Full Practice Exam 1 — Module 2

Questions in this quiz (22)

1. If $$x+1.5=4.5$$, then $$10x=$$?

   • $$15$$
   • $$30$$
   • $$45$$
   • $$60$$

2. Experts predict that the Chicago Cubs will win an average of 5 out of the 7 games that they play. What is the probability that they will win two games in a row?

   • $$\frac{10}{14}$$
   • $$\frac{5}{14}$$
   • $$\frac{10}{49}$$
   • $$\frac{25}{49}$$

3. Which of the following equals 30% of 90?

   • 9% of 30
   • 35% of 80
   • 10% of 270
   • 25% of 100

4. The stock price of Pear Inc. opens at $$\$600.00$$ and decreases by $$\$15.00$$ every hour. The stock price of Electronix Inc. opens at $$\$500.00$$ and increases by $$\$10.00$$ every hour. After how many hours will the stock prices of the two companies be the same?

   • 2 hours
   • 3 hours
   • 4 hours
   • 5 hours

5. There are 1000 milliliters in a liter. 1 liter is approximately 0.26 gallons. If an experiment requires 300 milliliters of sulfuric acid, what is this value in gallons?

   • 0.064 Gallons
   • 0.068 Gallons
   • 0.074 Gallons
   • 0.078 Gallons

6. Which of the following best describes the relationship between time and velocity in the scatterplot shown?

   • Time and velocity are increasing at the same rate
   • Time and velocity are inversely proportional
   • As time increases, the velocity increases
   • As time increases, the velocity decreases

7. Which of the following is equal to $$(2x+2)^2$$?

   • $$4x^2+4x+4$$
   • $$4(x^2+2x+1)$$
   • $$4(2x^2+8x+4)$$
   • $$4x^2+4x+8$$

8. The table shows hours $$h$$ and number of cells $$C$$. The values are $$h=1,2,3,4$$ and $$C=1,2,4,8$$. Which equation can be used to model the cell count $$C$$ as a function of hours $$h$$?

   • $$C=h^2$$
   • $$C=2h$$
   • $$C=h^2+2h$$
   • $$C=2^{h-1}$$

9. How many 5-digit zip codes can be assigned if the first digit must be a 7 and the last digit must be a 0? Numbers can be repeated.

   • $$30$$
   • $$504$$
   • $$729$$
   • $$1000$$

10. The chart shows data taken from a survey of people at a voting center. What is the probability that an adult is voting Republican, given that they are in the 18-25 age group?

    • $$\frac{15}{46}$$
    • $$\frac23$$
    • $$\frac{11}{23}$$
    • $$\frac{6}{23}$$

11. The chart shows data taken from a survey of people at a voting center. Suppose that 3000 more adults in the 26-31 age group are surveyed. How many of these adults are likely to vote Democratic?

    • $$600$$
    • $$1200$$
    • $$2400$$
    • $$3600$$

12. $$f(x)=6x+2$$$$g(x)=x^2+3x+2$$Which of the following is an intersection point of the functions?

    • $$(3,20)$$
    • $$(6,20)$$
    • $$(6,2)$$
    • $$(3,2)$$

13. The ratio of the volume of enzyme A to enzyme B is $$3:4$$. The ratio of the volume of enzyme B to enzyme C is $$5:3$$. What is the ratio of the volume of enzyme A to enzyme C?

    • $$5:4$$
    • $$4:5$$
    • $$3:3$$
    • $$3:4$$

14. How many integer solutions does the inequality $$\frac{|2x+2|}{10}$$ < $$2$$ have?

    • $$18$$
    • $$19$$
    • $$20$$
    • $$21$$

15. The profit $$c$$ that a farmer makes on potatoes each month can be modeled by the function $$c=1.1^m$$. How many months will it take for the farmer to make a $$\$100$$ profit on his potatoes?

    • $$48$$
    • $$49$$
    • $$50$$
    • $$51$$

16. A vaccine is transferred into a 2 liter bottle at a rate of 5 mL/second. At this rate, approximately how many hours will it take to fill 100 bottles of vaccine?

    • $$8$$
    • $$9$$
    • $$10$$
    • $$11$$

17. The average of 3 increasing consecutive integers starting with $$x-4$$ is which of the following?

    • $$x-2$$
    • $$x-3$$
    • $$x-4$$
    • $$x-5$$

18. The change in enthalpy of a reaction is represented by the formula $$q=mc\Delta t$$, where $$q$$ represents heat, $$m$$ represents mass, $$c$$ represents specific heat, and $$t$$ represents temperature. Which expression could be used to solve for $$m$$?

    • $$\frac{q}{m}=c\Delta t$$
    • $$m=\frac{q}{c\Delta t}$$
    • $$\Delta t=\frac{q}{mc}$$
    • $$q=mc$$

19. The kinetic energy in joules of a particle is determined by the equation $$Kinetic\ Energy=\frac12mv^2$$, where $$m$$ is mass in kilograms and $$v$$ is velocity in meters per second. Which is equal to the kinetic energy of a 2 kg ball moving at 5 meters per second?

    • $$25\text{ J}$$
    • $$50\text{ J}$$
    • $$75\text{ J}$$
    • $$100\text{ J}$$

20. A rectangle has an area of 245 square inches. One side is $$x$$ and the other side is $$5x$$. What is the length of the longest side of the rectangle?

    • 35

21. The figure shows the shape of a large swimming pool. The pool is a rectangle with semicircles on either end. If the pool is 8 ft deep throughout, what is the volume of the pool in cubic feet, rounded to the nearest whole number?Use $$3.14$$ for $$\pi$$.

    • 2824

22. Find an expression for the area of the right triangle.

    • $$18x^2-15x-12$$
    • $$17x-3$$
    • $$9x^2-\frac{15}{2}x-6$$
    • $$24x^2-38x+8$$