Part 2 — Full Practice Exam 6

Questions in this quiz (41)

1. The value of $$C$$ is defined by $$C=4x+5$$. What is the value of $$C$$ when $$x=\frac{3}{2}$$?

   • $$11$$
   • $$9$$
   • $$13$$
   • $$17$$

2. The scatter plot is showing students' heights and shoe sizes.As the students' heights increase, their shoe sizes:

   • generally decrease
   • generally increase
   • remain exactly the same
   • show no relationship to height

3. What is the length of the missing side?

   • $$4$$
   • $$5$$
   • $$\sqrt{34}$$
   • $$34$$

4. Multiply:$$(4.0\times10^7)(3.0\times10^5)$$

   • $$1.2\times10^{12}$$
   • $$7.0\times10^{12}$$
   • $$12.0\times10^{35}$$
   • $$1.2\times10^{13}$$

5. Elena has at most $$10$$ hours available. Each movie takes $$2$$ hours, and each computer game takes $$0.5$$ hour. Which inequality represents the numbers of movies, $$m$$, and games, $$g$$, she can complete?

   • $$2m+0.5g\le10$$
   • $$0.5m+2g\le10$$
   • $$2m+0.5g\ge10$$
   • $$0.5m+2g\ge10$$

6. What are the rectangle's area and perimeter?

   • Area: $$39$$ square units; perimeter: $$378$$ units
   • Area: $$378$$ square units; perimeter: $$78$$ units
   • Area: $$78$$ square units; perimeter: $$378$$ units
   • Area: $$378$$ square units; perimeter: $$39$$ units

7. The total cost of a dessert is modeled by $$C=2.25+0.20t$$, where $$t$$ is the number of toppings. How many toppings were ordered if the total cost was $$3.05$$ dollars?

   • $$2$$
   • $$3$$
   • $$4$$
   • $$5$$

8. Line $$k$$ has a slope of $$-3$$ and passes through the point $$(2,5)$$. What is the equation of line $$k$$?

   • $$y=-3x-1$$
   • $$y=3x-1$$
   • $$y=3x+11$$
   • $$y=-3x+11$$

9. A teacher needs $$10$$ inches of ribbon for each of $$86$$ students. Ribbon is sold in spools containing $$5$$ yards each. How many whole spools must the teacher purchase?Note: $$1$$ yard equals $$36$$ inches.

   • $$5$$
   • $$4$$
   • $$6$$
   • $$10$$

10. Where $$x$$ > $$-1$$, the function is ______. Where $$x$$ < $$-1$$, the function is ______.

    • increasing; decreasing
    • increasing; increasing
    • decreasing; increasing
    • constant; increasing

11. A venue has benches that each hold $$14$$ people. How many benches are needed for $$107$$ guests?

    • 8

12. Multiply:$$(4x-3)(3x+2)$$

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

13. Which graph represents $$y=3x-1$$?

14. Four students have an average score of $$8$$. Three of the scores are $$6$$, $$9$$, and $$11$$. What is the fourth score?

    • 6

15. A machine packages $$540$$ items per hour. Its output is represented by $$y=mx$$, where $$x$$ is time in minutes. What is the value of $$m$$?

    • $$6$$
    • $$60$$
    • $$9$$
    • $$540$$

16. The numbers of pets owned by five people are $$4,0,1,1,2$$. Describe how the $$X$$ marks should be placed on the line plot.

    • Place $$1$$ mark above $$0$$, $$2$$ marks above $$1$$, $$1$$ mark above $$2$$, no marks above $$3$$, and $$1$$ mark above $$4$$
    • Place $$4$$ mark above $$0$$, $$2$$ marks above $$1$$, $$1$$ mark above $$2$$,$$1$$ mark above $$3$$, and $$1$$ mark above $$4$$
    • Place $$2$$ mark above $$0$$, $$1$$ marks above $$1$$, $$0$$ mark above $$2$$,$$1$$ mark above $$3$$, and $$4$$ mark above $$4$$
    • Place $$4$$ mark above $$0$$, $$1$$ marks above $$1$$, $$0$$ mark above $$2$$,$$1$$ mark above $$3$$, and $$2$$ mark above $$4$$

17. Solve the equation for $$a$$:$$8ab=\frac{4}{5}$$

    • $$\frac{1}{10b}$$
    • $$\frac{1}{2b}$$
    • $$\frac{8}{5b}$$
    • $$\frac{10}{b}$$

18. During a $$24$$-hour day, Maya works for $$7$$ hours, sleeps for $$8$$ hours, eats for $$2$$ hours, and exercises for $$1$$ hour. She spends the remaining time on leisure. What is the probability that, at a randomly selected time, she is engaged in leisure?

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

19. The full-size triangular mural has side lengths $$15$$ feet, $$12$$ feet, and $$10$$ feet. The scale is $$2$$ inches for every $$1$$ foot. What are the three side lengths in the scale drawing?

