Instructions: Answer each question on loose leaf, quad-ruled (graph pape Remember to fold paper along the center, work exercises in order top to pages, and insert them in order of first to last. Show your work neatly, se 15. For the equations below describe in words each step of your solution, e.g., 1+ 2(x - 3) = 4(x – 2) Multiply using the Distributive Property: 1+2x – 6 = 4x – 8 Combine like Terms using the Commutative Property of Addition 1-6+2x = 4x –8 -5 + 2x %3D = 4x – 8 Subtract 2x using the Equality Property of Addition -5+ 2x – 2x = 4x – 2x-8 Simplify by adding like terms -5 = 2x – 8 Add 8 to both sides by the Addition Property of Equality -5+8 = 2x – 8+ 8 Simplify by adding like terms: 3 = 2x Divide by 2 by the Division Property of Equality 3 2x 2 Simplify 3 -= x 2 a) 4x +5(7x - 3) = 9(x – 5) b) 8(4x - 1) - 12x = 18 - 3(16 – 3x) -b ± Vb? – 4ac 16. Evaluate the expression 2a where a = 1,b = 4,c = 3 %3D %3D II
Instructions: Answer each question on loose leaf, quad-ruled (graph pape Remember to fold paper along the center, work exercises in order top to pages, and insert them in order of first to last. Show your work neatly, se 15. For the equations below describe in words each step of your solution, e.g., 1+ 2(x - 3) = 4(x – 2) Multiply using the Distributive Property: 1+2x – 6 = 4x – 8 Combine like Terms using the Commutative Property of Addition 1-6+2x = 4x –8 -5 + 2x %3D = 4x – 8 Subtract 2x using the Equality Property of Addition -5+ 2x – 2x = 4x – 2x-8 Simplify by adding like terms -5 = 2x – 8 Add 8 to both sides by the Addition Property of Equality -5+8 = 2x – 8+ 8 Simplify by adding like terms: 3 = 2x Divide by 2 by the Division Property of Equality 3 2x 2 Simplify 3 -= x 2 a) 4x +5(7x - 3) = 9(x – 5) b) 8(4x - 1) - 12x = 18 - 3(16 – 3x) -b ± Vb? – 4ac 16. Evaluate the expression 2a where a = 1,b = 4,c = 3 %3D %3D II
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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