Question 1

The expression $\sqrt[4]{81x^8y^6}$ is equivalent to

Accepted Answer

3x²y $^{\frac{3}{2}^{ }}$

Answer

3x4y2

Answer

9x4y2

Answer

9x²y $^{\frac{3}{2}^{ }}$

Question 2

Chet has $1200 invested in a bank account modeled by the function P(n) = 1200(1.002)ⁿ , where P(n) is the value of his account, in dollars, after n months. Chet’s debt is modeled by the function Q(n) = 100n, where Q(n) is the value of debt, in dollars, after n months. After n months, which function represents Chet’s net worth, R(n)?

30

R(n) =1200(1.002)¹²ⁿ - 100n

R(n) = 1200(1.002)¹²ⁿ +100n

R(n) = 1200(1.002)ⁿ -100n

R(n) = 1200(1.002)ⁿ + 100n

Accepted Answer

R(n) = 1200(1.002)ⁿ -100n

Answer

R(n) =1200(1.002)¹²ⁿ - 100n

Answer

R(n) = 1200(1.002)¹²ⁿ +100n

Answer

R(n) = 1200(1.002)ⁿ + 100n

Question 3

Emmeline is working on one side of a polynomial identity proof used to form Pythagorean triples. Her work is shown below:

(5x)²+ (5x²-5)²

Step1: 25x² + (5x² - 5)²

Step2: 25x²+ 25x²+ 25

Step3: 50x²+25

Step4: 75x²

What statement is true regarding Emmeline’s work?

Accepted Answer

There are mistakes in step 2 and step 4.

Answer

There is a mistake in step 4, only.

Answer

Emmeline’s work is entirely correct.

Answer

There is a mistake in step 2, only.

Question 4

Which situation best describes conditional probability?

Accepted Answer

finding the probability of an event occurring given another event had already occurred

Answer

finding the probability of an event occurring only once

Answer

finding the probability of two independent events occurring at the same time

Answer

finding the probability of an event occurring two or more times

Question 5

Which expression is not a solution to the equation 2^t = $^{\frac{3}{2}^{ }}$ ?

Accepted Answer

log104

Answer

$\frac{1}{2}$ log₂10

Answer

log410

Answer

log_{2 $\sqrt{10}$}

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