Mini Exam 28 — Timed Mini Exams

Questions in this quiz (10)

1. $$y$$ < $$-\frac{2}{3}x+4$$$$y$$ > $$\frac{2}{3}x-2$$Which point $$(x,y)$$ is a solution to the given system of inequalities in the $$xy$$-plane?

   • $$(6,0)$$
   • $$(0,-2)$$
   • $$(3,5)$$
   • $$(-3,2)$$

2. $$y=3x+5$$$$2y=7x+2$$The solution to the given system of equations is $$(x,y)$$. What is the value of $$x-y$$?

   • -21

3. The function $$h$$ is defined by $$h(x)=a^x+b,$$ where $$a$$ and $$b$$ are positive constants. The graph of $$y=h(x)$$ in the $$xy$$-plane passes through the points $$(0,6)$$ and $$(3,32)$$. What is the value of $$ab$$?

   • 15

4. Which quadratic equation has no real solutions?

   • $$x^2+8x-16=0$$
   • $$x^2+8x+16=0$$
   • $$2x^2+8x+16=0$$
   • $$2x^2+8x-16=0$$

5. $$x^2+5x+y^2-7y=\frac{251}{2}$$In the $$xy$$-plane, the graph of this equation is a circle. What is the length of the circle's radius?

   • 12

6. The function $$f$$ is defined by the given equation: $$f(x)=60(2)^x$$If $$g(x)=f(x-4)$$, which of the following equations defines the function $$g$$?

   • $$g(x)=15(2)^x$$
   • $$g(x)=\frac{1}{4}(2)^x$$
   • $$g(x)=\frac{15}{4}(2)^x$$
   • $$g(x)=60(6)^x$$

7. Which expression is equivalent to $$\frac{y+12}{x-8}+\frac{y(x-8)}{x^2y-8xy}?$$

   • $$\frac{xy+y+4}{x^3y-16x^2y+64xy}$$
   • $$\frac{xy+9y+12}{x^2y-8xy+x-8}$$
   • $$\frac{xy^2+13xy-8y}{x^2y-8xy}$$
   • $$\frac{xy^2+13xy-8y}{x^3y-16x^2y+64xy}$$

8. The scatterplot shows the temperature, in degrees Fahrenheit, and the distance above sea level, in feet, measured at $$6$$ locations on Mount Jefferson. A line of best fit is also shown. At a distance of $$4,000$$ feet above sea level, what is the temperature, in degrees Fahrenheit, predicted by the line of best fit?

   • $$47$$
   • $$35$$
   • $$25$$
   • $$0$$

9. If $$f(x)=x+5$$ and $$g(x)=3x$$, what is the value of $$5f(2)-g(2)$$?

   • $$-1$$
   • $$14$$
   • $$24$$
   • $$29$$

10. $$16(x-5)=-8(2x+7)$$How many solutions does the equation have?

    • $$0$$
    • $$1$$
    • $$2$$
    • Infinitely many