Timed Mini Exam 10 — Timed Mini Exams

Questions in this quiz (10)

1. Which expression is equivalent to $$\frac{3^7}{3^2}$$?

   • $$3^2$$
   • $$3^5$$
   • $$3^9$$
   • $$9^5$$

2. Write the following expression as a simplified fraction:$$\frac13\left(\frac34-\frac18\right)$$

   • $$\frac5{12}$$
   • $$\frac5{24}$$
   • $$\frac7{24}$$
   • $$\frac18$$

3. Suppose $$x$$ is a rational number that satisfies the following equation:$$4(x-2)=12$$Which of the following equations must also be true?

   • $$4x-8=12$$
   • $$4x-2=12$$
   • $$4x+8=12$$
   • $$x-8=12$$

4. For input $$a,$$ a function is defined by:$$f(a)=-3a^2+2$$What is the value of $$f(-5)$$?

   • $$-77$$
   • $$-73$$
   • $$73$$
   • $$77$$

5. Which inequality represents the solution to:$$5x-7$$ < $$3x+9$$

   • $$x$$ < $$8$$
   • $$x$$ > $$8$$
   • $$x$$ < $$1$$
   • $$x$$ > $$1$$

6. Which expression is equivalent to $$(x-4)(3x+2)$$?

   • $$3x^2-10x-8$$
   • $$3x^2-14x-8$$
   • $$3x^2+10x-8$$
   • $$3x^2-10x+8$$

7. What is the greatest possible value of $$x$$ if $$x^2-10x+21=0$$?

   • $$3$$
   • $$5$$
   • $$7$$
   • $$10$$

8. The figure above shows the graph of a function and all of its turning points. How many $$x$$-intercepts does the function have?

   • None
   • $$1$$
   • $$2$$
   • Infinitely many

9. A website sells a tablet computer for $$\$425.00$$ plus $$7.2\%$$ sales tax. A customer purchases two tablets. What is the total cost, including sales tax?

   • $$\$850.00$$
   • $$\$881.20$$
   • $$\$911.20$$
   • $$\$922.40$$

10. Simplify:$$\frac{3}{x(x-1)}+\frac{1}{x-1}$$

    • $$\frac{x+3}{x(x-1)}$$
    • $$\frac{4}{x(x-1)}$$
    • $$\frac{x+3}{x-1}$$
    • $$\frac{x+1}{x(x-1)}$$