Mini Exam 5 — Timed Mini Exams

Questions in this quiz (10)

1. A gardener has $$80$$ to buy supplies. The gardener needs to buy both bags of soil and bags of fertilizer. Bags of soil cost $$9.50$$ each, and bags of fertilizer cost $$12.75$$ each. If $$s$$ represents the number of bags of soil and $$f$$ represents the number of bags of fertilizer, which of the following systems of inequalities models this situation?

   • 9.50s + 12.75f ≥ 80 s + f ≤ 1
   • 9.50s + 12.75f ≤ 80 s + f ≤ 1
   • 9.50s + 12.75f ≥ 80s ≥ 1f ≥ 1
   • 9.50s + 12.75f ≤ 80s ≥ 1f ≥ 1

2. In the expression below, $$b$$ is an integer.$$10x^2+bx-24$$If $$5x-6$$ is a factor of the expression above, what is the value of $$b$$?

   • 15
   • 8
   • 14
   • 12

3. Marcus practiced playing the guitar for three times as many minutes on Saturday as he did on Sunday. He practiced for a total of 2 hours and 40 minutes over those two days. For how many minutes did Marcus practice on Saturday?

   • $$80$$
   • $$120$$
   • $$140$$
   • $$180$$

4. When the equation $$y=-3x+k$$, where $$k$$ is a constant, is graphed in the $$xy$$-plane, the line passes through the point $$(4,2)$$. What is the value of $$k$$?

   • $$-10$$
   • $$-4$$
   • $$8$$
   • $$14$$

5. $$(2x^2y-4xy^2+6y^2)-(-x^2y+5xy^2-2y^2)$$Which of the following is equivalent to the expression above?

   • $$3x^2y+xy^2+4y^2$$
   • $$3x^2y+9xy^2+8y^2$$
   • $$x^2y+xy^2-8y^2$$
   • $$3x^4y+2xy^4-6y^2$$

6. The table below shows the population of a small city over a 4-year period.Which of the following best describes the type of model that fits the data in the table?

   • Linear, increasing by approximately 1500 people per year
   • Linear, increasing by approximately 1275 people per year
   • Exponential, increasing by approximately 3% each year
   • Exponential, increasing by approximately 9% each year

7. Which of the following describes the solution to the equation below?$$6x-\frac{1}{3}x+5=4\left(\frac{1}{3}x+5\right)$$

   • $$\frac{47}{13}$$
   • $$\frac{13}{47}$$
   • $$3\frac{6}{13}$$
   • $$\frac{3}{13}$$

8. A circle is graphed in the xy-plane. If the circle has a radius of $$5$$ and the center of the circle is at $$(-2,3)$$, which of the following could be an equation of the circle?

   • $$(x-2)^2-(y-3)^2=5$$
   • $$(x+2)^2-(y-3)^2=25$$
   • $$(x+2)^2+(y-3)^2=25$$
   • $$(x-2)^2+(y+3)^2=5$$

9. In a school's robotics club, the ratio of boys to girls is approximately $$3:4$$. If there are about $$140$$ students in the club, which of the following is the best estimate of the number of girls in the club?

   • $$45$$
   • $$60$$
   • $$80$$
   • $$100$$

10. A college advisor tracked the number of students who joined an internship program over a 12-month period. The graph above shows how the number of participating students changed each month. During which of the following periods was the increase in the number of students in the internship program greatest?

    • Months 1 through 3
    • Months 3 through 6
    • Months 6 through 9
    • Months 10 through 12