Intermediate Algebra – Student Workbook – Second Edition 2013

More documents

Recommendations

Info

$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 5b - Solving Quadratic Equations Mini-Lesson Problem 6 YOU TRY – SOLVING QUADRATIC EQUATIONS: GCF and Trial/Error Use an appropriate factoring method to solve each of the quadratic equations below. Verify your result by graphing and using the Intersection method. a) Solve 2x 2 + 6x = 0 [Hint: Use GCF] b) Solve x 2 + 3x – 10 = 0 c) Solve 2x 2 - 3x = 2 Scottsdale Community College Page 218 Intermediate Algebra
Lesson 5b - Solving Quadratic Equations Mini-Lesson Solving Quadratic Equations – Using the Quadratic Formula Our final method for solving quadratic equations involves use of something called the Quadratic Formula. This is a brute force method that can sometimes help you if you are stuck on factoring. Solving Quadratic Equations Using the Quadratic Formula 1. Place the quadratic equation in standard form (i.e. set = 0). 2. Identify the coefficients a, b, c 3. Substitute these values into the quadratic formula below 4. Simplify your result completely Quadratic Formula: x = b b 2 4ac 2a Do you wonder where this formula came from? Well, you can actually derive this formula directly from the quadratic equation in standard form ax 2 + bx + c = 0using a factoring method called COMPLETING THE SQUARE. You will not be asked to use COMPLETING THE SQUARE in this class, but go through the information below and try to follow each step. How to Derive the Quadratic Formula From ax 2 + bx + c = 0 ax 2 + bx + c = 0 2 b c x x [Subtract c from both sides then divide all by a] a a 2 2 2 b b c b x x [Take the coefficient of x, divide it by 2, square it, and add to both sides] 2 2 a 4a a 4a x b 2 4ac b 2 2 2a 4a 4a 2 [Factor the left side. On the right side, get a common denominator of 4a 2 ] 2 2 b b 4ac x 2 2a 4a b x 2a x b 2a b 2 4ac 2a b 2 4ac 2a [Solve for x] b x b 2 4ac 2a [Combine the right side to one fraction then take square root of both sides] [Simplify the square roots] [Combine into one fraction to obtain the final form for the Quadratic Formula] Scottsdale Community College Page 219 Intermediate Algebra
Page 1 and 2:
Scottsdale Community College Interm
Page 3 and 4:
Table of Contents Lesson 1a - Intro
Page 5 and 6:
Lesson 1a - Introduction to Functio
Page 7 and 8:
Name: _____________________ Date: _
Page 9 and 10:
Page 11 and 12:
Page 13 and 14:
Page 15 and 16:
Page 17 and 18:
Page 19 and 20:
Page 21 and 22:
Name: _____________________ Date: _
Page 23 and 24:
Page 25 and 26:
Page 27 and 28:
Page 29 and 30:
Name: _____________________ Date: _
Page 31 and 32:
Lesson 1b - Linear Equations In the
Page 33 and 34:
Name: _____________________ Date: _
Page 35 and 36:
Lesson 1b - Linear Equations Mini-L
Page 37 and 38:
Page 39 and 40:
Page 41 and 42:
Page 43 and 44:
Page 45 and 46:
Name: _____________________ Date: _
Page 47 and 48:
Lesson 1b - Linear Equations Practi
Page 49 and 50:
Page 51 and 52:
Page 53 and 54:
Name: _____________________ Date: _
Page 55 and 56:
Lesson 2a - Linear Functions and Ap
Page 57 and 58:
Name: _____________________ Date: _
Page 59 and 60:
Page 61 and 62:
Page 63 and 64:
Page 65 and 66:
Page 67 and 68:
Page 69 and 70:
Name: _____________________ Date: _
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Name: _____________________ Date: _
Page 77 and 78:
Lesson 2b - Functions and Function
Page 79 and 80:
Name: _____________________ Date: _
Page 81 and 82:
Page 83 and 84:
Page 85 and 86:
Page 87 and 88:
Page 89 and 90:
Page 91 and 92:
Name: _____________________ Date: _
Page 93 and 94:
Page 95 and 96:
Page 97 and 98:
Name: _____________________ Date: _
Page 99 and 100:
Lesson 3a - Introduction to Exponen
Page 101 and 102:
Name: _____________________ Date: _
Page 103 and 104:
Page 105 and 106:
Page 107 and 108:
Page 109 and 110:
Page 111 and 112:
Page 113 and 114:
Page 115 and 116:
Page 117 and 118:
Name: _____________________ Date: _
Page 119 and 120:
Page 121 and 122:
Page 123 and 124:
Name: _____________________ Date: _
Page 125 and 126:
Lesson 3b - More Exponential Functi
Page 127 and 128:
Name: _____________________ Date: _
Page 129 and 130:
Page 131 and 132:
Page 133 and 134:
Page 135 and 136:
Page 137 and 138:
Name: _____________________ Date: _
Page 139 and 140:
Page 141 and 142:
Page 143 and 144:
Page 145 and 146:
Name: _____________________ Date: _
Page 147 and 148:
Lesson 4a - Introduction to Logarit
Page 149 and 150:
Name: _____________________ Date: _
Page 151 and 152:
Page 153 and 154:
Page 155 and 156:
Page 157 and 158:
Page 159 and 160:
Name: _____________________ Date: _
Page 161 and 162:
Page 163 and 164:
Name: _____________________ Date: _
Page 165 and 166:
Lesson 4b - More on Logarithms This
Page 167 and 168:
Name: _____________________ Date: _
Page 169 and 170:
Lesson 4b - More on Logarithms Mini
Page 171 and 172: Lesson 4b - More on Logarithms Mini
Page 177 and 178: Name: _____________________ Date: _
Page 179 and 180: Lesson 4b - More on Logarithms Prac
Page 187 and 188: Lesson 5a - Introduction to Quadrat
Page 211 and 212: Lesson 5b - Solving Quadratic Equat
Page 221: Lesson 5b - Solving Quadratic Equat
Page 243 and 244: Lesson 6a - Exponents and Rational
Page 267 and 268: Lesson 6b - Rational Exponents & Ra
Page 271 and 272: Lesson 6b - Rational Exponents and
Page 273 and 274:
Lesson 6b - Rational Exponents and
Page 275 and 276:
Page 277 and 278:
Page 279 and 280:
Name: _____________________ Date: _
Page 281 and 282:
Page 283 and 284:
Page 285 and 286:
Name: _____________________ Date: _
Page 287 and 288:
Appendix A: You Try Answers Lesson
Page 289 and 290:
Appendix A: You Try Answers You Try
Page 291 and 292:
Page 293 and 294:
show all

Intermediate Algebra – Student Workbook – Second Edition 2013

Create successful ePaper yourself

Delete template?

Save as template?