Full Practice Exam 7 — Module 1

Questions in this quiz (21)

1. If $$t^3=-8$$, what is the value of $$t^2$$?

   • 4

2. A line shown in the $$xy$$-plane. Which of the following could be the equation of the line?

   • $$y=-2x+1$$
   • $$y=-\frac32x+2$$
   • $$y=-\frac23x+1$$
   • $$y=-\frac23x+2$$

3. $$x-\frac{y}{5}=2$$$$24x+2y=82$$If $$(x,y)$$ is a solution to the system of equations, what is the value of $$x$$?

   • 3

4. The table shows the numbers of 11th-grade and 12th-grade students enrolled in three science classes. Each student is enrolled in only one science class.What percent of the students enrolled in Physics are in 11th grade?

   • $$20\%$$
   • $$30\%$$
   • $$40\%$$
   • $$50\%$$

5. A scatterplot shows the relationship between two variables, $$x$$ and $$y$$. A line of best fit is also shown. Which equation best represents the line of best fit?

   • $$y=-0.75x-2.75$$
   • $$y=-0.75x+2.75$$
   • $$y=0.75x-2.75$$
   • $$y=0.75x+2.75$$

6. The host of a birthday party makes a punch consisting of apple juice and cherry juice. The equation $$1.9a+2.2c=13.9$$ models the ingredients in the punch, where $$a$$ is the volume of apple juice, in liters, and $$c$$ is the volume of cherry juice, in liters. If there are 5 liters of apple juice in the punch, how many liters of cherry juice are in the punch?

   • 2

7. Which expression is equivalent to $$x^2+15x-54?$$

   • $$(x-9)(x+6)$$
   • $$(x-3)(x+18)$$
   • $$(x+3)(x-18)$$
   • $$(x+9)(x-6)$$

8. Abigail creates a pricing plan for her job as a piano teacher. She charges a one-time registration fee to every student before lessons begin. The equation $$C=40h+100$$ represents the total amount, $$C$$, in dollars, that Abigail charges for $$h$$ hours of lessons. Which of the following is the best interpretation of the number 40 in this context?

   • The hourly rate for lessons, in dollars
   • The amount of the registration fee, in dollars
   • The total amount, in dollars, Abigail charges for a one-hour lesson
   • The total amount, in dollars, Abigail charges for 40 hours of lessons

9. The table shows the results of a survey of 300 people who were asked how many cars they had owned in their lifetimes.If one person is selected at random, what is the probability that the person has owned 3–4 cars?

   • $$\frac{2}{25}$$
   • $$\frac{3}{20}$$
   • $$\frac15$$
   • $$\frac25$$

10. The table displays the temperature each day for a week in a certain town in mid-April.What was the median temperature during the week shown, in degrees Fahrenheit?

    • $$53$$
    • $$54$$
    • $$55$$
    • $$58$$

11. The function $$f$$ is defined by the equation $$f(x)=3x^2+3.$$ For which of the following values of $$x$$ does $$f(x)=15$$?

    • $$2$$
    • $$3$$
    • $$6$$
    • $$678$$

12. The function $$f$$ is defined by: $$f(x)=x^2+8x+23$$ The graph of $$f(x)$$ in the $$xy$$-plane reaches its minimum at $$(a,b)$$. What is the value of $$a$$?

    • -4

13. What is the area, in square inches, of a square with a side length of 26 inches?

    • $$52$$
    • $$104$$
    • $$338$$
    • $$676$$

14. In triangle $$ABC$$, point $$D$$ lies on segment $$AC$$ and $$BD$$ is perpendicular to $$AC$$. The measure of angle $$ABD$$ is $$q^\circ$$, the measure of angle $$DBC$$ is $$2q^\circ$$, and the measure of angle $$BAD$$ is $$p^\circ$$. If angle $$BCD$$ measures $$20^\circ$$, what is the value of $$p$$?

    • $$50$$
    • $$55$$
    • $$60$$
    • $$70$$

15. A sphere has a radius of $$r_1$$. A second sphere has a radius of $$r_2$$. If the volume of the second sphere is 8 times the volume of the first sphere, which expression represents $$r_2$$ in terms of $$r_1$$?

    • $$r_2=\frac12r_1$$
    • $$r_2=2r_1$$
    • $$r_2=6r_1$$
    • $$r_2=8r_1$$

16. A line shown in the $$xy$$-plane has a slope of 2. What is the slope of the line after it is reflected over the $$y$$-axis?

    • $$-3$$
    • $$-2$$
    • $$1$$
    • $$2$$

17. When an object is in motion, its velocity $$v$$ is related to its kinetic energy $$E$$ and its mass $$m$$ by the formula $$v=\sqrt{\frac{2E}{m}}.$$ The velocity of an object with mass $$m_2$$ is twice the velocity of an object with mass $$m_1$$, and the kinetic energies of both objects are equal. What is the ratio $$\frac{m_1}{m_2}?$$

    • 4

18. If $$x\sqrt3+\sqrt7=\sqrt9,$$ then $$x$$ is approximately equal to which of the following?

    • $$0.20$$
    • $$0.42$$
    • $$1.42$$
    • $$1.68$$

19. Jean scores 97, 88, 56, 91, and 78 on her first five tests. She wants her average to be at least 80 after she takes her sixth test. What must her score $$x$$ be on the sixth test to achieve her goal?

    • $$x\ge480$$
    • $$x$$ < $$70$$
    • $$x\le480$$
    • $$x\ge70$$

20. A graph shows that the population of Pearl City was 2.5 million in 1925, 1.5 million in 1950, and 1.5 million in 2000. From 2000 to 2014, the population increased by the same percentage as the population decreased from 1925 to 1950. What was the population, in millions, in 2014?

    • $$2.1$$
    • $$1.2$$
    • $$1,500,000$$
    • $$2,100,000$$

21. A soda company conducted a survey. The results are shown below. Of all those who like Soda-1, what percentage are in the 1–10 age group?

    • $$48.18\%$$
    • $$51.82\%$$
    • $$62.25\%$$
    • $$71.59\%$$