Algebra II Post Test

Chapter: 17
Standard: S.IC.4
DOK: 3
1 pt

2.

Statisticians hypothesize that the quarterback for the Braxton Bangles has a 68.75% probability of throwing 2 touchdown passes or more per game based on last season’s record. A regular season of football consists of 16 games. Using the table below determine if the quarterback’s actual passing touchdowns this season prove or disprove the statisticians’ hypothesis. Assume that this pattern of passing touchdowns remains the same for the next 8 games.

A

The Braxton Bangles’ quarterback has only made 2 or more touchdowns for 5 of the 8 games played this season, which is only 62.5% of the time. This is a lower probability than the statisticians predicted. The margin of error for the statisticians hypothesis is $$\pm 2.5\%$$ , and so $$68.75\%-2.5\%=66.25\%$$ . Since this season’s record is below the margin of error, we should reject the statistician’s hypothesis.

B

If this pattern continues, then the Braxton Bangles’ quarterback will only make 2 or more touchdowns for 11 of the 16 games played this season, which is 68.75% of the time. This is the exact probability predicted by the statisticians, and so we can accept their hypothesis.

C

If this pattern continues, then the Braxton Bangles’ quarterback will only make 2 or more touchdowns for 6 out of the 16 games played this season, which is only 37.5% of the time. This is a lower probability than the statisticians predicted. The margin of error for the statisticians hypothesis is $$\pm 25\%$$ , and so $$68.75\%-25\%=43.75\%$$ . Since this season’s record probability is below the margin of error, the statistician’s hypothesis should be rejected.

D

a. If this pattern continues, then the Braxton Bangles quarterback will only make 2 or more touchdowns for 6 of the 16 games played this season which is only 37.5% of the time. This is a lower probability than the statisticians predicted. The margin of error for the statisticians’ hypothesis is $$\pm 40.82\%$$ , and so $$68.75\%-40.82\%=27.93\%$$ . Since this season’s record probability is above the margin of error, the statistician’s hypothesis can be accepted.

Chapter: 15
Standard: F.TF.5
DOK: 3
1 pt

6.

Go-cart *A* and go-cart *B* are racing, and each has a tire with a pebble stuck in the tread. The following graph shows the distance of each of the pebbles above the ground as the tires of the two go-carts are rotating. Which of the following statements about the two go-carts can be determined from the graph?

A

*A* and *B* are traveling at the same speed.

B

*B* is going faster than *A*.

C

*A* has bigger tires than *B*.

D

*B* has bigger tires than *A*.

Chapter: 8
Standard: F.BF.1b
DOK: 3
1 pt

9.

Becky was doing her homework for her online math class. Problem number 11 asked her to state the domain for the composition function $$f\circ g$$ in interval notation, when $$f(x)=\frac{3}{x+5}$$ and $$g(x)=\frac{1}{x+3}$$. Becky typed in $$\left(-\infty ,-\frac{16}{5}\right)\cup \left(\frac{-16}{5},\infty \right)$$, and the computer told her that her answer was incorrect. What should have Becky answered, and what did Becky do wrong?

A

$$\left(-\infty ,-5\right)\cup \left(-5,-\frac{16}{5}\right)\cup \left(-\frac{16}{5},-3\right)\cup \left(-3,\infty \right)$$ ; Becky forgot to include the domain restrictions of $$f(x)$$ and $$g(x)$$ in addition to the restrictions of the domain on the composite function.

B

$$\left(-\infty ,-5\right)\cup \left(-5,-\frac{16}{5}\right)\cup \left(-\frac{16}{5},-3\right)\cup \left(-3,\infty \right)$$ ; Becky solved the composite function incorrectly.

C

$$\left(-\infty ,-\frac{16}{5}\right)\cup \left(-\frac{16}{5},-3\right)\cup \left(-3,\infty \right)$$ ; Becky forgot to include the domain restriction of $$g(x)$$ in addition to the restriction of the domain on the composite function.

D

$$\left(-\infty ,-5\right)\cup \left(-5,-\frac{16}{5}\right)\cup \left(-\frac{16}{5},\infty \right)$$ ; Becky forgot to include the domain restriction of $$f(x)$$ in addition to the restriction of the domain on the composite function.

Chapter: 1
Standard: N.CN.1
DOK: 1
1 pt

10.

If $$\sqrt{-1}=i$$ , what does $${i}^{19}$$ equal?

A

$$i$$

B

$$-i$$

C

$$1$$

D

$$-1$$

Chapter: 12
Standard: A.SSE.4
DOK: 2
1 pt

14.

The 9th term of a geometric sequence is 49,152. From the choices below, which choice shows the possible first term of the sequence, as well as the common ratio?

A

$${a}_{1}=2\text{and}r=-3$$

B

$${a}_{1}=3\text{and}r=-2$$

C

$${a}_{1}=-4\text{and}r=\frac{3}{4}$$

D

$${a}_{1}=\frac{3}{4}\text{and}r=-4$$