    • $$15$$ inches, $$12$$ inches, and $$10$$ inches
    • $$7.5$$ inches, $$6$$ inches, and $$5$$ inches
    • $$30$$ inches, $$24$$ inches, and $$20$$ inches
    • $$30$$ inches, $$12$$ inches, and $$10$$ inches

20. Solve the equation:$$x^2-4x-12=2x$$

    • $$x=3\pm\sqrt{3}$$
    • $$x=-3\pm\sqrt{21}$$
    • $$x=6\pm\sqrt{21}$$
    • $$x=3\pm\sqrt{21}$$

21. What is the relationship between the lines $$y=-2x+5$$ and $$6x+3y=12$$?

    • They are parallel
    • They are perpendicular
    • They are the same line
    • They intersect but are not perpendicular

22. Solve for $$x$$:$$12x-3(2x+4)=4x$$

    • $$-6$$
    • $$6$$
    • $$2$$
    • $$12$$

23. The circle graph below shows the favorite-season for a group of $$325$$ students.How many students liked fall or spring best?

    • $$39$$
    • $$40$$
    • $$91$$
    • $$130$$

24. A rectangular brick has a length of $$9$$ inches, a width of $$5$$ inches, and a volume of $$270$$ cubic inches. What is its height, in inches?

    • 6

25. A bakery expects to sell between $$210$$ and $$240$$ rolls. It has already prepared $$84$$ rolls. Which compound inequality gives the number of additional rolls, $$r$$, that should be prepared?

    • $$126$$ < $$r$$ < $$156$$
    • $$126$$ < $$r$$ < $$324$$
    • $$294$$ < $$r$$ < $$324$$
    • $$210$$ < $$r$$ < $$240$$

26. Line $$n$$ passes through $$(0,0)$$ and $$(15,5)$$. What is the equation of line $$n$$?

    • $$y=3x$$
    • $$y=\frac{1}{3}x$$
    • $$y=\frac{1}{5}x$$
    • $$y=5x$$

27. $$g(x)=\frac{x}{2}+1$$What are $$g\left(\frac{1}{2}\right)$$, $$g(4)$$, and $$g(10)$$, in that order?

    • $$\frac{1}{4}, 2, 5$$
    • $$1, 3, 6$$
    • $$\frac{5}{4}, 3, 6$$
    • $$\frac{5}{4}, 4, 11$$

28. A flower shop sold $$150$$ flowers. Of these, $$90$$ were roses and the rest were tulips. What was the ratio of roses to tulips?

    • $$2:3$$
    • $$3:5$$
    • $$5:2$$
    • $$3:2$$

29. Which expression represents seven less than three times a number?

    • $$3x-7$$
    • $$7-3x$$
    • $$3(x-7)$$
    • $$3x+7$$

30. Which graph represents the solution to $$2x$$ < $$6$$?

31. At the beginning of $$2020$$, a plant was $$160$$ centimeters tall. It grew by $$3\%$$ during the first year and by $$2\%$$ during the next year. What was its height after both increases, to the nearest hundredth?

    • $$165.00$$ centimeters
    • $$168.00$$ centimeters
    • $$168.10$$ centimeters
    • $$169.60$$ centimeters

32. A circle has a diameter of $$14$$. What is its area?

    • $$7\pi$$
    • $$14\pi$$
    • $$196\pi$$
    • $$49\pi$$

33. Jordan has an interest-free loan of $$12{,}000$$ dollars and pays $$75$$ dollars each week. Which expression represents the amount remaining after $$w$$ weeks?

    • $$12{,}000-75w$$
    • $$12{,}000+75w$$
    • $$12{,}000w-75$$
    • $$75-12{,}000w$$

34. Points $$A(-6,1)$$, $$B(0,5)$$, $$C(3,-3)$$, and $$D(-1,-4)$$ are given. Which point lies in Quadrant III?

    • $$A$$
    • $$B$$
    • $$C$$
    • $$D$$

35. Line $$A$$ is given by $$y=\frac{1}{2}x$$, and the graph of line $$B$$ is shown below.Compare the slope and $$y$$-intercept of line $$A$$ with those of line $$B$$.

    • The slope is less, and the intercept is less
    • The slope is greater, and the intercept is greater
    • The slope of line $$A$$ is greater, and its $$y$$-intercept is less
    • The slope is equal, and the intercept is less

36. For a trip, Ana packed $$5$$ shirts, $$4$$ pairs of pants, and $$3$$ pairs of shoes. How many outfits consisting of one shirt, one pair of pants, and one pair of shoes can she make?

    • $$12$$
    • $$20$$
    • $$45$$
    • $$60$$

37. A function graph is shown below.Point $$A$$ is the ______, and point $$B$$ is the ______.

    • minimum; $$y$$-intercept
    • maximum; slope
    • midpoint; range
    • $$y$$-intercept; minimum

38. The table shows the tank capacity and miles driven for four cars.Which car drove the greatest number of miles per gallon?

    • Alpha
    • Delta
    • Beta
    • Gamma

39. Factor:$$x^2+2x-35$$

    • $$(x-7)(x+5)$$
    • $$(x+35)(x-1)$$
    • $$(x+7)(x-5)$$
    • $$(x-7)(x-5)$$

40. A test contains $$32$$ questions. Some questions are worth $$2$$ points, and the others are worth $$3$$ points. The test is worth $$86$$ points in total. How many questions are worth $$3$$ points?

    • 22

41. Subtract:$$\left(4x^2-3x+\frac{1}{2}\right)-\left(9x^2+2x-3\right)$$

    • $$-5x^2-5x+\frac{7}{2}$$
    • $$5x^2-x-\frac{5}{2}$$
    • $$-5x^2-x+\frac{7}{2}$$
    • $$13x^2-x-\frac{5}{2}$$