Explanation Forms of the Distributive Axiom: The Distributive Axiom distributes multiplication over addition: a ( b + c ) = a ⋅ b + a ⋅ c a ⋅ b + a ⋅ c = a ( b + c ) The Distributive Axiom distributes multiplication over subtraction: a ( b − c ) = a ⋅ b − a ⋅ c a ⋅ b − a ⋅ c = a ( b − c ) Calculation: Given: ( 3 x + 2 ) + ( 2 x − 3 ) − ( x + 1 ) Now we have to simplify by combining similar terms. Remove parentheses: ( a ) = a By expanding the last bracket, we have to multiply its content by ( -1 ) This gives us:

Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

Author: Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher: Cengage,

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Chapter A.2, Problem 4E

To determine

To simplify:

(3x+2)+(2x−3)−(x+1)

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Chapter A.2, Problem 3E

Chapter A.2, Problem 5E

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Chapter A Solutions

Elementary Geometry For College Students, 7e

Ch. A.1 - Which axiom of equality is illustrated in each of...Ch. A.1 - Prob. 2E Ch. A.1 - Prob. 3E Ch. A.1 - Prob. 4E Ch. A.1 - Prob. 5E Ch. A.1 - Prob. 6E Ch. A.1 - Prob. 7E Ch. A.1 - Prob. 8E Ch. A.1 - Prob. 9E Ch. A.1 - Prob. 10E

