Exam 1: Some Basic Concepts of Arithmetic and Algebra

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The quotient of zero and a negative integer is zero.

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Simplify the algebraic expression below by combining similar terms. ( m + 21) −- ( m + 8) −- ( m + 25) −- 10( m + 19)

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Evaluate the algebraic expression for the given values of the variables. 4(4a−5b)4 ( 4 a - 5 b ) for a=−2a = - 2 and b=−4b = - 4 .

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What is the greatest common factor of m and s if m and s are nonzero whole numbers and s is a multiple of m ?

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The Dead Sea is approximately thirteen hundred ten feet below sea level. Suppose that you are standing eight hundred eight feet above the Dead Sea. Use the addition of integers to describe this situation and to determine your elevation.

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Add or subtract as indicated. 1−8+1−5−61 - 8 + 1 - 5 - 6

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Evaluate the algebraic expression below for the given values of the variables. 5 b + 8 z for b = -5 and z = 3

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The set of negative integers is {…,−3,−2,−1,0}\{ \ldots , - 3 , - 2 , - 1,0 \} .

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Evaluate the algebraic expression below for the given values of the variables. 7 b + 6 a for b = -2 and a = 5.

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Simplify the numerical expression below. 45+205−81−369\frac { 45 + 20 } { 5 } - \frac { 81 - 36 } { 9 }

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Simplify the numerical expression below. 10(−9)+9(−3)10 ( - 9 ) + 9 ( - 3 )

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Use the divisibility rules to help determine the prime factorization of the number below. 155

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Find the least common multiple of the numbers below. 58 and 14

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What is the greatest common factor of x and s if x and s are nonzero whole numbers and s is a multiple of x ?

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Use the commutative property of multiplication to rewrite the expression below. −- 25(24)

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Evaluate the algebraic expression for the given values of the variables. −- x −- y for x = 9 and y = 3

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Find the least common multiple of the numbers below. 174, 186 and 114

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Use the divisibility rules to help determine the prime factorization of the number below. 85

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Evaluate the algebraic expression below for the given values of the variables. (ab−c)(a+c)( a b - c ) ( a + c ) for a = 2, b = 8 and c = 6

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Evaluate the algebraic expression below for the given values of the variables. x + y −- z for x = 12, y = 12 and z = 5

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