Full Practice Exam 4 — Module 1

Questions in this quiz (22)

1. Solve for $$x$$: $$3x-7=11$$

   • $$2$$
   • $$3$$
   • $$6$$
   • $$9$$

2. A store sells pens for $$\$2$$ each and notebooks for $$\$5$$ each. If Maria buys 3 pens and 2 notebooks, how much does she spend?

   • $$\$10$$
   • $$\$11$$
   • $$\$16$$
   • $$\$19$$

3. Which equation represents a line with slope $$-\frac12$$ and $$y$$-intercept $$4$$?

   • $$y=-\frac12x+4$$
   • $$y=2x+4$$
   • $$y=\frac12x-4$$
   • $$y=-2x+4$$

4. $$2x+y=10$$ $$x-y=1$$Solve the system.

   • $$(3,4)$$
   • $$(4,2)$$
   • $$(2,6)$$
   • $$\left(\frac{11}{3},\frac83\right)$$

5. If $$f(x)=2x^2-3x+1$$, what is $$f(4)$$?

   • $$21$$
   • $$23$$
   • $$25$$
   • $$27$$

6. Solve for $$x$$: $$\frac{x-2}{4}=3$$

   • $$10$$
   • $$12$$
   • $$14$$
   • $$20$$

7. Which quadratic has zeros at $$x=3$$ and $$x=-2$$?

   • $$x^2-x-6$$
   • $$x^2+5x+6$$
   • $$x^2-6x+9$$
   • $$x^2+2x-15$$

8. A parabola has vertex $$(0,-4)$$ and passes through $$(2,0)$$. Which equation represents the parabola?

   • $$y=x^2-4$$
   • $$y=x^2+4$$
   • $$y=-x^2-4$$
   • $$y=x^2-2x-4$$

9. Solve for $$x$$: $$2^{x+1}=16$$

   • $$2$$
   • $$3$$
   • $$4$$
   • $$5$$

10. Which inequality represents the statement “twice a number minus 5 is at least 7”?

    • $$2x-5\le7$$
    • $$2x-5\ge7$$
    • $$2x+5\ge7$$
    • $$2x+5\le7$$

11. A survey shows that $$60\%$$ of students like soccer. If 300 students were surveyed, how many students liked soccer?

    • $$120$$
    • $$150$$
    • $$180$$
    • $$200$$

12. The mean of 5 numbers is 8. If four of the numbers are 6, 7, 9, and 12, what is the fifth number?

    • $$5$$
    • $$6$$
    • $$8$$
    • $$10$$

13. A museum had 120 visitors on Day 1, 150 visitors on Day 2, 100 visitors on Day 3, and 130 visitors on Day 4. What was the mean number of visitors per day?

    • $$120$$
    • $$125$$
    • $$130$$
    • $$135$$

14. The area of a rectangle is 60 square units. If its length is 12 units, what is its width?

    • $$4$$
    • $$5$$
    • $$6$$
    • $$10$$

15. The Pythagorean theorem applies to which type of triangle?

    • All triangles
    • All quadrilaterals
    • Right triangles only
    • Isosceles triangles only

16. A circle has radius 7 units. What is its circumference? Use $$\pi=3.14$$.

    • $$21.98$$
    • $$31.4$$
    • $$43.96$$
    • $$49$$

17. In a right triangle, if $$\sin\theta=\frac35$$, what is $$\cos\theta$$?

    • $$\frac35$$
    • $$\frac45$$
    • $$\frac53$$
    • $$\frac{12}{13}$$

18. The volume of a cylinder is given by $$V=\pi r^2h$$. If $$r=3$$ and $$h=10$$, what is the volume?

    • $$30\pi$$
    • $$60\pi$$
    • $$90\pi$$
    • $$100\pi$$

19. The students in four grades at TopTalent High School are represented in a pie chart. If the difference between the total number of students in the eleventh and twelfth grades and the total number of students in the ninth and tenth grades is 100, how many students are at the school?

    • $$100$$
    • $$200$$
    • $$300$$
    • $$500$$

20. Consider the two data sets below. Set 1: $$105,106,107,108,110$$ Set 2: $$11,26,47,59,84$$ Which statement is true?

    • Set 1 has a higher standard deviation
    • Set 2 has a higher standard deviation
    • Set 2 has two modes
    • Set 1 has a range of 105

21. A follow-up survey was conducted among students who said that they liked neither soda brand. A random sample of 125 students had an average weight of 85 pounds. What is the most likely estimate of the average weight of all 1,014 students who do not like either soda?

    • 85

22. An opinion poll asked engineers and doctors whether they support a new tax on their profession. The stacked bar chart shows that approximately $$20\%$$ of engineers support the tax, while approximately $$30\%$$ of doctors support the tax. Which inference can be drawn from the poll?

    • Both engineers and doctors support taxes equally
    • More engineers than doctors were polled
    • There is no relation between professionals and their opinion on taxes
    • There appears to be a relation between professionals and their opinion on taxes