of $$x^2-4x-12=0$$.

   • $$-6$$ and $$2$$
   • $$-3$$ and $$4$$
   • $$-2$$ and $$6$$
   • $$2$$ and $$6$$

3. A rectangle has perimeter $$44$$ units and area $$117$$ square units. If the length is less than the width, what are its dimensions?

   • $$6, 14$$
   • $$7, 15$$
   • $$8, 14$$
   • $$9, 13$$

4. The probability of rain is shown below.What is the probability that it rains on all three days?

   • $$12\%$$
   • $$20\%$$
   • $$60\%$$
   • $$6\%$$

5. Roberta drives from her home to work. Halfway to work, she encounters a traffic jam and her speed slows significantly before she finally arrives. Which graph could represent her distance from home over time?

6. What is the perimeter of the figure shown?

   • $$36$$ units
   • $$48$$ units
   • $$42$$ units
   • $$54$$ units

7. Which expression represents the square of $$3$$ plus the cube root of $$11$$?

   • $$\sqrt{3}+11^3$$
   • $$3^3+\sqrt{11}$$
   • $$\sqrt[3]{3}+11^2$$
   • $$3^2+\sqrt[3]{11}$$

8. If the line graphed represents the distance traveled by a car over time, what is the speed of the car?

   • $$40$$ miles per hour
   • $$20$$ miles per hour
   • $$30$$ miles per hour
   • $$50$$ miles per hour

9. What is the perimeter of the triangle shown?

   • $$32$$ units
   • $$48$$ units
   • $$55$$ units
   • $$96$$ units

10. Simplify $$\frac{3x^2-7x+2}{2x-4}$$.

    • $$\frac{3x+1}{2}$$
    • $$\frac{3x-1}{2}$$
    • $$3x-1$$
    • $$\frac{x-2}{2}$$

11. The area of a regular hexagon is determined by $$A=\frac{3\sqrt{3}}{2}s^2$$, where $$s$$ is its side length. What is the area of the hexagon shown?

    • $$12\sqrt{3}$$ square units
    • $$16\sqrt{3}$$ square units
    • $$48\sqrt{3}$$ square units
    • $$24\sqrt{3}$$ square units

12. If $$3x+2y=16$$ and $$5x-2y=8$$, what is the value of $$y$$?

    • $$\frac{7}{2}$$
    • $$-\frac{7}{2}$$
    • $$2$$
    • $$5$$

13. A bakery charges $$$2.50$$ for a small loaf and $$$4.00$$ for a large loaf. A customer buys $$6$$ small loaves and $$4$$ large loaves. What is the average cost per loaf?

    • $$$2.90$$
    • $$$3.10$$
    • $$$3.25$$
    • $$$31.00$$

14. The graph represents quadratic function $$g$$, and the table represents quadratic function $$f$$.What is the average of the $$y$$-coordinates of the maximum points of $$f$$ and $$g$$?

    • $$3$$
    • $$9$$
    • $$6$$
    • $$12$$

15. Consider the data.$$21$$, $$24$$, $$26$$, $$29$$, $$29$$, $$30$$, $$32$$, $$32$$, $$32$$, $$38$$, $$44$$, $$47$$Which measure would change if another $$32$$ were added?

    • Median
    • Mode
    • Range
    • Mean

16. For which value of $$x$$ is $$\frac{x+4}{x^2-25}$$ undefined?

    • $$-5$$
    • $$-4$$
    • $$0$$
    • $$4$$

17. Based on the circle graph, how much more of the $$$2{,}500$$ monthly budget is devoted to rent than to transportation?

    • $$$275$$
    • $$$450$$
    • $$$800$$
    • $$$1{,}075$$

18. Which equation represents a line parallel to $$15x+3y=-9$$?

    • $$-5x+y=4$$
    • $$x-5y=-2$$
    • $$12x+4y=4$$
    • $$20x+4y=12$$

19. In the figure, a circle is inscribed in a square with side length $$8$$. What is the area of the shaded region?

    • $$64-16\pi$$ square units
    • $$32-16\pi$$ square units
    • $$64-8\pi$$ square units
    • $$16\pi-64$$ square units

20. Based on the graph, what is the approximate percent increase in sales from Monday to Friday?

    • $$10\%$$
    • $$65\%$$
    • $$25\%$$
    • $$45\%$$

21. What is the equation of the line through $$(3,5)$$ and $$(1,-3)$$?

    • $$y=4x+7$$
    • $$y=2x-5$$
    • $$y=4x-7$$
    • $$y=-4x+1$$

22. A sphere has surface area $$324\pi$$ square inches. Which value is closest to its volume?

    • Approximately $$1{,}000$$ cubic inches
    • Approximately $$6{,}100$$ cubic inches
    • Approximately $$9{,}700$$ cubic inches
    • Approximately $$3{,}050$$ cubic inches

23. A store buys apples for $$$1.80$$ per pound and sells them at a $$25\%$$ markup. How much does a customer pay for $$3$$ pounds?

