Full Practice Exam 3 — Module 1

Questions in this quiz (22)

1. For what value of $$x$$ will the expression $$3[x+(x-3)]+5x$$ equal $$18$$?

   • $$\frac{9}{11}$$
   • $$\frac{11}{27}$$
   • $$\frac{27}{11}$$
   • $$\frac{38}{11}$$

2. John’s salary includes a base salary of $$\$1,700$$ per month plus a commission of $$20\%$$ of his monthly car sales. If his salary in June was $$\$8,700$$, how much in sales did he have in June?

   • $$25,000$$
   • $$35,000$$
   • $$70,000$$
   • $$75,000$$

3. A team of 60 boys and girls is to be chosen for a singing competition. There must be twice as many girls as boys. If $$b$$ boys and $$g$$ girls are chosen, which system of equations models this scenario?

   • $$b=50$$$$g=60$$
   • $$b+g=60$$$$2g=b$$
   • $$b+g=60$$$$2b=g$$
   • $$b-g=60$$$$2b=g$$

4. Which number line represents the solution to the inequality $$2x$$ > $$3$$?

5. $$y$$ < $$3x$$$$y\ge3x-5$$A system of inequalities is shown above. Which regions marked in the graph represent the solution to the system?

   • $$B,I$$
   • $$G,I$$
   • $$B,G,I$$
   • $$B$$

6. If 1 mile is equal to 1,760 yards, 1 yard is equal to 3 feet, and 1 foot is equal to 12 inches, which graph represents the relationship between miles and inches when the vertical axis is measured in units of 100,000 inches?

7. How many points of intersection do the graphs of $$y=|2x-3|$$ and $$y=15$$ have?

   • $$0$$
   • $$1$$
   • $$2$$
   • No solution

8. If $$\frac{1}{x}+a=\frac{1}{y}$$, what is $$x$$ in terms of $$y$$?

   • $$\frac{y}{1+ay}$$
   • $$\frac{y}{1-ay}$$
   • $$\frac{1+ay}{y}$$
   • $$\frac{1-ay}{y}$$

9. When $$3x^2+4x+1$$ is divided by $$3x+1$$, what is the remainder?

   • $$x+1$$
   • $$0$$
   • $$2x+1$$
   • $$2x-1$$

10. The graph shows a line and two parabolas. At which point do all three functions intersect?

    • $$(-2,4.5)$$
    • $$(1.5,2.1)$$
    • $$(4,0.9)$$
    • $$(0,0)$$

11. The table shows values of the functions $$f(x)$$ and $$g(x)$$.Which expression is equal to $$g(x)$$?

    • $$f(x)$$
    • $$f(x^2)$$
    • $$3f(x)$$
    • $$f(3x)$$

12. A circle has a radius of 10 units. A chord is 16 units long. What is the distance from the center of the circle to the chord?

    • $$4$$
    • $$6$$
    • $$8$$
    • $$12$$

13. The graph of $$g(x)$$ is shown. What is the value of $$g(-7)-g(2)$$?

    • $$-7$$
    • $$0$$
    • $$2$$
    • $$9$$

14. The parabola shown has vertex $$(4,1)$$. If the parabola is moved 6 units to the left and 4 units up, where will the vertex be?

    • $$(-4,5)$$
    • $$(-2,-5)$$
    • $$(-2,5)$$
    • $$(4,-5)$$

15. The number of items sold at a store is modeled by $$N(t)=16t^3-2t^2+13$$, and the average price of the items is modeled by $$P(t)=2t+4$$. Which function models the revenue $$R(t)$$ from these items?

    • $$R(t)=32t^3+60t^2-8t+52$$
    • $$R(t)=32t^4+60t^3-8t^2+26t+52$$
    • $$R(t)=32t^4+60t^3-8t^2+26t$$
    • $$R(t)=32t^4+8t^2+26t+52$$

16. If $$a^{-\frac{5}{2}}=2^5$$, what is the value of $$a$$?

    • $$\frac18$$
    • $$\frac14$$
    • $$\frac12$$
    • $$1$$

17. Maria wants to cut a rope that is 20 feet long into several equal pieces with no rope left over. How many pieces will she have if the length of each piece is the greatest integer possible?

    • 2

18. Tim had $$\$100$$ in his bank account at the beginning of the month. During the month, he withdrew $$w$$ dollars and deposited $$d$$ dollars. If the deposit was twice as much as the withdrawal and he had a balance of $$\$150$$ at the end of the month, how much did he deposit?

    • 100

19. Machine A can make 8 toys in one hour. Machine B can make 9 toys in 30 minutes. If each machine works simultaneously, how many toys will be made after 90 minutes?

    • $$26$$
    • $$29$$
    • $$36$$
    • $$39$$

20. At a car dealership, sales of model-A were 100 cars in 2010 and increased by the same percentage for the next two years. Sales of model-B were 1,600 cars in 2010 and decreased by the same percentage for the next two years. If the percentage increase for model-A equals the percentage decrease for model-B, and their 2012 sales are equal, what is the percentage increase or decrease?

    • $$30\%$$
    • $$45\%$$
    • $$60\%$$
    • $$65\%$$

21. The graph shows the water level $$w$$, in feet, after $$t$$ hours of rain. Assuming the pattern continues, what will the water level be after 5 hours?

    • $$32$$
    • $$52.52$$
    • $$97.66$$
    • $$243$$

22. For a given set of data, which measure is least affected by the addition of an outlier?

    • Standard Deviation
    • Mean
    • Median
    • Range