Exam 7: Review of Solving Equations

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Solve the equation. Solve the equation.

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Graph the solution set for the system of linear inequalities. Graph the solution set for the system of linear inequalities.

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Solve the system. Solve the system.   If the system is dependent or inconsistent, indicate this. If the system is dependent or inconsistent, indicate this.

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Solve the inequality and graph the solution set. Solve the inequality and graph the solution set.

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The sum of the squares of two consecutive odd integers is 74. Find the two integers.

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If a car rental company charges $13 a day and 7 If a car rental company charges $13 a day and 7   a mile to rent one of its cars, then the cost z , in dollars, to rent a car for x days and drive y miles can be found from the equation:   A second company charges $17 a day and 5   a mile for the same car. The equation that gives the cost z , in dollars, to rent a car from this company for x days and drive it y miles can be found from the equation:   A car is rented from each of the companies for 4 days. To find the mileage at which the cost of renting the cars from each of the two companies will be equal, solve the following system for y :   __________ miles. a mile to rent one of its cars, then the cost z , in dollars, to rent a car for x days and drive y miles can be found from the equation: If a car rental company charges $13 a day and 7   a mile to rent one of its cars, then the cost z , in dollars, to rent a car for x days and drive y miles can be found from the equation:   A second company charges $17 a day and 5   a mile for the same car. The equation that gives the cost z , in dollars, to rent a car from this company for x days and drive it y miles can be found from the equation:   A car is rented from each of the companies for 4 days. To find the mileage at which the cost of renting the cars from each of the two companies will be equal, solve the following system for y :   __________ miles. A second company charges $17 a day and 5 If a car rental company charges $13 a day and 7   a mile to rent one of its cars, then the cost z , in dollars, to rent a car for x days and drive y miles can be found from the equation:   A second company charges $17 a day and 5   a mile for the same car. The equation that gives the cost z , in dollars, to rent a car from this company for x days and drive it y miles can be found from the equation:   A car is rented from each of the companies for 4 days. To find the mileage at which the cost of renting the cars from each of the two companies will be equal, solve the following system for y :   __________ miles. a mile for the same car. The equation that gives the cost z , in dollars, to rent a car from this company for x days and drive it y miles can be found from the equation: If a car rental company charges $13 a day and 7   a mile to rent one of its cars, then the cost z , in dollars, to rent a car for x days and drive y miles can be found from the equation:   A second company charges $17 a day and 5   a mile for the same car. The equation that gives the cost z , in dollars, to rent a car from this company for x days and drive it y miles can be found from the equation:   A car is rented from each of the companies for 4 days. To find the mileage at which the cost of renting the cars from each of the two companies will be equal, solve the following system for y :   __________ miles. A car is rented from each of the companies for 4 days. To find the mileage at which the cost of renting the cars from each of the two companies will be equal, solve the following system for y : If a car rental company charges $13 a day and 7   a mile to rent one of its cars, then the cost z , in dollars, to rent a car for x days and drive y miles can be found from the equation:   A second company charges $17 a day and 5   a mile for the same car. The equation that gives the cost z , in dollars, to rent a car from this company for x days and drive it y miles can be found from the equation:   A car is rented from each of the companies for 4 days. To find the mileage at which the cost of renting the cars from each of the two companies will be equal, solve the following system for y :   __________ miles. __________ miles.

(Short Answer)
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Solve the equation. Solve the equation.   x = __________ x = __________

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Solve the equation. Solve the equation.

(Multiple Choice)
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When considering how much debt to incur in student loans, you learn that it is wise to keep your student loan payment to 4% or less of your starting monthly income. Suppose you anticipate a starting annual salary of $48,000. Set up and solve an inequality that represents the amount of monthly debt, D , for student loans that would be considered manageable.

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Solve the equation. Solve the equation.

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Solve the equation. 2 x - 6 = 2( x + 7)

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Solve the equation. Solve the equation.

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Solve the system. Solve the system.   If the system is dependent or inconsistent, indicate this. If the system is dependent or inconsistent, indicate this.

(Short Answer)
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A boat on a river travels 50 miles downstream in only 5 hours. It takes the same boat 9 hours to travel 18 miles upstream. What are the speed of the boat and the speed of the current?

(Multiple Choice)
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Solve the following system by the addition method. Solve the following system by the addition method.   If the system is dependent or inconsistent, indicate this. If the system is dependent or inconsistent, indicate this.

(Short Answer)
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Solve the system. Solve the system.   If the system is dependent or inconsistent, indicate this. If the system is dependent or inconsistent, indicate this.

(Short Answer)
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Find a system of inequalities describing the following problem. An office worker wants to purchase some $0.45 postage stamps and also some $0.55 postage stamps totaling no more than $30. It also is desired to have at least twice as many $0.45 stamps and more than 30 $0.45 stamps.

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Solve the equation. Solve the equation.   x = __________ x = __________

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Solve the inequality for the indicated variable. Solve the inequality for the indicated variable.

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Solve the equation. Solve the equation.   x = __________ x = __________

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