Exam 1: Some Basic Concepts of Arithmetic and Algebra

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Find the sum. 68 + ( −- 86)

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Simplify the numerical expression below. −2(−4)+17−4(−5)−10+7(−6)- 2 ( - 4 ) + 17 - 4 ( - 5 ) - 10 + 7 ( - 6 )

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Use the divisibility rules to help determine the prime factorization of the number below. 51

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Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 28 p −- 16 p + 28 p −- 23 p −- 2 p −- 27 p for p = 10

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Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 21 m −- 22 m + 16 m −- 18 m −- 6 m −- 14 m for m = 8

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The greatest common factor of two whole numbers is the number that can be divided by both whole numbers.

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Find the least common multiple of the numbers below. 136, 152 and 184

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Select the correct statement below.

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Find the sum. −- 17 + ( −- 15)

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The horizontal format is used extensively in algebra, but occasionally the vertical format shows up. You should therefore have some exposure to the vertical format. Find the sum. -62 32

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Simplify the numerical expression. (-3)(-7) + (-8)(-6)

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Terms that have the same literal factors are called like terms or similar terms.

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Evaluate the algebraic expression for the given values of the variables for y = 1, f = 13 and h = 20. 7yf−6yh+10fh7 y f - 6 y h + 10 f h

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The horizontal format is used extensively in algebra, but occasionally the vertical format shows up. You should therefore have some exposure to the vertical format. Find the sum. -70 23

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If x is a negative integer, than −x- x is positive.

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Simplify the algebraic expression below, and then evaluate the resulting expression for the given values of the variables. 30( z + n ) −- 14( z −- n ) for z = 6, n = 10

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Evaluate the algebraic expression below for the given values of the variables. x + y −- z for x = 21, y = 17 and z = 7

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Find the greatest common factor of the numbers below. 65, 205 and 185

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Find the least common multiple of the numbers below. 203, 91 and 35

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In one work week, a small company showed a profit of $652 for one day and a loss of $68 for each of the other four days. Use multiplication and addition of integers to determine the company's profit or loss for the week. $__________

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