Question 1

To strengthen a 200 g solution of a 15% saline solution, Cung uses the rational function below where p describes percentage of salt in a solution by mass and x is the number of grams of salt added.

About how much salt should Cung add to create a 30% solution?

Question 2

What is the solution for the equation 7 4 + 5 x = - 3 4 ?

1. x = -2


2. x = - 1 2


3. x = - 72 7


4. x = -5

Question 3

Using the graphing method, determine how many solutions there are to the equation 8 x − 5 = x + 3 x + 2 .

Question 4

To solve, x − 5 x + 4 ≤ 0, Stella plans to enter the inequality into her calculator and then examine the table. Which of the entries below will help Stella get the correct solution?

Question 5

A chemist adds a 35% acid solution to 15 milliliter of a solution that is 20% acid. The function that represents the percent of acid in the resulting solution is f(x)= 15(0.20) + x(0.35) 15 + x , where x is the amount of 35% solution added. Use this model for the following situation: A 30 milliliter solution contains 15% acid. If a chemist wants to create a 50% solution, which of the following functions would represent the percent of acid in the resulting solution?

1. f(x) = 15(30) + 20(x) 30 + x


2. f(x) = 30(0.15) + x(0.50) 15 + x


3. f(x) = 30(0.15) + x(0.50) 30 + x


4. f(x) = 30(0.50) + x(0.15) 15 + x

Question 6

To determine the concentration of a drug in the blood stream a lab technician uses the formula C(t)= 5t 0.01t² + 3.3 where t describes the time the drug has been in the blood stream in minutes and C is the micrograms per milliliter. Which of the following screen shots display the concentration when the elapse time since the drug was administered is 10 minutes?

Question 7

The physics club plans take a trip to San Antonio to study the Superman Krypton roller coaster. The trip will cost $250 per person plus a $1500 deposit for the club. Which of the following functions will determine the average cost, C(x), per person, x?

1. C(x) = 250 x + 1500


2. C(x) = 1500 + 250 x


3. C(x) = 1500 x + 250


4. C(x) = 1500 x + 250

Question 8

The intensity of light, i, from a light bulb varies inversely as the square of the distance, d, from the bulb. Suppose i is 80 W/m² when the distance is 6 m. Find the intensity as a distance of 10 m.

1. 17.0 W/m²


2. 384 W/m²


3. 28.8 W/m²


4. 222.2 W/m²

Question 9

What is the solution set to the following equation? 3 x + 3 + 2 x = 7 x(x + 3)

1. 


2. {1.05}


3. 


4. {.35}

Question 10

The graph of f(x) = 2(x) x + 3 is shown below.

What is the solution to 2(x) x + 3 > 2?

1. x > -3


2. x > -4


3. x < 2


4. x < -3

Question 11

Given the function y = 5 x − 4 , what is the vertical asymptote?

1. y = 0


2. x = 4


3. x = - 5 4


4. y = 5

Question 12

Bouncy Slaps are a popular sandal worn by co-eds in the south. The company determined that there is a fixed weekly cost of $2500 and a $5 cost to produce each slap. The average weekly cost for producing the slaps is modeled by the equation C(x)= 5x + 2500 x where x represents the number of slaps produced in one week. Which of the following represents the meaning of the vertical asymptote for this problem situation?

1. As the number of slaps, x, becomes very larger, the average cost per slap nears $5.


2. As the number of slaps, x, gets closer to 0, the average cost per slap gets decreases.


3. As the number of slaps, x, gets very large, the average cost per slap gets larger.


4. As the number of slaps, x, gets closer to 0, the average cost per slap gets larger.

Question 13

The number of kilograms of water in a person's body, n, varies directly as the person's mass, m. A person with a mass of 90 kg contains 60 kg of water. Which of the following equations is the best model of this solution?

1. n = 5400 m


2. n = 3 2 m


3. n = 2 3 m


4. m = 5400 n

Question 14

Which inequality is represented by the graph below?

1. y ≤ -5 x² + 2


2. y ≥ -5 x² + 2


3. y < -5 x² + 2


4. y > -5 x² + 2

Question 15

Use the table method or the graphing method to solve the equation x x − 2 + 1 x + 2 = 8 x² − 4 .

1. x = -5


2. x = 2


3. x = 2 or x = -5


4. x = 1

Question 16

Each month either Jayden or Xavier take inventory on the supplies in the warehouse where they work. Xavier can complete the inventory twice as fast as Jayden. Since the boss must report the inventory to the corporate office in 8 hours, he decides to have both men work together. This situation can be modeled by the equation 1 x + 1 2x = 1 8 , where x represents the time it takes Xavier to complete the job by himself. How long will it take Jayden to complete the job by himself?

Question 17

Use the graphing method to determine which of the following is the solution set for the equation 4 x + 6 = 1 x² ?

Question 18

Andre is solving the given equation below.

Which of the following is the second step to solve this problem?

1. x² − 2x − 8x² + 16x = -2x


2. x − 2 − 8x + 16 = -2x


3. x² − 2x − 8x + 16 = -2x


4. x² − 2x − 8x + 16 = -2x 8x

Question 19

Nita wants to buy a laptop that costs $650 and has an average energy cost of $18.00 per year. Her sister, Sara, wants to buy a computer for $900 and has an average energy cost of $6.00 per year. Since they can only purchase one computer to share, they decide to settle the dispute by studying the graphs of the total annual cost over a period of x years. Which of the following screen shots represents the correct input for this investigation?

Question 20

According to the following graph, for what values of x is -5 x + 4 < 1 x + 4 ?

1. x > 0


2. x > -4


3. x < 0


4. x < -4

Question 21

Below is Eva's work for a problem on her Algebra II test.

Although each problem was worth 10 points, her teacher took off 3 points for making an error. What was the error and which step did she make the error?

1. In Step 1, Eva factored incorrectly.


2. Step 4 is missing the denominators.


3. In Step 7, Eva factored incorrectly.


4. Step 8 is incorrect. The answer should be x = -7.

Question 23

The table contains a list of the values for the rational function y = 6 x − 2 and the function y = -2.

Based on this table, what is the solution set for 6 x − 2 ≥ -2?

1. [-1, -∞) or (2, ∞)


2. (2, ∞)


3. (-1, -∞) or (2, ∞)


4. [-1, 2)

Question 24

In which graph is y an inverse variation squared of x?

A.	C.
B.	D.

Question 25

Andy travels 5 miles downstream and 5 miles upstream in a total of 6 hours. In still water, Andy travels at an average speed of 3 mi/h. The equation to determine the speed of the river's current is 6 = 5 3 − x + 5 3 + x (where x represents the speed of the current) and the corresponding graph is pictured below.

Using this graph, which point best represents the average speed of the river's current?