Exam 7: Review of Solving Equations

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Solve the inequality. Write your answer using inequality notation. Solve the inequality. Write your answer using inequality notation.

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

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C

Solve the system by the substitution method. Solve the system by the substitution method.   ( __________, __________ ) ( __________, __________ )

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One number is 3 more than twice another. The sum of the numbers is 12. Find the two numbers.

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Solve the equation. If impossible, write no solution. Solve the equation. If impossible, write no solution.

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Solve the inequality. Write your answer using interval notation. Solve the inequality. Write your answer using interval notation.

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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 10% 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 for student loans that would be considered manageable.

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Solve the following system by the addition method. Solve the following system by the addition method.

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

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An airplane covers a distance of 1,800 miles in 3 hours when it flies with the wind and An airplane covers a distance of 1,800 miles in 3 hours when it flies with the wind and   hours when it flies against the wind. What is the speed of the plane in still air? hours when it flies against the wind. What is the speed of the plane in still air?

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Solve the inequality. Write your answer using interval notation. Solve the inequality. Write your answer using interval notation.

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

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Solve the inequality using the definition of absolute value. If impossible, write no solution . Solve the inequality using the definition of absolute value. If impossible, write no solution .

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Solve the equation. Solve the equation.

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A store selling art supplies finds that they can sell x sketch pads each week at a price of p dollars each, according to the formula x = 2,700 - 400 p . What price should they charge if they want to sell at least 300 pads each week?

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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.

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Solve the inequality. If impossible, write no solution . Do not use decimals in your answer. Solve the inequality. If impossible, write no solution . Do not use decimals in your answer.

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Solve the following system by the addition method. Solve the following system by the addition method.

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

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