Full Practice Exam 2 — Module 1

Questions in this quiz (22)

1. What is the product of all roots of the equation $$2x^2+7x-15=0$$?

   • $$-8$$
   • $$-\frac{15}{2}$$
   • $$\frac32$$
   • $$15$$

2. Kevin has 2 blue shirts, 6 black shirts, and 4 red shirts, which he keeps in the same drawer of his dresser. If he selects a shirt at random, what is the probability that it will be red or blue?

   • 25%
   • 50%
   • 60%
   • 65%

3. A line passes through the point $$(0,4)$$ and has a slope of $$-2$$. What is the equation of the line?

   • $$y=-2x-4$$
   • $$y=-2x+4$$
   • $$y=2x+4$$
   • $$y=4x-2$$

4. A car travels 240 miles in 4 hours at a constant speed. What is the car's speed in miles per hour?

   • 40 mph
   • 80 mph
   • 60 mph
   • 50 mph

5. $$x$$ < $$7$$$$x$$ > $$5$$$$y$$ > $$x$$$$y$$ > $$3$$For the system of inequalities shown above, one possible solution could be:

   • $$(6,7)$$
   • $$(6,6)$$
   • $$(5,6)$$
   • $$(2,7)$$

6. Which of the following $$x$$ values does NOT satisfy the inequality $$-|3x+5|$$ < $$|2x+2|$$?

   • $$5$$
   • $$10$$
   • $$15$$
   • All real values satisfy this inequality

7. Suzy’s bank balance increases at a rate of 5% each month. If she starts off with $$\$1278$$ in January, what will be her bank balance in June? Round to the nearest whole dollar.

   • 1631

8. A school that originally had 12 teachers now has only 10. Due to this change, the student to teacher ratio has increased by 5. How many students are there in the school?

   • $$100$$
   • $$200$$
   • $$300$$
   • $$350$$

9. The PE teacher at Mockingbird High School needs to split 15 boys and 20 girls into groups such that there are the same number of boys and girls in each group. A group can have boys or girls but not both. If the greatest number of students are in each group, how many groups are possible?

   • 7

10. The length of a rectangle is increased by 10 percent. By how much percent should the width be decreased if the area is to be kept the same?

    • $$0.91$$
    • $$1.1$$
    • $$9$$
    • $$11$$

11. A box contains two red balls, five green balls, and eight blue balls. The number of red balls is directly proportional to the number of green balls. The number of green balls is inversely proportional to the number of blue balls. If the number of green balls is increased to twenty, then what is the ratio of red balls to blue balls?

    • $$6:1$$
    • $$5:1$$
    • $$4:1$$
    • $$3:1$$

12. The Venn diagram shows students who play tennis and golf. What percentage of tennis players play golf as well?

    • $$40.00$$
    • $$42.86$$
    • $$71.42$$
    • $$100$$

13. Water is pumped from three lakes to an empty water tank every day. Water is drained from the tank every day at the rate of 40 gallons per hour for 5 hours. How much water will be in the tank after 15 days?

    • 1950

14. A circle has a radius of 7 cm. What is the circumference of the circle?Use $$\pi\approx3.14$$.

    • 43.96 cm
    • 153.86 cm
    • 49 cm
    • 21.98 cm

15. A materials engineer is testing three properties $$P$$, $$Q$$, and $$R$$ of a new alloy. Scatterplots showing the relation between $$P$$ and $$Q$$ and the relation between $$Q$$ and $$R$$ are shown. Which model best describes the relation between $$P$$ and $$R$$?

    • $$P=7-2R$$
    • $$P=2R-7$$
    • $$P=R+5$$
    • $$P=R-5$$

16. The temperature readings for five hours in two cities are shown. What is the ratio of the difference in maximum and minimum temperatures of Apex to Abyss?

    • $$0.1$$
    • $$0.5$$
    • $$0.7$$
    • $$0.8$$

17. An ornithologist recorded the number of birds visiting a marshland for 5 months after restoration. What is the average monthly increase in the number of birds visiting the marshland?

    • 200

18. A survey asking people how many cars they owned resulted in the histogram shown. Which of the following could be the median number of cars owned by those surveyed?

    • $$1$$
    • $$2$$
    • $$5$$
    • $$6$$

19. A two-way table shows the response to headache tablets for children.Based on the survey results, which conclusion can be made?

    • There is an association between the age groups and opinion
    • There is no association between the age groups and opinion
    • The association between age groups and opinion cannot be found from the data
    • More data is required to find an association between age groups and opinion

20. A right triangle has legs of length $$x+2$$ and $$2x-1$$. The hypotenuse has length $$25$$. What is the perimeter of the triangle?

    • $$56$$
    • $$60$$
    • $$64$$
    • $$68$$

21. A cylindrical water tank has a radius of 4 feet and a height of 9 feet. The tank is completely filled with water. If all the water is poured into a second cylindrical tank with radius 6 feet, what is the height of the water in the second tank?

    • $$3$$ ft
    • $$4$$ ft
    • $$5$$ ft
    • $$6$$ ft

22. In right triangle $$ABC$$, angle $$C$$ is a right angle, $$AC=12$$, and $$\sin A=\frac{5}{13}$$. What is the length of $$BC$$?

    • $$5$$
    • $$10$$
    • $$12$$
    • $$13$$