Full Practice Exam 1 — Module 1

Questions in this quiz (22)

1. If $$2x+7=13$$, then which of the following is the value of $$x^2+6$$?

   • $$9$$
   • $$12$$
   • $$15$$
   • $$18$$

2. 999 is the result when 857 is added to 10 less than 2 times a given number. Which of the following is the value of this number?

   • $$76$$
   • $$142$$
   • $$152$$
   • $$57$$

3. The graph shows the change in the population of certain animals from 2010 to 2017. Which animal experienced the greatest decrease in population?

   • Wolves
   • Snakes
   • Owls
   • Lizards

4. The number of oranges sold can be modeled by $$y=5x+500$$, where $$y$$ is the number of oranges sold and $$x$$ is the month number. The cost of each orange can be represented by $$c=0.2y+100$$. What is the cost of oranges in the 10th month of the year?

   • $$200$$
   • $$210$$
   • $$220$$
   • $$230$$

5. What is the approximate percentage increase in the population of lizards from 2010 to 2017, based on the graph shown?

   • $$25\%$$
   • $$50\%$$
   • $$75\%$$
   • $$100\%$$

6. Bob’s bank balance initially was $$1024$$ dollars. He spent 50% of his money every day for 5 days. How much money did he have left after the 5 days ended?

   • $$8$$
   • $$16$$
   • $$32$$
   • $$64$$

7. Which of the following points $$(x,y)$$ satisfies the inequality $$x$$ < $$4y+3$$?

   • $$(7,1)$$
   • $$(9,1)$$
   • $$(7,2)$$
   • $$(9,-1)$$

8. Wednesday’s high temperature is $$z^\circ$$. Thursday’s high temperature is $$2z^\circ$$. Friday’s high temperature is the absolute value of the difference between Wednesday’s and Thursday’s high temperatures. Which represents the high temperature on Friday?

   • $$z$$
   • $$2z$$
   • $$|2z|$$
   • $$|3z|$$

9. The rate of reaction at a given time is found by taking the slope of the graph at that point. Based on the graph, which of the following is the value of the rate of reaction at time $$2$$ seconds?

   • $$-2$$
   • $$-1$$
   • $$1$$
   • $$2$$

10. The table shows the average height of a basil plant observed over 6 weeks. Based on the table, which of the following is the average height over the 6 weeks recorded?

    • $$2.75$$
    • $$2.92$$
    • $$3.00$$
    • $$3.25$$

11. What is the slope of a line perpendicular to the line $$y=3x-5x+7.5$$? Express your answer as a decimal to the nearest tenth place.

    • 0.5

12. Amanda pays her cell phone company 50 dollars a month, plus 1 dollar for every minute spoken and 50 cents for each text message sent. Betty pays her cell phone company 25 dollars a month, plus 2 dollars for every minute spoken and 75 cents for each text message sent. If both speak for 100 minutes a month and send 200 text messages a month, how much more money will Betty spend than Amanda in 1 year?

    • 1500

13. A man runs at a speed of 0.75 miles per hour. There are 1760 yards in a mile. What is the man’s speed in yards per minute?

    • 22

14. $$x^2+6x+9=0$$What is the absolute value of the sum of the solutions to the polynomial shown below?

    • 6

15. Onboard a flight, 150 people are each carrying luggage with an average weight of 35 pounds. What is the heaviest luggage possible to carry onto the plane, given that there is no restriction on the size of luggage and each passenger is carrying at least 1 pound of luggage?

    • 5101

16. If a circle has a radius of $$10$$ and a major arc length of $$15\pi$$, what is the angle, in radians, of the arc?

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

17. A rectangular swimming pool is in the shape of a right rectangular prism that is 24 feet wide, 54 feet long, and 9 inches deep. What are the dimensions of the pool, width by length by depth, in yards? Note: $$1$$ yard $$=3$$ feet and $$1$$ foot $$=12$$ inches.

    • $$8$$ yards by $$18$$ yards by $$\frac14$$ yard
    • $$8$$ yards by $$18$$ yards by $$\frac34$$ yard
    • $$72$$ yards by $$162$$ yards by $$27$$ yards
    • $$8$$ yards by $$54$$ yards by $$\frac14$$ yard

18. Triangle $$ABC$$ is similar to triangle $$XYZ$$, where $$A$$, $$B$$, and $$C$$ correspond to $$X$$, $$Y$$, and $$Z$$, respectively. In triangle $$ABC$$, the length of $$\overline{AB}$$ is $$170$$ and the length of $$\overline{BC}$$ is $$850$$. In triangle $$XYZ$$, the length of $$\overline{YZ}$$ is $$60$$. What is the length of $$\overline{XY}$$?

    • $$204$$
    • $$182$$
    • $$60$$
    • $$12$$

19. A right triangle has base $$10$$ cm and height $$6$$ cm. What is the area of the triangle in square centimeters?

    • 30

20. $$3x+4y=11$$ $$mx-6y=9$$In the system of equations above, $$x$$ and $$y$$ are variables while $$m$$ is a constant. For which value of $$m$$ does the system have no solution? Write your answer as a decimal.

    • -4.5

21. Given the table shown above, what is the probability that a student is a Democrat or prefers math?

    • $$\frac{129}{150}$$
    • $$\frac{46}{75}$$
    • $$\frac{37}{150}$$
    • $$\frac{37}{80}$$

22. The function $$f(x)=x^2-4$$. What are the $$x$$-intercepts of this function?

    • $$x=4$$ and $$x=-4$$
    • $$x=2$$ and $$x=-2$$
    • $$x=-2$$ only
    • $$x=2$$ only