Exam 1: Solving Linear Equations and Inequalities

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Determine whether it is true or false that the given number is a solution of the equation. --5; 8x - 4x = -64.

(True/False)
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Solve. -Solve. -

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Solve. -A plane traveling 390 mph in still air encounters a 60-mph headwind. How long will it take the plane to travel 660 mi into the wind? Round your answer to the nearest tenth of an hour, if necessary.

(Multiple Choice)
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Solve. -A speedboat moves at a rate of 24 km/hr in still water. How long will it take someone to ride the boat 87 km downstream if the river's current moves at a rate of 5 km/hr?

(Multiple Choice)
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Solve the compound inequality. Express the solution using interval notation. Graph the solution set. -Solve the compound inequality. Express the solution using interval notation. Graph the solution set. -

(Multiple Choice)
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Solve and graph. Write the result in interval notation. -Solve and graph. Write the result in interval notation. -

(Multiple Choice)
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Solve. -On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up 8%. How much did the investor pay for the 100 shares if he sold them Wednesday morning for $1566?

(Multiple Choice)
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Solve. -A rectangular Persian carpet has a perimeter of 232 inches. The length of the carpet is 24 inches more than the width. What are the dimensions of the carpet?

(Multiple Choice)
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Solve using the addition and multiplication principles together. -Solve using the addition and multiplication principles together. -

(Multiple Choice)
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Solve. -The equation y = 0.002x - 0.10 can be used to determine the profit y, in dollars, of producing x items. How many items x must be produced so the profit will be at least $3757?

(Multiple Choice)
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Solve and graph. Write the result in interval notation. -Solve and graph. Write the result in interval notation. -

(Multiple Choice)
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Graph and write interval notation. -Graph and write interval notation. -

(Multiple Choice)
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Write interval notation for the graph. -Write interval notation for the graph. -

(Multiple Choice)
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Solve. -In order for a chemical reaction to remain stable, its Celsius temperature C must be no more than 147.02° C. At what Fahrenheit temperatures F will the reaction remain stable. Solve. -In order for a chemical reaction to remain stable, its Celsius temperature C must be no more than 147.02° C. At what Fahrenheit temperatures F will the reaction remain stable.

(Multiple Choice)
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Solve and graph. -Solve and graph. -

(Multiple Choice)
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Solve. -In order for a chemical reaction to take place, the Fahrenheit temperature F of the reagents must be at least 197.57° F. At what Celsius temperatures C will the reaction occur? Solve. -In order for a chemical reaction to take place, the Fahrenheit temperature F of the reagents must be at least 197.57° F. At what Celsius temperatures C will the reaction occur?

(Multiple Choice)
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Solve. -A speedboat moves at a rate of 24 km/hr in still water. How long will it take someone to ride the boat 136 km upstream if the river's current moves at a rate of 7 km/hr?

(Multiple Choice)
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Solve. -A pie-shaped (triangular)lake-front lot has a perimeter of 1300 feet. One side is 300 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.

(Multiple Choice)
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Solve. -Solve. -

(Multiple Choice)
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Solve. -The sum of two consecutive integers is -269. Find the larger integer.

(Multiple Choice)
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