Exam 1: Equations and Inequalities

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Find a and b. -Find a and b. -

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Write the word or phrase that best completes each statement or answers the question. -Marianne is planning a shopping trip to buy birthday gifts for her son. She estimates that the total price ofthe items she plans to purchase will be between $350 and $400 inclusive. If sales are taxed at a rate of8.375% in her area, what is the range of the amount of sales tax she should expect to pay on her purchases?If Marianneʹs budget for the shopping trip is $425, will she necessarily be able to buy all the gifts that she haplanned?

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Solve the problem. -Using a phone card to make a long distance call costs a flat fee of $0.65 plus $0.13 per minute starting withthe first minute. What is an equation of the form y = ax + b for this situation?

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Solve the equation. -Solve the equation. -

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Solve the equation. -Solve the equation. -

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Solve the inequality. Express your answer using interval notation. -Solve the inequality. Express your answer using interval notation. -

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Solve the inequality. Express your answer using interval notation. -Solve the inequality. Express your answer using interval notation. -

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Solve the equation by the Square Root Method. -Solve the equation by the Square Root Method. -

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Write the expression in the standard form a + bi. --6i(-3 + 9i)

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Without solving, determine the character of the solutions of the equation in the complex number system. -Without solving, determine the character of the solutions of the equation in the complex number system. -

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Solve the inequality. Express your answer using interval notation. -Solve the inequality. Express your answer using interval notation. -

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Write the word or phrase that best completes each statement or answers the question. -The net income y (in millions of dollars)of Pet Products Unlimited from 1997 to 1999 is given by theequation Write the word or phrase that best completes each statement or answers the question. -The net income y (in millions of dollars)of Pet Products Unlimited from 1997 to 1999 is given by theequation   where x represents the number of years after 1997. Assume this trendcontinues and predict the year in which Pet Products Unlimitedʹs net income will be $748 million. where x represents the number of years after 1997. Assume this trendcontinues and predict the year in which Pet Products Unlimitedʹs net income will be $748 million.

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Solve the problem. -Solve the problem. -  find x. find x.

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Write the expression in the standard form a + bi. -Write the expression in the standard form a + bi. -

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Write the word or phrase that best completes each statement or answers the question. Solve the problem. -Express that x differs from -7 by more than 3 as an inequality involving absolute value. Solve for x.

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Find the real solutions of the equation. -Find the real solutions of the equation. -

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Solve the inequality. Express your answer using interval notation. -Solve the inequality. Express your answer using interval notation. -

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Write the word or phrase that best completes each statement or answers the question. -The formula Write the word or phrase that best completes each statement or answers the question. -The formula   is used to find the amount of money, A, in an account after P dollars have beeninvested in the account paying an annual interest rate, r, for 2 years. Find the interest rate r if $500 growsto $845 in 2 years. is used to find the amount of money, A, in an account after P dollars have beeninvested in the account paying an annual interest rate, r, for 2 years. Find the interest rate r if $500 growsto $845 in 2 years.

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Solve the formula for the indicated variable. -Solve the formula for the indicated variable. -

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Write the expression in the standard form a + bi. -9(8 - 9i)

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