Mini Exam 55 — Timed Mini Exams

Questions in this quiz (10)

1. A line $$l$$ passes through the point $$(3,-1)$$ and has a slope of $$1$$. A line $$m$$ passes through the points $$(1,2)$$ and $$(3,8)$$. Lines $$l$$ and $$m$$ intersect at the point $$(a,b)$$. What is the value of $$a-b$$?

   • 4

2. $$x^2+(y-3)^2=9$$$$y=x^2$$A system of two equations is shown. How many solutions does the system have?

   • Zero
   • One
   • Two
   • Three

3. $$y\ge -x+5$$$$y$$ < $$2x-3$$A system of inequalities is shown. Which section of the graph could represent all of the solutions to the system?

   • Section O
   • Section P
   • Section Q
   • Section R

4. The $$xy$$-plane shows one of the two points of intersection of the graphs of a linear function and a quadratic function. The shown point of intersection has coordinates $$(v,w)$$. What is the value of $$v$$?

   • $$2$$
   • $$3$$
   • $$4$$
   • $$5$$

5. The graph of a quadratic function $$f(x)$$ has its vertex at $$(2,-1).$$ Which of the following could be the vertex of the graph of $$f(x)-4$$?

   • $$(2,-5)$$
   • $$(-2,-5)$$
   • $$(-2,-1)$$
   • $$(2,3)$$

6. Which of the following is the equation of the graph shown?

   • $$(x-1)(x-3)(x+2)$$
   • $$-(x-1)(x-4)(x+2)$$
   • $$(x-2)(x+1)(x+3)$$
   • $$-(x-2)(x+1)(x+3)$$

7. If $$\frac{2x}{x+1}+\frac3{ax+3}=\frac{8x^2+9x+3}{(x+1)(ax+3)},$$ what is the value of $$a$$?

   • 4

8. Jerry plans to make at least $$30$$ cups of a drink mix that will consist of apple juice and water. He wants the drink mix to be at least $$20\%$$ apple juice by volume. Which system of inequalities represents the number of cups of apple juice, $$a$$, and the number of cups of water, $$w$$?

   • $$a+w\le30$$$$a\le0.2w$$
   • $$a+w\ge30$$$$a\ge0.2w$$
   • $$a+w\ge30$$$$a\ge0.25w$$
   • $$a+w\le30$$$$a\le0.25w$$

9. The graph summarizes the age distribution of $$225$$ students studying at a university. Which of the following is the median age of the students?

   • $$19$$
   • $$22$$
   • $$26$$
   • $$30$$

10. The graphs of functions $$f(x)=a\cdot b^x$$ and $$g(x)=c\cdot d^x$$ are shown. Which of the following is true?

    • $$a$$ > $$c$$ and $$b$$ > $$d$$
    • $$a$$ > $$c$$ and $$b$$ < $$d$$
    • $$a$$ < $$c$$ and $$b$$ > $$d$$
    • $$a$$ < $$c$$ and $$b$$ < $$d$$