Exam 1: Preliminaries

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Find the slope of the line shown in the figure. Find the slope of the line shown in the figure.   m = __________ m = __________

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Solve the equation by using the quadratic formula. Solve the equation by using the quadratic formula.

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Find the coordinates of the points that are Find the coordinates of the points that are   units away from the origin and have an x-coordinate equal to   . units away from the origin and have an x-coordinate equal to Find the coordinates of the points that are   units away from the origin and have an x-coordinate equal to   . .

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A manufacturer of a certain commodity has estimated that her profit in thousands of dollars is given by the expression A manufacturer of a certain commodity has estimated that her profit in thousands of dollars is given by the expression   where x (in thousands) is the number of units produced. What production range will enable the manufacturer to realize a profit of at least $18,000 on the commodity? where x (in thousands) is the number of units produced. What production range will enable the manufacturer to realize a profit of at least $18,000 on the commodity?

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Find the distance between the points (-3, -4) and (6, 10).

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Determine whether Determine whether   ,   , and   lie on a straight line. , Determine whether   ,   , and   lie on a straight line. , and Determine whether   ,   , and   lie on a straight line. lie on a straight line.

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Refer to the following figure. Which points have a negative x-coordinate and a negative y-coordinate? Refer to the following figure. Which points have a negative x-coordinate and a negative y-coordinate?

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Rationalize the denominator of the expression. Rationalize the denominator of the expression.

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Refer to the following figure. Which points have a negative x-coordinate and a positive y-coordinate? Refer to the following figure. Which points have a negative x-coordinate and a positive y-coordinate?

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Determine whether the statement below is true for positive real numbers a. |a + 8| = |a| + 8

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Find an equation of the line that has slope m = 5 and y-intercept b = 2.

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Solve the equation by using the quadratic formula. Solve the equation by using the quadratic formula.

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Determine whether the points A(-3, 7), B(2, -3), and C(9, -16) lie on a straight line. Answer yes or no.

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Perform the indicated operations and simplify the expression. Perform the indicated operations and simplify the expression.

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Find an equation of the line that passes through the points (9, 3) and (11, 21).

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Perform the indicated operations and simplify the expression. Perform the indicated operations and simplify the expression.

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Write the equation in the slope-intercept form and then find the slope and Write the equation in the slope-intercept form and then find the slope and   -intercept of the corresponding line.  -intercept of the corresponding line. Write the equation in the slope-intercept form and then find the slope and   -intercept of the corresponding line.

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Find the slope of the line shown in the figure. Find the slope of the line shown in the figure.

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Find an equation of the line that passes through the point (9, 7) and is perpendicular to the line 5x + 3y - 4 = 0.

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Rationalize the numerator of the expression. Rationalize the numerator of the expression.

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