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MAT_1033_Fall_11_Exam_3_Review

MAT_1033_Fall_11_Exam_3_Review - MAT 1033 Fall 11 Ref...

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MAT 1033 Fall 11 Ref: 637104 Mr. Guillen Review for Exam 3 Exam 3 will be on 11/18/11 and covers the following sections: 10.4, 10.5, 10.6, 10.7, 7.1, 7.2. Simplify. Assume all variables have nonnegative values. 1) 13 3 + 6 3 1) 2) 4 13 + 9 19 - 6 13 + 5 19 2) 3) 3m 2 4 11m 3 - 6m 2 4 11m 3 3) 4) 3t 2 4 11t 3 + 7t 2 3 11t 3 4) 5) 9 x + 3 x 5) Simplify the radicals and then find the sum or difference. Assume all variables have nonnegative values. 6) 539x + 44x 6) 7) 108 - 4 108 7) 8) - 4 128 - 4 32 - 8 8 8) 9) 27 + 8 12 - 10 243 9) 10) - 5 605 - 3 343 - 125 - 2 63 10) 11) 2 3 27x + 2 3 125x 11) Use the distributive property. 12) 11 (7 + 11 ) 12) 13) 11 ( 3 + 3 55 ) 13) 14) 4 3 (4 3 - 4 15 ) 14) Multiply using FOIL. Assume all variables have nonnegative values. 15) ( 2 + 13 )( 13 + 3 ) 15) 16) (5 2 + 3 7 )(3 17 + - 3 13 ) 16) 17) (3 w - z )(5 w + 4 z ) 17)
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18) ( 3 49 + 6)( 3 49 - 3) 18) 19) ( 3 9 + 3 121 )( 3 3 - 3 11 ) 19) Find the product. 20) (3 + 5 ) 2 20) 21) (2 - 3 5 ) 2 21) 22) (4 11 + 5 11 ) 2 22) Multiply the conjugates. Assume all variables have nonnegative values. 23) (6 + 5 )(6 - 5 ) 23) 24) ( 11 - 7 )( 11 + 7 ) 24) 25) (2 3 - 8 2 )(2 3 + 8 2 ) 25) 26) (7 x + y )(7 x - y ) 26) 27) ( 5x + y)( 5x - y) 27) Simplify. 28) 7 2 · 22 + 6 22 · 50 28) 29) 1694 2 - 3 63 29) Rationalize the denominator. Assume variables represent non - negative values.
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