Exam 1: The Real Numbers

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Which alternative equals the fraction Which alternative equals the fraction   ? ?

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C

Expand the given expression. (x + 4y - r)(2z - w + 4t)

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2xz - xw + 4xt + 8yz - 4yw + 16yt - 2rz + rw - 4rt

Find all numbers x satisfying the equation. If there is more than one answer, enter the largest one first and separate them by commas. Find all numbers x satisfying the equation. If there is more than one answer, enter the largest one first and separate them by commas.

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Which of the following sets corresponds to the interval [1, 9]? I Which of the following sets corresponds to the interval [1, 9]? I    II    III   II Which of the following sets corresponds to the interval [1, 9]? I    II    III   III Which of the following sets corresponds to the interval [1, 9]? I    II    III

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Which of the following expressions always represents an irrational number?

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A solution of the simultaneous equations A solution of the simultaneous equations  And  Is an ordered pair of the form (a, b). How many solutions have these simultaneous equations?And A solution of the simultaneous equations  And  Is an ordered pair of the form (a, b). How many solutions have these simultaneous equations?Is an ordered pair of the form (a, b). How many solutions have these simultaneous equations?

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Simplify the given expression as much as possible. Simplify the given expression as much as possible.

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Find all numbers x satisfying the equation. Find all numbers x satisfying the equation.

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Simplify the given expression as much as possible. 2(5N + 3(M - 2N)) + 4N

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Simplify the given expression as much as possible. Simplify the given expression as much as possible.

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Find all numbers x satisfying the equation. If there is more than one answer, enter the largest one first and separate them by commas. Find all numbers x satisfying the equation. If there is more than one answer, enter the largest one first and separate them by commas.

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The number The number     is an irrational number. is an irrational number.

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Perform the following operations. Perform the following operations.

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Which of the following expressions equals 0? (Assume x is not zero.) I. 3x - x II. Which of the following expressions equals 0? (Assume x is not zero.) I. 3x - x II.   III.  III. Which of the following expressions equals 0? (Assume x is not zero.) I. 3x - x II.   III.

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Find all numbers x satisfying the equation. If there is more than one answer, enter the largest one first and separate them by commas. Find all numbers x satisfying the equation. If there is more than one answer, enter the largest one first and separate them by commas.

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Simplify the given expression as much as possible. Simplify the given expression as much as possible.

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Perform the following operations. Perform the following operations.

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Find an irrational number A such that Find an irrational number A such that  Is a positive rational number.Is a positive rational number.

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Expand the given expression. (6x - 5)(6x3 + 7x2 + 11x).

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Fill in the blanks. Fill in the blanks.

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