By Charles P. McKeague
For the fashionable pupil like you--Pat McKeague's INTERMEDIATE ALGEBRA, 9E--offers concise writing, non-stop overview, and modern functions to teach you the way arithmetic connects in your smooth global. the hot variation keeps to mirror the author's ardour for educating arithmetic by way of delivering guided perform, evaluate, and reinforcement that can assist you construct talents via hundreds and hundreds of recent examples and purposes. Use the examples, perform routines, tutorials, video clips, and booklet sections in better WebAssign to perform your abilities and display your wisdom.
Read Online or Download Intermediate algebra : a text/workbook PDF
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Additional info for Intermediate algebra : a text/workbook
Example text
4( - 7 e. f. 2) . g. - 3(2x) h. - 5(4a ) h. i. - 6(x + 2) i. - 3(4a + I) j. J. g. (7)(3) = 21 = - 21 ( - 7)(3) = - 2 1 = 21 (4)( - 3)( - 2) = - 12( - 2) = 24 (5)( 3 . 2) 5( - 6) = - 30 - 4(5x) = ( - 4 5)x - 20x - 2(7a ) = ( - 2 7)a = - Associative property · = Multiplication = - 14a Associative property · - 3(x) + ( - 3 )4 - 3x - 1 2 - 2(3a + 5 ) = - 2(3a) + ( - 2)(5) - 3(x + 4) = = = - 6a - lO Multiplication Distributive property Multiplication Distributive property Multiplication Division of Real Numbers In order to have as few rules as possible in building our system of algebra, we will now define division for two real numbers in terms of multiplication.
It is not actually necessary to show this step when working problems. Review of Division with Fractions We can also use the definition of division to review division with fractions. T Example Solution T a. Divide: 3 To divide by Example 4 6 3 11 33 = 24 Definition of division c. io + 65 = = IO 6 T. ;. 6 5 = -- = = 5 9· 4. Divide and reduce to lowest terms. ,.. 7 3 6 3 Definition of division b. 12 + 43 Multiply numerators, multiply denominators 5 12 + Multiply numerators, multiply denominators Divide numerator and denominator by b.
The following example illustrates this rule for finding products of positive � an negative numbers. Practice Problems V 1. Multiply. Exa mple I a. 6(2) a. b. 6(-2) b. - 6(2) c. (7)( - 3) d. -6(-2) d. ( - 7)( - 3) e. - 2(5)( - 1 ) c. f. 4( - 7 e. f. 2) . g. - 3(2x) h. - 5(4a ) h. i. - 6(x + 2) i. - 3(4a + I) j. J. g. (7)(3) = 21 = - 21 ( - 7)(3) = - 2 1 = 21 (4)( - 3)( - 2) = - 12( - 2) = 24 (5)( 3 . 2) 5( - 6) = - 30 - 4(5x) = ( - 4 5)x - 20x - 2(7a ) = ( - 2 7)a = - Associative property · = Multiplication = - 14a Associative property · - 3(x) + ( - 3 )4 - 3x - 1 2 - 2(3a + 5 ) = - 2(3a) + ( - 2)(5) - 3(x + 4) = = = - 6a - lO Multiplication Distributive property Multiplication Distributive property Multiplication Division of Real Numbers In order to have as few rules as possible in building our system of algebra, we will now define division for two real numbers in terms of multiplication.
