Timed Mini Exam 28 — Timed Mini Exams

Questions in this quiz (10)

1. A formula for the surface area A of the rectangular solid shown below is $$A=2lw+2lh+2wh$$ where l represents length, w width, and h height. By doubling each of the dimensions (l, w, and h), the surface area will be multiplied by what factor?

   • 2
   • 4
   • 6
   • 8

2. A cat drinks 9 bowls of milk in 6 days. At this rate, how many bowls of milk does the cat drink in $$6+d$$ days?

   • $$7+\frac{13d}{2}$$
   • $$\frac{7}{3}+\frac{13d}{2}$$
   • $$\frac{18+3d}{2}$$
   • $$9+\frac{d}{2}$$

3. Kelly asked 120 students questions about skiing. The results of the poll are shown in the table below. After completing the poll, Kelly wondered how many of the students polled had skied both cross-country and downhill. How many of the students polled indicated that they had skied both cross-country and downhill?

   • 8
   • 28
   • 35
   • 37

4. If $$n$$ is a negative number and $$p$$ is a positive number, which of the following is the lowest?

   • $$np^2$$
   • $$p-2n$$
   • $$(p+n)^2$$
   • $$pn^2$$

5. $$\frac{ax^3+bx^2+cx+d}{(x^2-9)(x+2)}=\frac{5}{x+3}+\frac{6x}{x-3}$$What is the value of $$a+b+c$$?

   • 31
   • 35
   • 65
   • 72

6. $$a\text{ is }540\%\text{ more than }b\text{ and }b\text{ is }0.02\%\text{ of }c.$$ If $$a\text{ is }k\%\text{ of }c,$$ then what must $$k$$ equal?

   • 0.002
   • 0.64
   • 6.4
   • 0.128

7. $$(hx+k)(qx+z)=ax^2+bx+35$$For the expression above, $$h,k,q,z$$are all integer constants.Which of the following must be an integer?I. $$\frac{35}{k}$$II. $$b$$III. $$-\frac{a}{q}$$

   • I, II only
   • I, III only
   • II, III only
   • I, II, and III

8. Given the quadratic function:$$f(x)=-3x^2+bx+c$$where $$b$$ and $$c$$ are constants. The graph of $$y=f(x)$$ in the xy-plane is a parabola with a vertex at the point $$(h,k)$$. It is given that $$f(-4)=f(8)$$, and the quadratic function has x-intercepts at $$(r,0)$$ and $$(s,0)$$. Which of the following statements must be true?I. $$r+s=4$$II. $$b$$ < $$0$$III. $$c$$ < $$k$$

   • I and II only
   • I and III only
   • II and III only
   • I, II and III

9. In the xy-plane, the graph of $$x^2+6x+y^2+2y=15$$ is a circle. Line $$k$$ is tangent to this circle at the point $$(a,b)$$ and has a slope of $$\frac{3}{4}$$. What is the value of $$b$$?

   • $$b=6 \quad \text{or} \quad b=-1$$
   • $$b=3 \quad \text{or} \quad b=-5$$
   • $$b=-1 \quad \text{or} \quad b=-6$$
   • $$b=-3 \quad \text{or} \quad b=-6$$

10. The frequency table below summarizes data set A. Data set B is created by multiplying all of the values in data set A by 2. Which of the following must be true?I. The difference between the mean and median of data set B is 0.II. The standard deviation of data set B is equal to the standard deviation of data set A.III. The range of data set B is double the range of data set A.

    • I and II only
    • I and III only
    • II and III only
    • I, II and III