    • $$$6.75$$
    • $$$5.40$$
    • $$$6.30$$
    • $$$7.20$$

24. Simplify $$(4x^3-2x^2+3x+5)-(6x^3-5x^2-x-4)$$.

    • $$2x^3-7x^2+2x+1$$
    • $$-2x^3+3x^2+4x+9$$
    • $$-2x^3-7x^2+4x+1$$
    • $$10x^3-7x^2+2x+9$$

25. Which table does not represent a function of $$x$$?

26. A traveler packs $$4$$ shirts, $$3$$ pairs of pants, and $$2$$ pairs of shoes. How many different outfits can be made using one of each item?

    • $$9$$ outfits
    • $$12$$ outfits
    • $$18$$ outfits
    • $$24$$ outfits

27. A jacket is discounted by $$25\%$$ to $$$54$$. What was its original price?

    • 72

28. Which two points on the graph lie on $$y=-2x+4$$?

    • $$(0,2)$$ and $$(4,0)$$
    • $$(0,4)$$ and $$(2,0)$$
    • $$(1,4)$$ and $$(2,2)$$
    • $$(0,-4)$$ and $$(-2,0)$$

29. Which expression represents the quotient of the sum of the square of $$x$$ and $$y$$ and the product of $$2$$ and the cube of $$z$$?

    • $$\frac{x+y^2}{2z^3}$$
    • $$\frac{2z^3}{x^2+y}$$
    • $$\frac{x^2+y}{2z^3}$$
    • $$x^2+\frac{y}{2z^3}$$

30. Maya has $$$280$$ for supplies. She must buy items costing $$$38$$, $$$19.50$$, and $$$47$$. Each tube of paint costs $$$5.50$$. Which inequality determines the number of tubes, $$c$$, she can buy?

    • $$38+19.50+47c+5.50\le280$$
    • $$38c+19.50+47+5.50\le280$$
    • $$38+19.50c+47+5.50\le280$$
    • $$38+19.50+47+5.50c\le280$$

31. The final exam is worth $$20\%$$ of a course grade. The other test scores are shown below.$$85$$, $$86$$, $$87$$, $$88$$, $$89$$, $$89$$, $$92$$, $$92$$What minimum final-exam score is needed for an overall grade of $$90$$?

    • 96

32. Simplify $$\frac{a^7b^4c^6}{a^3b^2c}$$.

    • $$a^{10}b^6c^7$$
    • $$a^4b^2c^5$$
    • $$a^4b^2c^6$$
    • $$a^3b^2c^5$$

33. The function $$f$$ is shown below.If $$g(x)=3x+4$$, how does the rate of change of $$f$$ compare with that of $$g$$?

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

34. Which equation represents the axis of symmetry of the graphed parabola?

    • $$x=-2$$
    • $$y=2$$
    • $$y=-2$$
    • $$x=1$$

35. Add a value to complete the table so that it represents a function.

    • $$-4$$
    • $$-3$$
    • $$6$$
    • $$9$$

36. The dollhouse shown is made of a rectangular prism and a right rectangular pyramid. What is its volume?

    • $$4$$ cubic feet
    • $$24$$ cubic feet
    • $$16$$ cubic feet
    • $$28$$ cubic feet

37. What is the slope of the line represented by $$3x-4y=7$$?

    • $$-\frac{3}{4}$$
    • $$\frac{4}{3}$$
    • $$\frac{3}{4}$$
    • $$-\frac{4}{3}$$

38. What is the sum of the cube of $$3x$$ and twice the square of $$y$$?

    • $$3x^3+2y^2$$
    • $$27x+2y^2$$
    • $$27x^3+4y^2$$
    • $$27x^3+2y^2$$

39. If $$2x-3$$ < $$3(x+1.4)$$, which is a possible value of $$x$$?

    • $$-6$$
    • $$-10$$
    • $$-9$$
    • $$-8$$

40. Which expression is equivalent to $$\frac{x^{5/2}}{x^2}$$?

    • $$x\sqrt{x}$$
    • $$\sqrt{x}$$
    • $$\frac{1}{\sqrt{x}}$$
    • $$x^2$$

41. Complete the circle-area table.Which pair correctly fills the blanks?

    • $$12\pi$$ and $$14\pi$$
    • $$6\pi$$ and $$7\pi$$
    • $$36\pi$$ and $$49\pi$$
    • $$18\pi$$ and $$28\pi$$