Intermediate Algebra – Student Workbook – Second Edition 2013

More documents

Recommendations

Info

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

Lesson 1b – Linear Equations Mini-Lesson y-intercept Also called the VERTICAL INTERCEPT, this is the special ordered pair with coordinates (0, b). 0 is the value of x (input) and the resulting output, b, is the y-coordinate of the y-intercept. The y-intercept is often used to help when graphing a linear equation and/or to determine the initial output value in an application setting. Problem 2 WORKED EXAMPLE – DETERMINE Y-INTERCEPT FOR A LINEAR EQUATION There are 3 main methods for finding the y-intercept (also called the vertical intercept) of a linear equation. Method 1: Read the value of b from y=mx + b form. Method 2: Solve for y when x = 0 Method 3: Solve the equation for y and then read the value b Example 1: Find the y-intercept for the equation y = -2x + 6. This equation is written in the form y = mx + b. Therefore, (using Method 1) the y-intercept is (0, 6). Example 2: Find the y-intercept for the equation 4x + 2y = 6 If the equation is NOT in y = mx + b form. Using Method 2, set x to 0 and solve for y. 4x2y 6 Original Equation 4(0) 2y 6 Set x to 0 2y 6 Divide both sides by 2 2 2 y 3 y intercept is (0,3) Example 3: Find the y-intercept for the equation 4x + 2y = 6 In this example, we use method 3 to rewrite the equation in y=mx + b form. 4x2y 6 Original Equation 4x 4x 2y 6 4x Subtract 4x from both sides 2y 4x6 2 2 Divide both sides by 2 y 2x 3 y intercept is (0,3) Scottsdale Community College Page 30 Intermediate Algebra
Lesson 1b – Linear Equations Mini-Lesson Problem 3 MEDIA EXAMPLE – DETERMINE SLOPE/Y-INTERCEPT FOR LINEAR EQUATION Complete the problems below. Note: Method 1 and Method 3 will be used to find the y-intercept for all the problems below because we are also asked to determine the slope. Practice finding the y-intercept using Method 2 as well. Equation y = mx + b form Slope Y-intercept a) y = -2x +5 b) y = 2 – x c) y = 3 4 x + 2 d) 2x – y = 4 e) 3x + 2y = 6 f) 8x = 4y Scottsdale Community College Page 31 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 31 and 32: Lesson 1b - Linear Equations In the
Page 33: Name: _____________________ Date: _
Page 37 and 38: Lesson 1b - Linear Equations Mini-L
Page 47 and 48: Lesson 1b - Linear Equations Practi
Page 55 and 56: Lesson 2a - Linear Functions and Ap
Page 77 and 78: Lesson 2b - Functions and Function
Page 85 and 86:
Lesson 2b - Functions and Function
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:
Page 173 and 174:
Page 175 and 176:
Page 177 and 178:
Name: _____________________ Date: _
Page 179 and 180:
Lesson 4b - More on Logarithms Prac
Page 181 and 182:
Page 183 and 184:
Page 185 and 186:
Name: _____________________ Date: _
Page 187 and 188:
Lesson 5a - Introduction to Quadrat
Page 189 and 190:
Name: _____________________ Date: _
Page 191 and 192:
Page 193 and 194:
Page 195 and 196:
Page 197 and 198:
Page 199 and 200:
Page 201 and 202:
Name: _____________________ Date: _
Page 203 and 204:
Page 205 and 206:
Page 207 and 208:
Page 209 and 210:
Name: _____________________ Date: _
Page 211 and 212:
Lesson 5b - Solving Quadratic Equat
Page 213 and 214:
Name: _____________________ Date: _
Page 215 and 216:
Page 217 and 218:
Page 219 and 220:
Page 221 and 222:
Page 223 and 224:
Page 225 and 226:
Page 227 and 228:
Page 229 and 230:
Page 231 and 232:
Name: _____________________ Date: _
Page 233 and 234:
Page 235 and 236:
Page 237 and 238:
Page 239 and 240:
Page 241 and 242:
Name: _____________________ Date: _
Page 243 and 244:
Lesson 6a - Exponents and Rational
Page 245 and 246:
Name: _____________________ Date: _
Page 247 and 248:
Page 249 and 250:
Page 251 and 252:
Page 253 and 254:
Page 255 and 256:
Page 257 and 258:
Name: _____________________ Date: _
Page 259 and 260:
Page 261 and 262:
Page 263 and 264:
Page 265 and 266:
Name: _____________________ Date: _
Page 267 and 268:
Lesson 6b - Rational Exponents & Ra
Page 269 and 270:
Name: _____________________ Date: _
Page 271 and 272:
Lesson 6b - Rational Exponents and
Page 273 and 274:
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?