Mini Exam 8 — Timed Mini Exams

Questions in this quiz (10)

1. At a certain high school, the distribution of GPAs for 10th-grade students is shown below:42% have a GPA below $$2.5$$27% have a GPA between $$2.5$$ and $$3.0$$The rest have a GPA of $$3.0$$ or greaterIf a 10th-grade student is chosen at random, what is the closest probability that the student will have a GPA of $$3.0$$ or greater?

   • $$0.31$$
   • $$0.45$$
   • $$0.58$$
   • $$0.73$$

2. A recipe calls for a total of 6 cups of a seasoning mixture.The mixture must be made using only tablespoons and teaspoons, where:1 cup = 16 tablespoons1 tablespoon = 3 teaspoonsIf the chef already added 28 tablespoons of the mixture,how many additional teaspoons are still needed to reach the required 6 cups?

   • $$120$$
   • $$68$$
   • $$96$$
   • $$204$$

3. In the figure above, determine the value of $$\tan a$$.

   • $$\frac{12}{20}$$
   • $$\frac{20}{12}$$
   • $$\frac{1}{2}$$
   • $$\frac{3}{4}$$

4. A linear function $$g$$ has slope $$-4$$ and passes through $$(2,7)$$. A second linear function $$h$$ has slope half of $$-4$$ and passes through $$(-1,5)$$. At what value of $$x$$ do the graphs of $$g$$ and $$h$$ intersect?

   • $$6$$
   • $$15$$
   • $$12$$
   • $$6$$

5. The point $$(1.5,6.2)$$ appears on a height-versus-time graph of a ball launched upward. Which statement best describes this point?

   • $$6.2$$ seconds after launch, the height is $$1.5$$ meters
   • $$1.5$$ seconds after launch, the height is $$6.2$$ meters
   • Initial height $$1.5$$ meters and velocity $$6.2$$ m/s
   • Initial height $$6.2$$ meters and velocity $$1.5$$ m/s

6. Lines $$(A)$$ and $$(B)$$ are parallel. Line $$(C)$$ intersects both. Which statement must be true?

   • $$a$$ < $$115$$
   • $$a$$>$$115$$
   • $$a+b$$ < $$180$$
   • $$a+b$$>$$180$$

7. If the graph of $$f(x)=\frac{b-7}{x}+4$$ is translated $$5$$ units up and $$6$$ units left to get $$g(x)$$. Find the equation of $$g(x)$$.

   • $$\frac{b-7}{x-6}+9$$
   • $$\frac{b-12}{x+6}+4$$
   • $$\frac{b-12}{x-6}+4$$
   • $$\frac{b-7}{x+6}+9$$

8. A box plot summarizes $$17$$ data values. What is the median of the data set?

   • $$4$$
   • $$6$$
   • $$7$$
   • $$12$$

9. A machine sorts $$18$$ pounds of nuts in $$6$$ minutes. How many minutes are needed to sort $$90$$ pounds?

   • $$30$$
   • $$24$$
   • $$20$$
   • $$36$$

10. The side length of a square garden is $$72\%$$ of its diagonal length $$d$$. Which expression represents the side length?

    • $$72d$$
    • $$0.072d$$
    • $$7.2d$$
    • $$0.72d$$