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1. What value of x satisfies the equation ?

2. Some doctors base the dosage of a drug to be given to a patient on the patient's body surface area (BSA). The most commonly used formula for calculating BSA is , where w is the patient's weight (in kg), h is the patient's height (in cm), and BSA is measured in square meters. How tall (in cm) is a patient who weighs 150 kg and has a BSA of m2?

3. A college math professor informs her students that rather than curving final grades, she will replace each student's lowest test score with the next to lowest test score, and then re-average the test grades. If Leeza has test scores of 86, 92, 81, 64, and 83, by how many points does her final test average change based on the professor's policy?

4.

In the figure above, , , and are diameters of the circle. If y = 2x - 12, and the shaded area is of the circle, what is the value of x?

5. If the slope of a line is and a point on the line is (4, 7), what is the y-intercept of the line?

6. Rory left home and drove straight to the airport at an average speed of 45 miles per hour. He returned home along the same route, but traffic slowed him down and he only averaged 30 miles per hour on the return trip. If his total travel time was 2 hours and 30 minutes, how far is it, in miles, from Rory's house to the airport?

7. Chemical Makeup of One Mole of Chloroform

Element Number of Moles Mass per Mole (grams)
Carbon 1 12.011
Hydrogen 1 1.008
Chlorine 3 35.453

A chemical solvent is a substance that dissolves another to form a solution. For example, water is a solvent for sugar. Unfortunately, many chemical solvents are hazardous to the environment. One eco-friendly chemical solvent is chloroform, also known as trichloromethane (CHCl3). The table above shows the chemical makeup of one mole of chloroform.

Carbon makes up what percent of the mass of one mole of chloroform? Round your answer to the nearest whole percent and ignore the percent sign when entering your answer.

8. Chemical Makeup of One Mole of Chloroform

Element Number of Moles Mass per Mole (grams)
Carbon 1 12.011
Hydrogen 1 1.008
Chlorine 3 35.453

A chemical solvent is a substance that dissolves another to form a solution. For example, water is a solvent for sugar. Unfortunately, many chemical solvents are hazardous to the environment. One eco-friendly chemical solvent is chloroform, also known as trichloromethane (CHCl3). The table above shows the chemical makeup of one mole of chloroform.

If a chemist starts with 1,000 grams of chloroform and uses 522.5 grams, how many moles of chlorine are left?