Exam 2: The Real Numbers

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The least common multiple of the denominator is the called the least common denominator (LCD).

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Answer the question with an algebraic expression. Donna had d dimes and q quarters in her bank. How much money, in cents, does she have?

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Answer the question with an algebraic expression. Willie is y years old and his father is 2 years less than twice Willie's age. What represents the sum of their ages?

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Seven times the sum of z and 3 w is 7z+3w7 z + 3 w .

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Add the fractions below, and express the answer in lowest terms. 78x+5x\frac { 7 } { 8 x } + \frac { 5 } { x }

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Answer the question with an algebraic expression. The width of a rectangle is y feet and its length is 8 feet more than twice its width. What is the perimeter of the rectangle in feet?

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Subtract as indicated, and express your answer in lowest terms. −4−25- 4 - \frac { 2 } { 5 }

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Evaluate algebraic expression below for the given values of the variables. 7t2−3n27 t ^ { 2 } - 3 n ^ { 2 } if t = 2 and n = 6

(Multiple Choice)
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Simplify the numerical expression and express your answer in reduced form. 45÷98+812⋅39−912\frac { 4 } { 5 } \div \frac { 9 } { 8 } + \frac { 8 } { 12 } \cdot \frac { 3 } { 9 } - \frac { 9 } { 12 }

(Multiple Choice)
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Perform the indicated operations below, and express the answer in its reduced form. (32bx2v2)÷(40bxv)\left( \frac { 32 b } { x ^ { 2 } v ^ { 2 } } \right) \div \left( \frac { 40 b } { x v } \right) (It may be necessary to enter the numerator and/or the denominator within parentheses.)

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Answer the question with an algebraic expression. Sue can type w words per minute. How many words can she type in 3 hours?

(Multiple Choice)
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Answer the question with an algebraic expression. If p pounds of candy cost d dollars, what is the price per pound?

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Simplify the algebraic expression by combining similar terms. x - 0.9 x - 1.7 x

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Simplify the following expression by combining similar terms. 3y10−5j6+3y10+9j63 y ^ { 10 } - 5 j ^ { 6 } + 3 y ^ { 10 } + 9 j ^ { 6 }

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Terms are similar if the variables and their exponents are the same.

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Use exponents to express the algebraic expression below in a more compact form. (7y4)(15y6)\left( 7 y ^ { 4 } \right) \left( 15 y ^ { 6 } \right)

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Multiply the fractions below, and express the answer in reduced form. 4c8z⋅10z35c\frac { 4 c } { 8 z } \cdot \frac { 10 z } { 35 c }

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Perform the operations as indicated, and express your answer in lowest terms. (3x4y)(5yx)(169x)\left( \frac { 3 x } { 4 y } \right) \left( \frac { 5 y } { x } \right) \left( \frac { 16 } { 9 x } \right)

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All integers, except 0, are rational numbers.

(True/False)
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The quotient of m and n is mn\frac { m } { n } .

(True/False)
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