Advanced Math: Nonlinear Equations & Systems of Equations — Quiz 1

Questions in this quiz (10)

1. The graph of a system of a linear equation and a nonlinear equation is shown. What is the solution $$(x,y)$$ to this system?

   • $$(0,0)$$
   • $$(0,2)$$
   • $$(2,4)$$
   • $$(4,0)$$

2. The graph of a system of an absolute value function and a linear function is shown. What is the solution $$(x,y)$$ to this system of two equations?

   • $$(0,8)$$
   • $$\left(\frac{7}{2},\frac{9}{2}\right)$$
   • $$\left(-\frac{7}{2},\frac{9}{2}\right)$$
   • $$(-3,4)$$

3. If $$x^2=49$$, which of the following values of $$x$$ satisfies the equation?

   • $$-7$$
   • $$5$$
   • $$14$$
   • $$21$$

4. Given $$|x-20|=15$$, what is the positive solution to the equation?

   • $$5$$
   • $$15$$
   • $$35$$
   • $$20$$

5. Given $$\sqrt{x-5}=9$$, what value of $$x$$ satisfies the equation above?

   • 86

6. The total revenue from sales of a product is given by $$R=PQ$$, where $$P$$ is the price and $$Q$$ is the quantity sold. Which equation gives $$P$$ in terms of $$R$$ and $$Q$$?

   • $$P=\frac{R}{Q}$$
   • $$P=\frac{Q}{R}$$
   • $$P=RQ$$
   • $$P=R-Q$$

7. If $$(x-4)^2=9$$, which of the following is a possible value of $$x$$?

   • $$1$$
   • $$3$$
   • $$4$$
   • $$13$$

8. Given the system: $$x+2=6$$ $$(x+2)^2=y$$ Which ordered pair $$(x,y)$$ is a solution to the system?

   • $$(4,16)$$
   • $$(4,8)$$
   • $$(2,16)$$
   • $$(4,36)$$

9. Given $$\frac{72}{x-3}=x$$, what is the positive solution to the equation?

   • 12

10. Given the system: $$x=4$$ $$y=(10-x)^2$$ A solution to the system is $$(x,y)$$. What is the value of $$xy$$?

    • $$144$$
    • $$96$$
    • $$64$$
    • $$48$$