Timed Mini Exam 53 — Timed Mini Exams

Questions in this quiz (10)

1. Builders often use lumber called $$2$$-by-$$4$$s for house construction. The numbers refer to the cross-sectional dimensions of the wood before it is dried and planed. In fact, a $$2$$-by-$$4$$ is only $$1\frac{1}{2}$$ inches by $$3\frac{1}{2}$$ inches. The illustration shows three $$2$$-by-$$4$$s that are nailed together to form a corner column of a house. What is the total depth, in inches, of the three boards?

   • $$3$$ inches
   • $$4\frac{1}{2}$$ inches
   • $$9$$ inches
   • $$10\frac{1}{2}$$ inches

2. The population of a county is $$758{,}420$$. Experts estimate that approximately $$10\%$$ of the population moved to the county from other countries. About how many residents moved from other countries?

   • About $$58{,}000$$ residents
   • About $$68{,}000$$ residents
   • About $$86{,}000$$ residents
   • About $$76{,}000$$ residents

3. One cubic foot holds approximately $$7.5$$ gallons of water. Approximately how many gallons are required to fill a rectangular pool that is $$24$$ feet long, $$18$$ feet wide, and $$5$$ feet deep?

   • $$16{,}200$$ gallons
   • $$14{,}400$$ gallons
   • $$18{,}000$$ gallons
   • $$21{,}600$$ gallons

4. According to the graph, industry and transportation together produce what fraction of warming-gas emissions?

   • $$\frac{1}{5}$$
   • $$\frac{1}{4}$$
   • $$\frac{3}{5}$$
   • $$\frac{3}{4}$$

5. The vertex angle of an isosceles triangle measures $$58$$ degrees. What is the measure of each base angle?

   • $$58$$ degrees
   • $$61$$ degrees
   • $$64$$ degrees
   • $$122$$ degrees

6. What is the sum of angles $$a$$, $$b$$, $$c$$, and $$d$$?

   • $$90$$ degrees
   • $$180$$ degrees
   • $$270$$ degrees
   • $$360$$ degrees

7. Each wheel of a vehicle has a diameter of $$2$$ feet. In $$1000$$ revolutions of the wheels, approximately how far does the vehicle travel?

   • Between $$1$$ and $$2$$ miles
   • Less than $$1$$ mile
   • Between $$2$$ and $$3$$ miles
   • Between $$3$$ and $$4$$ miles

8. The volume of a rectangular solid is represented by $$V=lwh$$, where $$l$$ is the length, $$w$$ is the width, and $$h$$ is the height. Which equation expresses $$h$$ in terms of $$V$$, $$l$$, and $$w$$?

   • $$h=Vlw$$
   • $$h=V-lw$$
   • $$h=\frac{V}{lw}$$
   • $$h=lw-V$$

9. Which expression is equivalent to $$9p(p-4)$$?

   • $$9p^2-4$$
   • $$9p^2-36p$$
   • $$9p-36$$
   • $$36p^2-9p$$

10. Which values are the solutions to $$x^2-2x-48=0$$?

    • $$x=-8$$ and $$x=6$$
    • $$x=12$$ and $$x=-4$$
    • $$x=8$$ and $$x=-6$$
    • $$x=-12$$ and $$x=4$$