Exam 1: Equations, Inequalities, and Modeling

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Solve the absolute value inequality. Write the solution set using interval notation. -Solve the absolute value inequality. Write the solution set using interval notation. -

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Solve the problem. -Decide whether or not the points are the vertices of a right triangle. (-1, 0), (1, 4), (3, 3)

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Find the product of the complex number and its conjugate. -Find the product of the complex number and its conjugate. -

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Use the square root property to find all real or imaginary solutions to the equation. -Use the square root property to find all real or imaginary solutions to the equation. -  = 11 = 11

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Solve the problem. -The value, v, in hundreds of dollars, of Juan's computer is approximated by Solve the problem. -The value, v, in hundreds of dollars, of Juan's computer is approximated by   , where t is the number of years since he first bought the computer. Estimate the value of the computer 2 years after it was purchased. , where t is the number of years since he first bought the computer. Estimate the value of the computer 2 years after it was purchased.

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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. -[-10, 10] 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. -[-10, 10] k so that the inequality has the given solution set. -[-10, 10]

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Use the scatter diagram to determine whether there is a linear relationship, a nonlinear relationship, or no relationship between the variables. -Use the scatter diagram to determine whether there is a linear relationship, a nonlinear relationship, or no relationship between the variables. -

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Decide whether the given number is a solution to the equation preceding it. -p + 11 = 25; 14

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Use the square root property to find all real or imaginary solutions to the equation. -Use the square root property to find all real or imaginary solutions to the equation. -  - 726 = 0 - 726 = 0

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Solve the problem. -A grasshopper is perched on a reed 5 inches above the ground. It hops off the reed and lands on the ground about 7.9 inches away. During its hop, its height is given by the equation Solve the problem. -A grasshopper is perched on a reed 5 inches above the ground. It hops off the reed and lands on the ground about 7.9 inches away. During its hop, its height is given by the equation   , where x is the Distance in inches from the base of the reed, and h is in inches. How far was the grasshopper from the base of The reed when it was 3.75 inches above the ground? Round to the nearest tenth. , where x is the Distance in inches from the base of the reed, and h is in inches. How far was the grasshopper from the base of The reed when it was 3.75 inches above the ground? Round to the nearest tenth.

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Find the real or imaginary solutions by using the quadratic formula. -Find the real or imaginary solutions by using the quadratic formula. -  - 14x + 74 = 0 - 14x + 74 = 0

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

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Solve the problem. -From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 10 miles per hour and Fred rides 13 miles per hour. In how many hours will they be 115 miles apart?

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Solve the problem. -A repair company's charge for repairing a certain type of copy machine fits the model y = 47.38 + 0.617x where y is the number of dollars charged and x is the number of minutes the repair person is on the job. How many Minutes would it take for the cost of repair to reach $120? (Round to the nearest minute.)

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Graph the equation. -Graph the equation. -

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The distance d from the point The distance d from the point   to the line Ax + By = C is given by the formula d   Find the exact distance from the given point to the given line. -(3, 6), y = 5x - 8 to the line Ax + By = C is given by the formula d The distance d from the point   to the line Ax + By = C is given by the formula d   Find the exact distance from the given point to the given line. -(3, 6), y = 5x - 8 Find the exact distance from the given point to the given line. -(3, 6), y = 5x - 8

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Use the square root property to find all real or imaginary solutions to the equation. -Use the square root property to find all real or imaginary solutions to the equation. -  + 12 = 0 + 12 = 0

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Solve the problem. -Janet drove 325 kilometers and the trip took 5 hours. How fast was Janet traveling?

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Solve the problem. -Decide whether or not the points are the vertices of a right triangle. (7, 11), (13, 13), (19, 6)

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For the equation in the form For the equation in the form   + bx + c = 0, determine the number of real solutions by examining the graph of y =   + bx + c. -  + 8x - 12 = 0 + bx + c = 0, determine the number of real solutions by examining the graph of y = For the equation in the form   + bx + c = 0, determine the number of real solutions by examining the graph of y =   + bx + c. -  + 8x - 12 = 0 + bx + c. -For the equation in the form   + bx + c = 0, determine the number of real solutions by examining the graph of y =   + bx + c. -  + 8x - 12 = 0 + 8x - 12 = 0

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