Mini Exam 22 — Timed Mini Exams

Questions in this quiz (10)

1. $$\frac{x}{3}+\frac{y}{4}=5$$$$\frac{x}{2}-\frac{y}{3}=1$$What is the value of $$x$$?

   • $$6$$
   • $$8$$
   • $$12$$
   • $$15$$

2. Which expression is equivalent to $$\frac{x^2-9}{x^2-6x+9}$$?

   • $$\frac{1}{x-3}$$
   • $$\frac{x-3}{x+3}$$
   • $$\frac{x+3}{x-3}$$
   • $$\frac{1}{x+3}$$

3. A box contains $$8$$ red, $$5$$ blue, and $$2$$ yellow marbles. If one marble is chosen at random, what is the probability that it is not blue?

   • $$\frac{1}{3}$$
   • $$\frac{2}{3}$$
   • $$\frac{1}{5}$$
   • $$\frac{1}{10}$$

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

   • $$69$$
   • $$71$$
   • $$97$$
   • $$121$$

5. A cylindrical container has a radius that is increased by $$20$$ percent and a height that is decreased by $$10$$ percent. By what percent does the volume change?

   • $$10\%$$ increase
   • $$4\%$$ decrease
   • $$10\%$$ decrease
   • $$29.6\%$$ increase

6. Triangles $$ABC$$ and $$DEF$$ are similar. If the scale factor from $$ABC$$ to $$DEF$$ is $$3$$ and $$AB=4.5$$ what is the perimeter of triangle DEF if the perimeter of triangle ABC is $$30$$?

   • $$120$$
   • $$90$$
   • $$135$$
   • $$150$$

7. A substance has a half-life of $$6$$ hours. If $$80$$ grams are present initially, how much remains after $$18$$ hours?

   • $$5$$
   • $$10$$
   • $$15$$
   • $$20$$

8. A line has equation $$3x-2y=10$$. Which is the slope of a line perpendicular to this line?

   • $$-\frac{3}{2}$$
   • $$-\frac{2}{3}$$
   • $$\frac{3}{2}$$
   • $$\frac{2}{3}$$

9. A function $$g(x)$$ is shown:Which expression represents $$g(x)$$?

   • $$g(x)=3x^2+1$$
   • $$g(x)=2x+3$$
   • $$g(x)=x+3$$
   • $$g(x)=3x+1$$

10. If $$x^2-11x+30=0$$, what is the larger solution?

    • $$-6$$
    • $$-5$$
    • $$5$$
    • $$6$$