Mini Exam 13 — Timed Mini Exams

Questions in this quiz (10)

1. $$0.45x^2+0.90x+1.35$$The given expression can be rewritten as $$a(5x^2+10x+15),$$ where $$a$$ is a constant. What is the value of $$a?$$

   • $$0.03$$
   • $$0.15$$
   • $$0.09$$
   • $$0.27$$

2. In the figure, parallel lines $$(A)$$ and $$(B)$$ are intersected by lines $$(M)$$ and $$(N)$$. If $$x=35^\circ$$ and $$y=110^\circ$$, what is the value of $$w$$?

   • $$52.5^\circ$$
   • $$60^\circ$$
   • $$70^\circ$$
   • $$75^\circ$$

3. The table shows the distribution, by location and power capacity (maximum rate of power generation) of the eighteen largest solar farms in the United States in 2018.The total power capacity of the seven solar farms located in Arizona was $$3600$$ megawatts (MW), and the total power capacity of all eighteen solar farms was $$9450$$ MW in 2018. The amount of energy produced in one hour at a rate of one megawatt is one megawatt-hour. If each of the seven Arizona solar farms in 2018 had operated continuously for $$18$$ hours at the maximum rate of power generation, approximately how many megawatt-hours of energy would the seven projects have produced?

   • $$2000$$
   • $$3600$$
   • $$1800$$
   • $$64800$$

4. Square $$P$$ has side lengths that are $$27$$ times the side lengths of square $$Q$$. The area of square $$P$$ is m times the area of square $$Q$$. What is the value of $$m$$?

   • $$27$$
   • $$\sqrt{27}$$
   • $$\frac{\sqrt{27}}{2}$$
   • $$729$$

5. A sphere has a radius of $$\frac{9}{4}$$ feet. What is the volume, in cubic feet, of the sphere?

   • $$\frac{27\pi}{16}$$
   • $$\frac{243\pi}{32}$$
   • $$\frac{81\pi}{4}$$
   • $$\frac{6561\pi}{64}$$

6. The exponential function $$h$$ is defined by $$h(x)=25\cdot b^x,$$ where $$b$$ is a positive constant. If $$h(2)=2225,$$ what is the value of $$h(3)$$?

   • $$2225\sqrt{89}$$
   • $$25\sqrt{89}$$
   • $$2225$$
   • $$2225\sqrt{3}$$

7. $$(x-8y)(3x-4y)-10y(-3x+5y)$$Which of the following is equivalent to the expression above?

   • $$3x^2+2xy-18y^2$$
   • $$3x^2-38xy+60y^2$$
   • $$3x^2+14xy-20y^2$$
   • $$3x^2-22xy$$

8. Last year, Marissa had $$48$$ flowers in her garden. This year, the number of flowers in Marissa’s garden is $$75%$$ greater than the number of flowers she had last year. How many flowers does Marissa have in her garden this year?

   • $$48$$
   • $$36$$
   • $$75$$
   • $$84$$

9. A quadratic function models the height, in feet, of a projectile in terms of the time, in seconds, after it is launched from a platform. The model shows that the projectile has an initial height of $$20$$ feet above the ground and reaches its maximum height of $$820$$ feet above the ground $$5$$ seconds after being launched. Based on the model, what is the height, in feet, of the projectile $$7$$ seconds after being launched?

   • $$356$$
   • $$540$$
   • $$684$$
   • $$796$$

10. A cube has a surface area of $$96$$ square centimeters. What is the volume, in cubic centimeters, of the cube?

    • $$64$$
    • $$96$$
    • $$128$$
    • $$216$$