Exam 1: Preliminaries

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Find the minimum profit P (in dollars) given that Find the minimum profit P (in dollars) given that   . .

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Use the fact that Use the fact that   to evaluate the expression without using a calculator.  to evaluate the expression without using a calculator. Use the fact that   to evaluate the expression without using a calculator.

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

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

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Find an equation of the circle with center at the origin that passes through (3, 5).

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Find an equation of the line that passes through the points (6, 7) and (8, 23).

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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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Find the slope of the line that passes through points Find the slope of the line that passes through points   and  and Find the slope of the line that passes through points   and

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Determine whether the statement is true or false. Determine whether the statement is true or false.

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

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Simplify the expression. Simplify the expression.

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If the line passing through the points (2, a) and (4, -8) is parallel to the line passing through the points (5, 5) and (-1, a + 13), what is the value of a? a = __________

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Suppose Suppose   and   are real numbers other than zero and that   . State whether the inequality is true or false.  and Suppose   and   are real numbers other than zero and that   . State whether the inequality is true or false.  are real numbers other than zero and that Suppose   and   are real numbers other than zero and that   . State whether the inequality is true or false.  . State whether the inequality is true or false. Suppose   and   are real numbers other than zero and that   . State whether the inequality is true or false.

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Refer to the following figure. What are the coordinates of point A? Refer to the following figure. What are the coordinates of point A?

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

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Refer to the following figure. Which point has coordinates (-3, 4)? Refer to the following figure. Which point has coordinates (-3, 4)?

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Find an equation of the line that has slope m = 7 and y-intercept b = 1.

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Evaluate the expression. Evaluate the expression.

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Find an equation of the circle with center at the origin that passes through (4, 5).

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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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