Ch. A.1 - Prob. 11E Ch. A.1 - Prob. 12E Ch. A.1 - The four owners of a shop realize a loss of 240 in...Ch. A.1 - Bill works at a weekend convention by selling...Ch. A.1 - Use the Distributive Axiom to simplify each...Ch. A.1 - Use the Distributive Axiom to simplify each...Ch. A.1 - Simplify each expression: a 6+4 c 16x2y9x2y b...Ch. A.1 - Prob. 18E Ch. A.1 - Prob. 19E Ch. A.1 - Prob. 20E Ch. A.1 - Prob. 21E Ch. A.1 - Prob. 22E Ch. A.1 - Prob. 23E Ch. A.1 - Prob. 24E Ch. A.1 - Prob. 25E Ch. A.1 - Prob. 26E Ch. A.1 - Prob. 27E Ch. A.1 - Prob. 28E Ch. A.1 - Prob. 29E Ch. A.1 - Prob. 30E Ch. A.2 - In Exercises 1 to 6, simplify by combining similar...Ch. A.2 - Prob. 2E Ch. A.2 - Prob. 3E Ch. A.2 - Prob. 4E Ch. A.2 - Prob. 5E Ch. A.2 - Prob. 6E Ch. A.2 - Prob. 7E Ch. A.2 - Prob. 8E Ch. A.2 - Prob. 9E Ch. A.2 - Prob. 10E Ch. A.2 - Prob. 11E Ch. A.2 - Prob. 12E Ch. A.2 - Prob. 13E Ch. A.2 - Prob. 14E Ch. A.2 - Prob. 15E Ch. A.2 - Prob. 16E Ch. A.2 - Prob. 17E Ch. A.2 - Prob. 18E Ch. A.2 - Prob. 19E Ch. A.2 - Prob. 20E Ch. A.2 - Prob. 21E Ch. A.2 - Prob. 22E Ch. A.2 - Prob. 23E Ch. A.2 - Prob. 24E Ch. A.2 - Prob. 25E Ch. A.2 - Prob. 26E Ch. A.2 - Prob. 27E Ch. A.2 - Prob. 28E Ch. A.2 - Prob. 29E Ch. A.2 - Prob. 30E Ch. A.2 - Prob. 31E Ch. A.2 - Prob. 32E Ch. A.2 - Prob. 33E Ch. A.2 - Prob. 34E Ch. A.2 - Prob. 35E Ch. A.2 - Prob. 36E Ch. A.3 - If line segment AB and line segment CD in the...Ch. A.3 - Prob. 2E Ch. A.3 - Prob. 3E Ch. A.3 - Prob. 4E Ch. A.3 - Prob. 5E Ch. A.3 - Prob. 6E Ch. A.3 - Prob. 7E Ch. A.3 - Prob. 8E Ch. A.3 - Prob. 9E Ch. A.3 - Of several angles, the degree measures are related...Ch. A.3 - Prob. 11E Ch. A.3 - Prob. 12E Ch. A.3 - Prob. 13E Ch. A.3 - Prob. 14E Ch. A.3 - Prob. 15E Ch. A.3 - Prob. 16E Ch. A.3 - Prob. 17E Ch. A.3 - Prob. 18E Ch. A.3 - Prob. 19E Ch. A.3 - Prob. 20E Ch. A.3 - Prob. 21E Ch. A.3 - Prob. 22E Ch. A.3 - Prob. 23E Ch. A.3 - Prob. 24E Ch. A.3 - Prob. 25E Ch. A.3 - Prob. 26E Ch. A.3 - Prob. 27E Ch. A.3 - Prob. 28E Ch. A.3 - Prob. 29E Ch. A.3 - Prob. 30E Ch. A.3 - Prob. 31E Ch. A.3 - Prob. 32E Ch. A.4 - Prob. 1E Ch. A.4 - Note: Exercises preceded by an asterisk are of a...Ch. A.4 - Prob. 3E Ch. A.4 - Prob. 4E Ch. A.4 - Prob. 5E Ch. A.4 - Prob. 6E Ch. A.4 - In Exercises 5 to 8, factor each difference of two...Ch. A.4 - In Exercises 5 to 8, factor each difference of two...Ch. A.4 - Prob. 9E Ch. A.4 - Prob. 10E Ch. A.4 - In Exercises 9 to 16, factor each trinomial...Ch. A.4 - Prob. 12E Ch. A.4 - Prob. 13E Ch. A.4 - Prob. 14E Ch. A.4 - Prob. 15E Ch. A.4 - Prob. 16E Ch. A.4 - Prob. 17E Ch. A.4 - Prob. 18E Ch. A.4 - Prob. 19E Ch. A.4 - Prob. 20E Ch. A.4 - Prob. 21E Ch. A.4 - Prob. 22E Ch. A.4 - Prob. 23E Ch. A.4 - Prob. 24E Ch. A.4 - Prob. 25E Ch. A.4 - Prob. 26E Ch. A.4 - Prob. 27E Ch. A.4 - Prob. 28E Ch. A.4 - In Exercises 25 to 32, solve each quadratic...Ch. A.4 - In Exercises 25 to 32, solve each quadratic...Ch. A.4 - Prob. 31E Ch. A.4 - Prob. 32E Ch. A.4 - Prob. 33E Ch. A.4 - Prob. 34E Ch. A.4 - Prob. 35E Ch. A.4 - Prob. 36E Ch. A.4 - Given that the area of the rectangle shown is 66,...Ch. A.4 - Determine the length x by solving either the...Ch. A.4 - Find the length a by solving the equation...Ch. A.4 - Prob. 40E Ch. A.4 - Prob. 41E Ch. A.5 - Use your calculator to find the approximate value...Ch. A.5 - Prob. 2E Ch. A.5 - Prob. 3E Ch. A.5 - Prob. 4E Ch. A.5 - Prob. 5E Ch. A.5 - Prob. 6E Ch. A.5 - Prob. 7E Ch. A.5 - Prob. 8E Ch. A.5 - Use your calculator to verify that the following...Ch. A.5 - Prob. 10E Ch. A.5 - Prob. 11E Ch. A.5 - Prob. 12E Ch. A.5 - Prob. 13E Ch. A.5 - Prob. 14E Ch. A.5 - Prob. 15E Ch. A.5 - Prob. 16E Ch. A.5 - Prob. 17E Ch. A.5 - Prob. 18E Ch. A.5 - Prob. 19E Ch. A.5 - Prob. 20E Ch. A.5 - Prob. 21E Ch. A.5 - Prob. 22E Ch. A.5 - Prob. 23E Ch. A.5 - Prob. 24E Ch. A.5 - Prob. 25E Ch. A.5 - Prob. 26E Ch. A.5 - Prob. 27E Ch. A.5 - Prob. 28E Ch. A.5 - Prob. 29E Ch. A.5 - Prob. 30E Ch. A.5 - Prob. 31E Ch. A.5 - Prob. 32E Ch. A.5 - Prob. 33E Ch. A.5 - Prob. 34E Ch. A.5 - Prob. 35E Ch. A.5 - Prob. 36E Ch. A.5 - Prob. 37E Ch. A.5 - Prob. 38E Ch. A.5 - Prob. 39E

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( 3 x + 2 ) + ( 2 x − 3 ) − ( x + 1 )

Solution Summary: The author explains how the Distributive Axiom distributes multiplication over addition by combining similar terms.

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To simplify: (3x+2)+(2x−3)−(x+1)

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Chapter A Solutions

To simplify:

(3x+2)+(2x−3)−(x+1)