Full Practice Exam 2 — Module 2

Questions in this quiz (22)

1. $$68,70,72,75,76,80,82,85,89$$What is the median of the data shown?

   • $$72$$
   • $$76$$
   • $$75$$
   • $$80$$

2. $$\frac{3}{4}(2x-8)+5=\frac{1}{2}(x+6)-7$$What value of $$x$$ is the solution?

   • $$-3$$
   • $$6$$
   • $$10$$
   • $$14$$

3. A rectangle has a length of $$2x+3$$ centimeters and a width of $$x-1$$ centimeters. If the area of the rectangle is $$84$$ square centimeters, what is the value of $$x$$?

   • $$5$$
   • $$6$$
   • $$\frac{13}{2}$$
   • $$7$$

4. The expression $$\frac{30}{5x+25}$$ is equivalent to $$\frac{6}{x+c}$$, where $$c$$ is a constant and $$x$$ > $$0$$. What is the value of $$c$$?

   • $$2$$
   • $$4$$
   • $$5$$
   • $$10$$

5. Jay set a goal to bike at least $$30$$ kilometers every day to train for a race. On a certain day, Jay plans to bike at an average speed of $$5$$ kilometers per hour. What is the minimum number of hours Jay must bike on that day to fulfill the daily goal?

   • 4
   • 5
   • 6
   • 8

6. The function $$g$$ is defined by $$g(x)=x^3+4$$. What is the value of $$g(3)$$?

   • $$25$$
   • $$27$$
   • $$31$$
   • $$35$$

7. The total cost $$g(x)$$, in dollars, to lease a car for $$24$$ months from a particular car dealership is given by $$g(x)=24x+800$$, where $$x$$ is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is $$350$$?

   • 9200

8. The graph of $$5x+3y=-24$$ in the $$xy$$-plane has an $$x$$-intercept at $$(a,0)$$ and a $$y$$-intercept at $$(0,b)$$, where $$a$$ and $$b$$ are constants. What is the value of $$\frac{b}{a}$$?

   • $$\frac{5}{4}$$
   • $$\frac{3}{5}$$
   • $$\frac{5}{3}$$
   • $$\frac{6}{3}$$

9. Maria paid a total of $$210$$ dollars for a guitar by making a down payment of $$45$$ dollars plus $$m$$ monthly payments of $$15$$ dollars each. Which equation represents this situation?

   • $$m=12$$
   • $$15m+45=210$$
   • $$45m-15=210$$
   • $$45m+15=210$$

10. The table shows three values of x and their corresponding values of y. There is a linear relationship between x and y. Which equation represents this relationship?

    • $$y=-2x+5$$
    • $$y=-3x+10$$
    • $$y=-2x-5$$
    • $$y=-3x-5$$

11. A ball is thrown upward from a balcony. The equation $$h=-5t^2+6t+12$$ represents this situation, where $$h$$ is the height of the ball above the ground, in meters, $$t$$ seconds after it is thrown. Which number represents the height, in meters, from which the ball was thrown?

    • 12

12. The function $$g(x)=x^2-4$$Which table gives three values of $$x$$ and their corresponding values of $$g(x)$$ for the given function $$g$$?

13. In the linear function $$g$$, $$g(0)=5$$ and $$g(2)=11$$. Which equation defines $$g$$?

    • $$g(x)=3x+5$$
    • $$g(x)=5x+3$$
    • $$g(x)=6x+5$$
    • $$g(x)=3x+2$$

14. The side lengths of right triangle PQR are given: $$PQ=21$$, $$QR=28$$, and $$PR=35$$. Triangle PQR is similar to triangle XYZ, where Q corresponds to Y and R corresponds to Z. What is the value of $$\tan Z$$?

    • $$\frac{4}{3}$$
    • $$\frac{3}{7}$$
    • $$\frac{7}{3}$$
    • $$\frac{3}{4}$$

15. Which expression is equivalent to $$3(2x-5)-4(x-7)+2(3x+1)$$?

    • $$8x+33$$
    • $$8x+15$$
    • $$8x+39$$
    • $$10x+33$$

16. Which expression is equivalent to $$4(3x-5)-2(2x-7)+3(x-4)$$?

    • $$9x-5$$
    • $$11x-18$$
    • $$13x-17$$
    • $$17x-29$$

17. The number $$p$$ is $$12$$ more than three times the number $$q$$ decreased by $$5$$. Which equation represents the relationship between $$p$$ and $$q$$?

    • $$p=3(q+5)+12$$
    • $$p=3q-(5+12)$$
    • $$p=3(q-5)+12$$
    • $$p=3q-5+12$$

18. Out of $$600$$ seeds that were planted, $$65\%$$ sprouted. Of the seeds that sprouted, $$20\%$$ later died due to frost. How many of the original seeds remained alive after the frost?

    • $$312$$
    • $$360$$
    • $$390$$
    • $$480$$

19. If $$4x-3=13$$, what is the value of $$3(2x+5)-4x$$?

    • $$16$$
    • $$18$$
    • $$23$$
    • $$30$$

20. The function $$f$$ is defined by $$f(x)=3x-4$$, and the function $$g$$ is defined by $$g(x)=2x^2+1$$. What is the value of $$g(f(3))$$?

    • $$97$$
    • $$145$$
    • $$73$$
    • $$51$$

21. Given the equation $$5a-3b+2c=7$$, which equation correctly expresses $$b$$ in terms of $$a$$ and $$c$$?

    • $$b=\frac{7-5a-2c}{3}$$
    • $$b=\frac{5a-3c-7}{2}$$
    • $$b=\frac{5a-2c-7}{3}$$
    • $$b=\frac{5a+2c-7}{3}$$

22. In $$\triangle ABC$$, point $$D$$ is on side $$\overline{AB}$$ and point $$E$$ is on side $$\overline{AC}$$. The line segment $$\overline{DE}$$ is parallel to the line segment $$\overline{BC}$$. The measure of $$\angle BAC$$ is $$(x+y)^\circ$$, the measure of $$\angle ADE$$ is $$(2x+y)^\circ$$, the measure of $$\angle ABC$$ is $$(4x-y)^\circ$$, and the measure of $$\angle AED$$ is $$75^\circ$$. What is the measure, in degrees, of $$\angle BAC$$?

    • 42