Timed Mini Exam 8 — Timed Mini Exams

Questions in this quiz (10)

1. Which of the following is the product of $$(2x^2-3)(x^2-5)$$?

   • $$2x^4-13x^2+15$$
   • $$2x^4+10x^2-15$$
   • $$2x^4-10x^2+15$$
   • $$2x^4+13x^2-15$$

2. Reduce $$\frac{x^6y^{10}}{x^3y^2z^5}$$ to its simplest terms

   • $$x^3y^5z^5$$
   • $$\frac{x^2y^5}{z^5}$$
   • $$\frac{x^3y^8}{z^5}$$
   • $$\frac{x^{-2}y^5}{z^5}$$

3. Which value of n satisfies $$\log_n81=2$$?

   • $$8$$
   • $$36$$
   • $$9$$
   • $$12$$

4. A survey of 800 middle school students asked for their favorite ice cream flavor. Of the students, 300 chose chocolate, 150 chose vanilla, 100 chose strawberry, and the rest chose mint. Approximately what percent of the 800 students chose mint? Round to the nearest tenth of a percent.

   • $$18.8\%$$
   • $$25.0\%$$
   • $$43.8\%$$
   • $$31.3\%$$

5. If $$a^2=49$$ and $$b^2=16$$, which of the following cannot be the value of $$a+b$$?

   • $$9$$
   • $$-3$$
   • $$3$$
   • $$11$$

6. A system of equations is given below: $$3y=2x+6$$ $$-3y=-2x+10$$Which description best matches the graph of these equations in the (x,y) plane?

   • Two parallel lines with negative slope
   • Two parallel lines with positive slope
   • A single line with negative slope
   • A single line with positive slope

7. Which of the following is the least common denominator of $$\frac{1}{a^2b^2c}+\frac{1}{ac^2}+\frac{1}{bc^3}$$?

   • $$a.b.c$$
   • $$a^2.b^2.c^3$$
   • $$a^2.b.c$$
   • $$a^2.b^2.c^2$$

8. In the circle, $$O$$ is the center and the intersection point of $$AD$$ and $$BE$$. It is given that $$∠AOB=50°$$ and $$∠DOC=50°$$. Which statement is not true?

   • $$∠ODE=65°$$
   • $$AB=CD$$
   • $$∠AOB=∠DOC$$
   • $$AB=OA$$

9. If the inequality $$|a|$$ < $$|b|$$ is true, which of the following must be true?

   • $$a\ne b$$
   • $$a$$ > $$b$$
   • $$a$$ < $$b$$
   • $$b$$ > $$0$$

10. The figure above shows the plan for the ground floor of a townhouse. The thickness of the walls should be ignored when answering the questions. The dimensions shown are in feet, and each region is rectangular. What is the area, in square feet, of the Living Room?

    • $$360$$
    • $$216$$
    • $$288$$
    • $$168$$