KY QC Algebra II Test

Chapter: 4
Standard: C1.a
DOK: 1
1 pt

2.

What is the conjugate of $$\u20134+7i$$ ?

A

$$\u20134\u20137i$$

B

$$4+7i$$

C

$$4\u20137i$$

D

$$7\u20134i$$

Chapter: 4
Standard: D2.b
DOK: 2
1 pt

7.

Find the minimum for the function $$f(x)={x}^{2}-8x+19$$ when $$0<x<10$$.

A

(4,3)

B

(–4,–3)

C

(–4,3)

D

(4,–3)

Chapter: 6
Standard: C1.d
DOK: 3
1 pt

11.

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 $$(-\infty ,-\frac{16}{5})\cup (-\frac{16}{5},\infty )$$ , and the computer told her her answer was incorrect. What should have Becky answered, and what did Becky do wrong?

A

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

B

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

C

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

D

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

Chapter: 8
Standard: G1.d
DOK: 1
1 pt

28.

Expand the following expression: $$\left(\sqrt{6}-\sqrt{3}\right)\left(\sqrt{8}+2\sqrt{5}\right)$$

A

$$4\sqrt{3}+2\sqrt{15}$$

B

$$4\sqrt{3}-2\sqrt{15}$$

C

$$4\sqrt{3}+2\sqrt{15}-2\sqrt{6}-2\sqrt{15}$$

D

$$4\sqrt{3}+2\sqrt{30}-3\sqrt{2}-\sqrt{15}$$

Chapter: 11
Standard: H2.a
DOK: 1
1 pt

35.

Using the given formula, find the 10th term in the sequence 400, 200, 100, 50,... nth term: $${a}_{n}={a}_{1}{r}^{(n-1)}$$

A

$$\frac{25}{2}$$

B

25

C

$$\frac{25}{4}$$

D

$$\frac{25}{32}$$