Exam 1: Equations, Inequalities, and Modeling

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Use the method of your choice to find all real solutions of the equation. -Use the method of your choice to find all real solutions of the equation. -  + 19b - 7 = -13 + 19b - 7 = -13

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Solve the problem. -On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up 6%. How much did the investor pay for the 100 shares if he sold them Wednesday morning for $1378.00?

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Solve the problem. -Decide whether or not the points are the vertices of a right triangle. (-5, 0), (1, 2), (5, -10)

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Evaluate the expression Evaluate the expression   for each choice of a, b, and c. -a = 1, b = 0, c = 25 for each choice of a, b, and c. -a = 1, b = 0, c = 25

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Find the slope of the line containing the pair of points. -(-7, -4), (8, 4)

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Write an inequality whose solution set is the interval. -Write an inequality whose solution set is the interval. -

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Solve the problem. -In the first two weeks of school, Jill studied 20 hours and 15 hours, respectively. How many hours must she study during the third week to give her an average of 20 hours per week?

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Find the solutions to the equation by reading the graph. -Find the solutions to the equation by reading the graph. -

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Solve the absolute value equation. -Solve the absolute value equation. -

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Write an absolute value inequality that has the given solution set. -Write an absolute value inequality that has the given solution set. -

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Write as a single interval. -Write as a single interval. -

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Solve the problem. -It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 40 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired Strength?

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Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -( Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -(

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Find the equation of the line through the given pair of points in standard form using only integers. -(-3, 3) and (3, 8)

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Find the equation of the line through the given pair of points in standard form using only integers. -(3, 1) and (-2, 6)

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Name the quadrant in which the point is located, or the axis on which it lies . -(-4, 0)

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Solve the absolute value equation. -4 Solve the absolute value equation. -4

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Solve for the indicated variable. -Solve for t. Solve for the indicated variable. -Solve for t.

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Solve the problem. -The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find a formula for that function. Solve the problem. -The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find a formula for that function.

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Write an inequality of the form Write an inequality of the form   k or of the form   k so that the inequality has the given solution set. -[-12, 2] k or of the form Write an inequality of the form   k or of the form   k so that the inequality has the given solution set. -[-12, 2] k so that the inequality has the given solution set. -[-12, 2]

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