Question 1

The expression (x + a)² + 5(x + a) + 4 is equivalent to

Accepted Answer

(x + a + 1)(x + a + 4)

Answer

(a + 1)(a + 4)

Answer

x² + a²⁺ 5x + 5a + 4

Answer

(x + 1)(x + 4)

Question 2

Given x ≠ -2, the expression $\frac{2x^2+5x+8}{x+2}$ is equivalent to

Accepted Answer

2x + 1 + $\frac{2x^2+5x+8}{x+2}$

Answer

2x + 9 - $\frac{2x^2+5x+8}{x+2}$

Answer

2x² + $\frac{9}{x+2}$

Answer

2x + $\frac{2x^2+5x+8}{x+2}$

Question 3

What is the solution set of x = $\frac{2x^2+5x+8}{x+2}$ ?

Accepted Answer

{8}

Answer

{ }

Answer

{-5,8}

Answer

{-4,10}

Question 4

The function N(x) = 90(0.86)^x + 69 can be used to predict the temperature of a cup of hot chocolate in degrees Fahrenheit after x minutes. What is the approximate average rate of change of the temperature of the hot chocolate, in degrees per minute, over the interval [0, 6]?

Accepted Answer

-8.93

Answer

-0.11

Answer

8.93

Answer

0.11

Question 5

Which investigation technique is most often used to determine if a single variable has an impact on a given population?

Accepted Answer

controlled experiment

Answer

observational study

Answer

formal interview

Answer

random survey

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