Mini Exam 43 — Timed Mini Exams

Questions in this quiz (10)

1. A runner maintains a pace of $$150$$ steps per minute. On Monday, the runner takes $$9,000$$ steps. On Tuesday, the runner takes $$15,000$$ steps at the same pace. How many additional minutes does the runner spend walking on Tuesday?

   • $$20$$
   • $$30$$
   • $$40$$
   • $$60$$

2. The linear function $$g$$ satisfies $$g(2)=11$$ and $$g(8)=29$$. What is the value of $$g(20)$$?

   • $$53$$
   • $$59$$
   • $$65$$
   • $$71$$

3. Two investment accounts each begin with $$5,000$$ dollars. After one year, one account increases by $$18\%$$ while the other decreases by $$12\%$$. What is the difference between the account balances after one year?

   • $$1,100$$
   • $$1,300$$
   • $$1,500$$
   • $$1,700$$

4. In triangle $$ABC$$, $$\overline{AB}$$ and $$\overline{BC}$$ are congruent, $$\angle A$$ is $$n$$ degrees, and $$\angle B$$ is $$2n$$ degrees. What is the measure of $$\angle C$$ in degrees?

   • $$20$$
   • $$35$$
   • $$45$$
   • $$70$$

5. For what values of $$b$$ does the equation $$x^2+bx+9=0$$ have no real solutions?

   • $$|b|$$ < $$6$$
   • $$|b|$$ < $$3$$
   • $$|b|$$ > $$6$$
   • $$|b|$$ > $$3$$

6. The function $$f(x)=-(x-1)(x-9)+5$$ has a maximum value. At what value of $$x$$ does this maximum occur?

   • 5

7. A ball is thrown upward from a height of $$4$$ feet with velocity $$32$$ feet per second. Its height is modeled by $$h(t)=-16t^2+32t+4.$$ What is the maximum height of the ball?

   • $$16$$ feet
   • $$20$$ feet
   • $$24$$ feet
   • $$36$$ feet

8. If $$x+\frac4x=5,$$ what is the value of $$x^2+\frac{16}{x^2}?$$

   • $$9$$
   • $$17$$
   • $$25$$
   • $$33$$

9. $$2x+y=7$$$$x-3y=10$$If $$(a,b)$$ is the solution of the system of equations shown above, what is the value of $$a^2+b^2?$$

   • $$\frac{20}{49}$$
   • $$\frac{1130}{49}$$
   • $$\frac{317}{49}$$
   • $$\frac{1130}{49}$$

10. A rectangular garden has length $$x+4$$ and width $$x-2.$$ If its area is $$96$$ square units, what is the perimeter of the garden?

    • 44