Mini Exam 1 — Timed Mini Exams

Questions in this quiz (10)

1. Olivia jogs east from her house at a constant speed of 6 miles per hour. Her brother leaves the same house 1.5 hours later, running east at a constant speed of 9 miles per hour. How long will it take him, in hours, to catch up to Olivia?

   • $$2$$
   • $$3$$
   • $$4$$
   • $$\frac{11}{2}$$

2. If $$(x-3)(x+2)=0$$, find the values of $$x.$$I. 3II. -2III. -3IV. 2

   • I and III
   • II and IV
   • I and II
   • III and IV

3. $$w=\frac{l}{5}$$$$h=2w$$An architect determined that a tower he is designing has ideal proportions when its length $$l$$, width $$w$$, and height $$h$$ are defined by the equations above. If he wants to construct a tower with a height of 20 meters, what should be the length of the tower, in meters?

   • $$25$$
   • $$40$$
   • $$50$$
   • $$60$$

4. If the sum of two consecutive integers is 21, what is their product?

   • $$100$$
   • $$110$$
   • $$120$$
   • $$132$$

5. In RNA analysis, a laboratory machine can process 2000 nucleotides for 25 cents. A researcher wants to analyze an RNA strand containing 160000 nucleotides from each of 50 samples. How much will it cost in total to process all the samples?

   • $500
   • $1000
   • $2000
   • $2500

6. Which of the following equations describes the chart above?

   • $$f(x)=4-x^2$$
   • $$f(x)=x^2-4$$
   • $$f(x)=x^2+4$$
   • $$f(x)=x^2-2x$$

7. What is the length of $$MN$$ in the figure above?

   • $$5$$
   • $$4$$
   • $$6$$
   • $$5\sqrt{2}$$

8. $$3x^2+x=20$$Which of the following corresponds to a value of $$x$$?

   • $$\frac{-1+\sqrt{241}}{6}$$
   • $$\frac{-1}{6}$$
   • $$\frac{1}{2}$$
   • $$6$$

9. The graph above shows the student participation for 4 school sports. Each student is allowed to participate in only one sport. If the school has 250 students, how many students are not participating in a sport?

   • $$20$$
   • $$30$$
   • $$40$$
   • $$50$$

10. A contractor receives a 12% discount from Mike's Hardware and a 10% discount from Ava's Hardware. The table below shows the prices of tools at each store.How much less would the contractor pay, in dollars, to buy a drill and circular saw from Mike's Hardware than from Ava's Hardware?

    • $$9.45$$
    • $$10.5$$
    • $$2.10$$
    • $$5.40$$