Mini Exam 19 — Timed Mini Exams

Questions in this quiz (10)

1. What is the value of $$a$$ in the equation $$5(a-1)-2(a+2)=\frac34a?$$

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

2. $$3x-2y=7$$ $$4x-6y=12$$ Consider the system of equations. What is the value of $$7x-8y?$$

   • $$7$$
   • $$8$$
   • $$14$$
   • $$19$$

3. What is the greatest possible number that satisfies the inequality $$3x-2\le2x+3?$$

   • $$3$$
   • $$5$$
   • $$8$$
   • $$9$$

4. $$2y=-6x+14$$ $$\frac23y=-2x+1$$How many solutions are there to the system of equations?

   • Zero
   • One
   • Two
   • Infinite

5. $$y$$ > $$7$$$$y-4$$ < $$3x$$Based on the system of inequalities, what are the possible values of $$x$$?

   • $$x$$ < $$0$$
   • $$x$$ > $$3$$
   • $$x$$ < $$-11$$
   • $$x$$ > $$1$$

6. For the function $$g$$, if $$g(5x-1)=x+4,$$ what is the value of $$g(4)$$?

   • 5

7. The number of windmills at a wind farm starts at 200. Each year, 6 new windmills are added and 2 windmills are removed because of wear and tear. Which function represents the number of windmills, $$w$$, on the wind farm $$t$$ years after it opens?

   • $$w(t)=200+6t$$
   • $$w(t)=200+4t$$
   • $$w(t)=6+200t$$
   • $$w(t)=200-4t$$

8. Which expression is equivalent to $$(x+y^2)(-x-y^2)?$$

   • $$x^2-2xy^2+y^4$$
   • $$-x^2-2xy^2-y^4$$
   • $$2x^2-xy^2-4y^4$$
   • $$-x^2-y^4$$

9. If $$x^2-3x-10=0,$$ for what value of $$x$$ is the equation true, given that $$x$$ > $$0$$?

   • $$3$$
   • $$4$$
   • $$5$$
   • $$6$$

10. The graph of the function $$g(x)$$ is shown above. What is the difference between the minimum and maximum values of the function?

    • 8