Mini Exam 17 — Timed Mini Exams

Questions in this quiz (7)

1. If $$f(x)=4x^2-5$$ and $$f(x+a)=4x^2+16x+11$$, what is the value of $$a$$?

   • $$-4$$
   • $$-2$$
   • $$2$$
   • $$4$$

2. $$g(x)=3x-4$$$$h(x)=2-g(2x)$$The functions $$g$$ and $$h$$ are defined above. What is the value of $$h(-1)$$?

   • $$-3$$
   • $$-1$$
   • $$5$$
   • $$12$$

3. $$(ax-2)(4x^2+bx-3)=16x^3+12x^2-22x+6$$The equation above is true for all values of $$x$$, where $$a$$ and $$b$$ are constants. What is the value of $$ab$$?

   • $$-12$$
   • $$-8$$
   • $$6$$
   • $$20$$

4. A group of friends planned to split the $$1200$$ cost of a vacation equally. Before paying, $$3$$ friends dropped out, and the remaining friends split the cost equally. As a result, each remaining person paid $$30$$ more than originally planned. How many friends were in the group originally?

   • $$10$$
   • $$12$$
   • $$15$$
   • $$18$$

5. In a circle with center $$O$$, the measure of central angle $$AOB$$ is $$\frac{7\pi}{6}$$ radians. A sector formed by this angle is removed from the circle. What fraction of the remaining area of the circle is the area of the removed sector?

   • $$\frac{7}{12}$$
   • $$\frac{7}{5}$$
   • $$\frac{7}{11}$$
   • $$\frac{7}{6}$$

6. Maria drives an average of $$180$$ miles each week. Her car averages $$30$$ miles per gallon, and gasoline costs $$5$$ dollars per gallon. She wants to reduce her weekly gasoline spending by $$15$$ dollars. Assuming gas price and fuel efficiency remain constant, which equation can Maria use to determine how many fewer average miles, $$m$$, she should drive each week?

   • $$\frac{5}{30}m=15$$
   • $$\frac{30}{5}m=15$$
   • $$\frac{5}{30}(180-m)=15$$
   • $$\frac{30}{5}(180-m)=15$$

7. The figure above shows a standard normal distribution with mean of $$160$$ and standard deviation $$d$$, including approximate percents of the distribution corresponding to the regions shown. If the value $$148$$ is at the $$12$$th percentile of the distribution, which of the following is the best estimate of the standard deviation $$d$$ of the distribution?

   • $$10$$
   • $$12$$
   • $$14$$
   • $$16$$