Timed Mini Exam 26 — Timed Mini Exams

Questions in this quiz (10)

1. Tangent TB and secant TCA are drawn to circle O. Diameter AB is drawn. If TC = 6 and CA = 10, find the length of CB.

   • $$30$$
   • $$2\sqrt{15}$$
   • $$10$$
   • $$8$$

2. There are 5 bicycles and 5 racks in front of the school. How many different ways can the bicycles be parked in the racks?

   • 3,125
   • 25
   • 120
   • 525

3. For every hour that Marcia spends making frames in the second week of December each year, she donates 3 dollars from that week's profit to a local charity. This year, Marcia made 4 large frames and 2 small frames in that week. Which of the following is closest to the percent of that week's profit Marcia donated to the charity?

   • $$20%$$
   • $$16%$$
   • $$12%$$
   • $$14%$$

4. A formula for finding the value A dollars of P dollars invested at i percent interest compounded annually for n years is $$A=P(1+0.01i)^n$$. Which of the following is an expression for P in terms of i, n, and A?

   • $$\frac{A}{(1+0.01i)^n}$$
   • $$A\cdot(1+0.01i)^n$$
   • $$\sqrt[n]{\frac{A}{(1+0.01i)}}$$
   • $$A-0.01i^n$$

5. If x and y are real numbers such that x>1 and y<-1, then which of the following inequalities must be true?

   • $$\frac{x}{y}>1$$
   • $$|x|^2>|y|$$
   • $$\frac{x}{3}-5>\frac{y}{3}-5$$
   • $$x^2+1>y^2+1$$

6. What is the sum of the first 4 terms of the arithmetic sequence in which the 6th term is 8 and the 10th term is 13?

   • 14.5
   • 12.25
   • 24.25
   • 39.5

7. Given the vertices of parallelogram $$FGHJ$$ in the standard$$(x,y)$$coordinate plane below, what is the area of triangle $$GHJ$$, in square units?

   • 15
   • 11
   • 20
   • 22

8. If $$g(x)=2x^2+5$$, then $$g(x+y)=?$$

   • $$2x^2+4y^2$$
   • $$4x^2+4xy+5$$
   • $$2x^2+4xy+2y^2+5$$
   • $$4x^2+4y^2+5$$

9. What is the smallest possible value for the product of 2 real numbers that differ by 6?

   • -6
   • -9
   • 6
   • 0

10. What is the standard form of the equation of the circle defined by the equation $$x^2+y^2-6x+8y=0$$?

    • $$(x-6)^2+(y+2)^2=5$$
    • $$(x-3)^2+(y+4)^2=25$$
    • $$(x-4)^2+(y-2)^2=25$$
    • $$(x-3)^2+(y-4)^2=5$$