Mini Exam 17 — Timed Mini Exams

Questions in this quiz (10)

1. A sample of a metal mixture has a total mass of $$60.0$$ grams and is $$40.0\%$$ copper by mass. The sample was made by combining two different metal pieces. The first piece was $$25.0\%$$ copper by mass, and the second piece was $$70.0\%$$ copper by mass. What was the mass, in grams, of the copper in the second piece?

   • 14
   • 20
   • 9
   • 24

2. A line passes through the point $$(4,-3)$$ and is parallel to the graph of $$y=-6x+10.$$ This line intersects the x-axis at the point $$(a,0).$$ What is the value of $$a$$?

   • $$-6$$
   • $$21$$
   • $$\frac{7}{2}$$
   • $$0$$

3. $$(2x-3)-5(2y+4)=146$$$$(2x-3)+5(2y+4)=286$$The solution to the given system of equations is $$(x,y).$$ What is the value of $$8(2x-3)?$$

   • $$432$$
   • $$109$$
   • $$732$$
   • $$1728$$

4. A survey was given to residents of all $$50$$ states asking if they had earned a bachelor’s degree or higher. The median percent of residents who earned a bachelor’s degree or higher for all $$50$$ states was $$27.80\%.$$ What is the difference between the median percent for these $$7$$ states and the median for all 50 states?

   • $$8.90\%$$
   • $$5.80\%$$
   • $$0.70\%$$
   • $$8.20\%$$

5. The graph of the rational function $$f$$ is shown, where $$y=f(x)$$ and $$x\ge0$$. Which of the following is the graph of $$y=f(x)+5$$, where $$x\ge0$$?

6. A theater has seats for $$2000$$ people. Tickets to attend a performance currently cost $$6.00$$. For each $$1.50$$ increase in ticket price, $$120$$ fewer tickets will be sold. The expected revenue from ticket sales, in dollars, can be modeled by $$R(x)=-108x^2+2160x+12000$$, where $$x$$ represents the number of $$1.50$$ increases in ticket price. If the function is graphed in the $$xy$$-plane, at what value of $$x$$ is the maximum revenue reached?

   • $$5$$
   • $$7$$
   • $$10$$
   • $$15$$

7. The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side. A triangle has side lengths of $$x, 9, 17$$. Which inequality represents all possible values of $$x$$ for which these three lengths can form a triangle?

   • $$x$$ > $$26$$
   • $$x$$ < $$8$$ or $$x$$ > $$26$$
   • $$x$$ < $$17$$
   • $$8$$ < $$x$$ < $$26$$

8. The table shows the distribution of ages of $$25$$ students enrolled in a cooking class. Which of the following gives the correct order of the mean, median, and mode of the ages?

   • mode < median < mean
   • median < mean < mode
   • mean < mode < median
   • median < mode < mean

9. The graph of the linear function $$y=g(x)-15$$ is shown. If $$m$$ and $$n$$ are positive constants, which equation could define $$g(x)$$?

   • $$g(x)=-n-mx$$
   • $$g(x)=n-mx$$
   • $$g(x)=-n+mx$$
   • $$g(x)=n+mx$$

10. The value of a rare vintage toy increased by 120% from the end of 2018 to the end of 2019 and then decreased by 25% from the end of 2019 to the end of 2020. What was the net percentage change in the value of the toy from the end of 2018 to the end of 2020?

    • $$95\%$$ increase
    • $$65\%$$ increase
    • $$55\%$$ increase
    • $$55\%$$ decrease