Exam 1: Some Basic Concepts of Arithmetic and Algebra

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Simplify the algebraic expression below by combining similar terms. 3 mf −- 11 m −- 20 mf + 26 m

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Simplify the algebraic expression below by combining similar terms. 25( p + 26) + 27( p + 9)

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Find the sum. −- 14 + ( −- 17)

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Use the additive identity property to simplify the expression below. -157 + 0

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Simplify the numerical expression. (-3)(-8) + (-9)(-5)

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19 is not a multiple of 6

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Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. ( y −- r ) −- ( y + r ) for y = 11, r = 14

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Find the greatest common factor of the numbers below. 145, 115 and 235

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Algebraic expressions that contain similar terms can be simplified by using the distributive property.

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Find the quotient. −324−18\frac { - 324 } { - 18 }

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Find the sum. −- 16 + ( −- 15)

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Evaluate the algebraic expression below for the given values of the variables. 8 t + 6 z for t = -4 and z = 9

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Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 13( z + w ) −- 9( z −- w ) for z = 7, w = 5

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Simplify the algebraic expression below by combining similar terms. 7 m + 16 r −- 18 m −- 2 r

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Use the divisibility rules to help determine the prime factorization of the following number. 22

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Select the correct statement below.

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Factor the composite number 100 into a product of prime numbers, for example 30=2⋅3⋅530 = 2 \cdot 3 \cdot 5 .

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Megan shot rounds of 3 over par, 2 under par, 5 under par, and 1 under par in a 4-day golf tournament. Use addition of integers to describe this situation, and determine how much over or under par she was for the tournament.

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Use the divisibility rules to help determine the prime factorization of the number below. 55

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Simplify the numerical expression below. ( −- 29 + 9) + 29

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