Exam 1: Preliminaries

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

(Multiple Choice)
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Determine whether the line through each pair of points is parallel. Answer parallel or not parallel. A(4, -1), B(-3, -36) and C(4, 4), D(-1, -6)

(Short Answer)
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Determine whether the line through each pair of points is perpendicular. A(4, 10), B(9, 7) and C(-3, -6), D(0, 0)

(Multiple Choice)
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Refer to the following figure. Which point has coordinates (-8, 3)? Refer to the following figure. Which point has coordinates (-8, 3)?

(Short Answer)
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Determine whether the statement is true or false. The point ( -n, m) is symmetric to the point (n, m) with respect to the y-axis.

(True/False)
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Rationalize the numerator of the expression. Rationalize the numerator of the expression.

(Multiple Choice)
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Determine whether the statement below is true for all real numbers b. |b + 8| = |b| + 8

(True/False)
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Find the distance between the points Find the distance between the points   and   . and Find the distance between the points   and   . .

(Essay)
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Determine whether the line through each pair of points is perpendicular. Answer perpendicular or not perpendicular. A(4, 10), B(7, 7) and C(-4, -8), D(1, -3)

(Short Answer)
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Refer to the following figure and determine the coordinates of point Refer to the following figure and determine the coordinates of point   and the quadrant in which it is located.  and the quadrant in which it is located. Refer to the following figure and determine the coordinates of point   and the quadrant in which it is located.

(Multiple Choice)
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Determine whether the points A(-2, 9), B(4, -1), and C(7, -6) lie on a straight line.

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Find an equation of the circle with radius 5 and center (-3, 2).

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A salesman's monthly commission is 15% on all sales over $11,000. If his goal is to make a commission of at least $2,400/month, what minimum monthly sales figures must he attain?

(Multiple Choice)
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Refer to the following figure. Which points have negative y-coordinates? Refer to the following figure. Which points have negative y-coordinates?

(Multiple Choice)
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Expand the expression. Expand the expression.

(Multiple Choice)
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If the slope of the line If the slope of the line   is negative, then the slope of a line   perpendicular to   may be positive or negative? is negative, then the slope of a line If the slope of the line   is negative, then the slope of a line   perpendicular to   may be positive or negative? perpendicular to If the slope of the line   is negative, then the slope of a line   perpendicular to   may be positive or negative? may be positive or negative?

(Multiple Choice)
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Simplify the expression. Simplify the expression.

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Rewrite the expression using positive exponents only. Rewrite the expression using positive exponents only.

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Simplify the expression. Simplify the expression.

(Essay)
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Evaluate the expression. Evaluate the expression.

(Short Answer)
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