Exam 1: Prerequisites

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Evaluate Evaluate   when   and  when Evaluate   when   and  and Evaluate   when   and

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B

Simplify the rational expression below. Simplify the rational expression below.

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E

Simplify the variable expression below. Simplify the variable expression below.   a +   a a + Simplify the variable expression below.   a +   a a

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D

Write the following exponential expression in simplest form. Write the following exponential expression in simplest form.

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Given the points Given the points   and   Find a third point so that the three points form the vertices of a right triangle. and Given the points   and   Find a third point so that the three points form the vertices of a right triangle. Find a third point so that the three points form the vertices of a right triangle.

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Which of the following expressions is a binomial of degree 8? Which of the following expressions is a binomial of degree 8?

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Which label corresponds to the coordinates Which label corresponds to the coordinates   ?  ? Which label corresponds to the coordinates   ?

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Simplify the following rational expression. Simplify the following rational expression.

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Simplify the following radical expression. Simplify the following radical expression.

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Write the following number in scientific notation. 226,000

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Given points Given points   and   form the vertices of the base of a triangle, find a third point so that the three points form the vertices of an isosceles triangle. and Given points   and   form the vertices of the base of a triangle, find a third point so that the three points form the vertices of an isosceles triangle. form the vertices of the base of a triangle, find a third point so that the three points form the vertices of an isosceles triangle.

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Find the distance between the two points Find the distance between the two points   and   . and Find the distance between the two points   and   . .

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Perform the indicated operation below and simplify if possible by combining like terms. Write the result in standard form. Perform the indicated operation below and simplify if possible by combining like terms. Write the result in standard form.

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A quarterback is standing in the middle of the field 60 yards from his goal line. He passes the ball to a player 12 yards to his left on the 55 yard line. How long was the pass?

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Find the coordinates for the point that is ten units to the right of the y-axis and is eight units down from the x-axis.

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Find the distance between the two points Find the distance between the two points   and   . and Find the distance between the two points   and   . .

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Evaluate the expression below. Evaluate the expression below.

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Write each expression without absolute value symbols. Write each expression without absolute value symbols.

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Find the coordinates of the point labeled VI. Find the coordinates of the point labeled VI.

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Find the indicated product and express the result in simplest form. Find the indicated product and express the result in simplest form.

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