Test - KY QC Algebra II Test

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

What is the conjugate of $- 4 + 7 i$ ?

$- 4 - 7 i$

$4 + 7 i$

$4 - 7 i$

$7 - 4 i$

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

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

(4,3)

(–4,–3)

(–4,3)

(4,–3)

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

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?

$(- \infty, - 5) \cup (- 5, - \frac{16}{5}) \cup (- \frac{16}{5}, - 3) \cup (- 3, \infty)$ ; 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.

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

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

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

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

28.

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

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

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

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

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

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

35.

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

$\frac{25}{2}$

$\frac{25}{4}$

$\frac{25}{32}$

KY QC Algebra II Test

KY QC Algebra II Test Sample