Timed Mini Exam 9 — Timed Mini Exams

Questions in this quiz (10)

1. For all $$x$$ > $$0$$, what is the value of $$\frac{2}{x}+\frac{5}{6}?$$

   • $$\frac{2+5x}{6x}$$
   • $$\frac{7}{6x}$$
   • $$\frac{12x+5}{6x}$$
   • $$\frac{12}{6x}$$

2. A right triangle $$ABC$$ with legs of lengths $$a$$ and $$b$$ and hypotenuse $$c$$ is shown. The right angle is at $$B$$. For any such triangle, the expression $$(tan x)(cos y)$$ is equivalent to:

   • $$\frac{a}{c}$$
   • $$\frac{b^2}{ac}$$
   • $$\frac{b}{ac}$$
   • $$\frac{a}{bc}$$

3. In the (x,y) coordinate plane, what is the y-intercept of the line $$4x+2y=10?$$

   • $$\frac{5}{2}$$
   • $$\frac{1}{2}$$
   • $$\frac{2}{5}$$
   • $$5$$

4. If $$\frac{b^m}{b^n}=b^5\quad\text{for all }b\ne0,$$ which of the following must be true?

   • $$\sqrt{mn}=5$$
   • $$m-n=5$$
   • $$mn=5$$
   • $$m+n=5$$

5. At a clothing store, jackets were priced at $$p$$ dollars in January. Each following month, the price was reduced by $$25\%$$ from the previous month. If the price in January was $$p$$ dollars, what was the price in April?

   • $$0.25p$$
   • $$0.75p$$
   • $$0.422p$$
   • $$0.50p$$

6. If $$|7-3x|$$ > $$8$$ which of the following is a possible value of $$x$$?

   • $$2$$
   • $$3$$
   • $$5$$
   • $$7$$

7. Jake can bike 4 miles in y minutes. At that pace, how many minutes would it take him to bike 12 miles?

   • $$3y$$
   • $$6y$$
   • $$9y$$
   • $$12y$$

8. Which of the following expressions will always yield an odd integer for any integer $$n$$?

   • $$2n^2+5$$
   • $$4n^3+2$$
   • $$6n^2+4$$
   • $$8n^4+4$$

9. If $$m≠n$$ what are the real values of k that make the inequality $$\frac{km-kn}{4m-4n}$$ > $$0$$ true?

   • All negative real numbers
   • All positive real numbers
   • $$-\frac{1}{4}$$ only
   • $$\frac{1}{4}$$ only

10. For what value of $$k$$ would the following system of equations have an infinite number of solutions?$$4x+6y=30$$$$8x+12y=2k$$

    • $$15$$
    • $$60$$
    • $$30$$
    • $$45$$