Adv Algebra Final Exam Practice Test 3rd Block

A data set is normally distributed with a mean of 62 and standard deviation of 5. Approximately what percentage of the data values are between 52 and 67?

• 34%

• 68%

• 81.5%

• 95%

Rewrite the logarithm as an exponential equation. log₃(x) = 2

• 3² = x

• 3ˣ = 2

• 2 = x³

• x² = 3

How does the graph g(x) = 2ˣ − 5 compare to the graph of h(x) = 2ˣ?

• g(x) is 2 times steeper than h(x)

• g(x) is 5 times steeper than h(x)

• g(x) is translated 5 units up from h(x)

• g(x) is translated 5 units down of h(x)

Which expression is equivalent to ln(7/x²)?

• ln7 + 2lnx

• ln7 − ln(2x)

• ln7 − 2ln(x)

• 7lnx + ln(2x)

Which value(s) of k make the following equation true? k = √(6 − k)

• 2, −1

• 2, −7

• 2, −4

• 2

Given the following function, identify its graph. y = 3√(x + 1) − 2

• Graph A

• Graph B

• Graph C

• Graph D

Which graph best represents the function y = √x?

• A. [Graph A]

• B. [Graph B]

• C. [Graph C]

• D. [Graph D]

Which expression is not equivalent to 1?

Multiply (2 + 3i) and (−1 + 4i).

• −10 + 11i

• −14 + 5i

• 10 − 8i

• −14 − 8i

• (3x + 2)(3x − 2)

• (3x + 2i)(3x − 2i)