Mini Exam 2 — Timed Mini Exams

Questions in this quiz (10)

1. If $$f(x)=2x^2-3x+k$$ and $$f(2)=10$$, what is $$f(4)$$?

   • $$22$$
   • $$24$$
   • $$26$$
   • $$28$$

2. The ratio of red to blue marbles in a bag is $$3:5$$. After $$8$$ red marbles are added, the ratio becomes $$1:1$$. How many marbles were originally in the bag?

   • $$32$$
   • $$40$$
   • $$48$$
   • $$56$$

3. A right triangle has legs of length $$x$$ and $$x+6$$. The perimeter of the triangle is $$36$$. What is the length of the hypotenuse?

   • $$12$$
   • $$15$$
   • $$18$$
   • $$24$$

4. A substance decreases by $$20\%$$ each year. If the initial amount is $$250$$ grams, how many grams remain after $$2$$ years, rounded to the nearest whole number?

   • $$128$$
   • $$144$$
   • $$160$$
   • $$170$$

5. Tickets to a show cost $$12$$ for students and $$18$$ for adults. If $$150$$ tickets were sold for a total of $$2340$$, how many student tickets were sold?

   • $$60$$
   • $$70$$
   • $$80$$
   • $$90$$

6. The function $$f(x)=-x^2+6x+1$$ has a maximum value of:

   • $$8$$
   • $$9$$
   • $$10$$
   • $$11$$

7. The quadratic function $$y=ax^2+bx+5$$ has a vertex at $$x=2$$. Which of the following must be true?

   • $$b=2a$$
   • $$b=-2a$$
   • $$b=-4a$$
   • $$b=4a$$

8. If $$f(x)=x^2-4x$$ and $$g(x)=f(x)+6$$, which of the following describes the graph of $$g$$ relative to $$f$$?

   • Shifted right $$6$$ units
   • Shifted left $$6$$ units
   • Shifted up $$6$$ units
   • Reflected over the $$x$$-axis

9. A rectangle has a length that is $$3$$ units greater than twice its width. If the area of the rectangle is $$90$$ square units, what is the perimeter?

   • $$36$$
   • $$38$$
   • $$42$$
   • $$48$$

10. $$y=2x+k$$$$y=-x+7$$If the solution has an $$x$$-coordinate of $$2$$, what is the value of $$k$$?

    • $$1$$
    • $$2$$
    • $$3$$
    • $$4$$