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Math 1100 Week Four

by: Kait Brown

Math 1100 Week Four MATH 1100.140

Kait Brown

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About this Document

Class Notes for Week Four
College Algebra
Mary Ann Barber
Class Notes
Zero, Product, property, quadratic formula, difference, squares
25 ?




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This 3 page Class Notes was uploaded by Kait Brown on Sunday September 25, 2016. The Class Notes belongs to MATH 1100.140 at University of North Texas taught by Mary Ann Barber in Fall 2016. Since its upload, it has received 4 views. For similar materials see College Algebra in Math at University of North Texas.


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Date Created: 09/25/16
Introduction to Chapter 1:  Difference of Squares: a -b =(a-b)(a+b)  Zero Product Property: ab=0; a, b=0 1.1 Linear Equations are first-degree equations in one variable that contain the equality symbol, “=”. Linear equation in the variable x can be expresses in the standard form, ax+b=c, where a ≠, b ∊ ℝ The domain is the largest set of acceptable input values. Of note, the denominator of a fraction cannot be equal to zero. 1.1.1 Solve ax+b=0, solve for x ax+(b-b)=(0-b) 1. Isolate x by subtracting b from both sides. x/a=-b/a 2. Divide both sides by a x=-b/a 1.1.2 Solve 5x-3=2x+8 -2x -2x 1. Subtract 2x from each side 3x-3=8 +3 +3 2. Add 3 to each side 3x=11 /3 /3 3. Divide each side by 3 x=11/3 1.1.3 Solve 400t-85=11-50t +50t +50t 1. Add 50t to each side 450t-85=11 +85 +85 2. Add 85 to each side 450t=96 /450 /450 3. Divide each side by 450 t=16/75 1.1.4 Solve 11-4(5+3x)+2(6x-7)=0 for x 11-4(5+3x)+2(6x-7)=0 11-20+12x+12x-14=0 1. Use distributive property 24x-23=0 2. Combine like terms x=-23/24 3. Simplify 1.1.5 2 Solve S=2πr +2πrh for h 2 2 S=2πrh +2πrh (S-2πrh )/(2πr)=h 1.1.6 x− = 5 6 2 24 x 1 5 24( 6 =2 24) 1. Multiply all by LCD a. Divide each denominator by 24 and multiply that integer by the numerator x 1 5 17 24(6 () ( 2 =24 24 4 x−12=5 4 x=17x= 4 1.1.7 2 x+1 3 +16=3 x 1. Multiply all by LCD 1(2x+1)+3 16 =3(3x) a. Remember to first divide three by the denominator before multiplying it by the numerator 2x+1+48=6x 2x+49=6x 49=7x 2. Combine common terms 49/7=7x/7 x=7 1.1.8 x 4 3 2 + = 2 1. Find LCD by factoring out x -9 (It’s (x-3)(x+3) x −9 x+3 x −9 Solving Using the Quadratic Formula -5x +7x+9 2 x= −b± √ −4ac x= −7± √9−4(−5)(9) 2a 2(−5)


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