Full Practice Exam 5 — Module 1

Questions in this quiz (22)

1. If $$12a-8=100$$, what is the value of $$3a+5$$?

   • $$24$$
   • $$30$$
   • $$32$$
   • $$35$$

2. Which expression is equivalent to $$15-2x^3+4x-9$$?

   • $$-2x^3+4$$
   • $$-2x^3+10$$
   • $$-2x^3+4x+6$$
   • $$-2x^3-6$$

3. The temperature $$T$$, in degrees Fahrenheit, of a cup of coffee is modeled by a linear function. The coffee is initially $$185^\circ\text{F}$$ and cools at a constant rate of $$0.75^\circ\text{F}$$ per minute. Which equation models the temperature after $$m$$ minutes?

   • $$T=185-0.75m$$
   • $$T=185+0.75m$$
   • $$T=0.75m+185$$
   • $$T=185m-0.75$$

4. The graph models the amount of money, in dollars, that a child adds to a piggy bank in $$x$$ weeks. The line passes through approximately $$(0,0)$$ and $$(20,50)$$. On average, how many dollars does the child add each week?

   • $$2.50$$
   • $$10$$
   • $$25$$
   • $$35$$

5. A family has two children, Alex and Jordan. Together they have $$\$420$$. Alex has $$a$$ dollars, and Jordan has four times as much money as Alex. Which system of equations represents this situation?

   • $$j=4a$$$$a+j=420$$
   • $$a=4j$$$$a+j=420$$
   • $$j=420a$$$$a+j=4$$
   • $$a=420j$$$$a+j=4$$

6. The area of a triangle is $$72$$ square units. If the base is $$16$$ units, what is the height?

   • 9

7. A factory produces $$p=84t$$ parts in $$t$$ hours. What is the best interpretation of the number $$84$$?

   • The factory produces 84 parts in total.
   • The factory produces an average of 84 parts per hour.
   • The factory produces 84 hours of work.
   • The factory produces $$84t$$ parts each minute.

8. A rectangle has a length of $$15$$ centimeters and an area of $$180$$ square centimeters. What is its perimeter, in centimeters?

   • $$24$$
   • $$42$$
   • $$54$$
   • $$60$$

9. $$2x-y=7$$ $$y=3$$Which ordered pair satisfies the system?

   • $$(4,3)$$
   • $$(5,3)$$
   • $$(7,3)$$
   • $$(3,5)$$

10. All values in data set $$B$$ are shown below. $$\{4,8,11,17,23,29,35,42\}$$ What is the median of data set $$B$$?

    • $$17$$
    • $$20$$
    • $$23$$
    • $$26$$

11. A graph models bookstore revenue, in hundreds of dollars, based on the price per book. Which table gives values of $$x$$ and their corresponding values of $$y$$?

12. Which expression is equivalent to $$225x^2-300x+100$$?

    • $$(15x-10)^2$$
    • $$(15x+10)^2$$
    • $$(30x-10)^2$$
    • $$(15x-20)^2$$

13. The value of a laptop $$t$$ years after purchase is modeled by: $$V(t)=9800(0.85)^t$$ What is the best interpretation of the statement $$V(3)\approx6018$$?

    • The laptop loses $$\$6,018$$ every year.
    • Three years after purchase, the laptop is worth approximately $$\$6,018$$.
    • The laptop decreases in value by $$\$6,018$$ after 3 years.
    • The laptop is worth $$\$6,018$$ before it is purchased.

14. The function is defined by: $$g(x)=2\sqrt{x}-5$$ What is the value of $$g(49)$$?

    • 9

15. A right triangle has a hypotenuse of $$17$$ inches and one leg measuring $$8$$ inches. What is the length of the other leg?

    • $$9$$
    • $$15$$
    • $$16$$
    • $$19$$

16. The equation: $$52a+b=c$$ relates positive real numbers $$a$$, $$b$$, and $$c$$. Which equation correctly expresses $$a$$ in terms of $$b$$ and $$c$$?

    • $$a=\frac{c-b}{52}$$
    • $$a=\frac{c+b}{52}$$
    • $$a=52(c-b)$$
    • $$a=\frac{c}{52b}$$

17. How many seconds are there in $$2.5$$ hours?

    • 9000

18. A scatterplot shows the relationship between $$x$$ and $$y$$, together with a line of best fit. The line passes approximately through $$(0,3)$$ and $$(10,18)$$. Which value is closest to the slope of the line of best fit?

    • $$-1.5$$
    • $$1.5$$
    • $$-15$$
    • $$15$$

19. What is the product of the solutions to $$3x^2-14x+8=0$$?

    • $$\frac83$$
    • $$\frac{14}{3}$$
    • $$8$$
    • $$14$$

20. Enrollment at a recreation center decreased by $$25\%$$ from one year to the next and then increased by $$20\%$$ the following year. What was the overall percent change from the original enrollment?

    • $$5\%$$ decrease
    • $$10\%$$ decrease
    • $$15\%$$ decrease
    • $$20\%$$ decrease

21. A linear function is defined by: $$f(x)=mx+18$$ If $$f(6)=54$$, what is the value of $$f(12)$$?

    • 90

22. If $$9x^2+15x-14=0$$, what is the greatest value of $$9x^2+3x$$?

    • 42