Easy Algebra Step-by-Step

232 Answer Key 10 y x 9 8 7 6 5 4 3 2 1 –10–9–8–7–6–5–4–3–2–1 1 2 3 4 5 6 7 8 9 10 (2, 4) (5, –8) –1 –2 –3 –4 –5 –6 –7 –8 –9 ...

Answer Key 233 3y = 5 x − 9 4 2 –2 –3 –4 5 (3, 2) y =^5 3 y x x – 3 y = x 4 2 0 –2 5 (2, 2) y x y = x ...

234 Answer Key 4y − 5 x = 8 6 4 2 –2 5 (4, 7) y =^5 4 x+ 2 y x yxx− 1 3 2 3 4 2 –2 5 6, 4 ( 3 ( y = 1 3 x – 2 3 2 – 3 x y Ch ...

Answer Key 235 −= − − 1 3 2 y x −1(x − 2) = y − 3 −x + 2 = y − 3 y = −x + 5 6.^1 5 =y−^1 x x = 5y − 5 5 y=x+ 5 yx=+x 1 5 1 y ...

236 Answer Key c. y x x = − 91 x+ 5 The domain is the set of all real numbers except 5. d. y x x = − 25 x + 4 2 2 Set x^2 − 4 = ...

Answer Key 237 428 23 8 xy xy 3 22 y= 3 y=− 2 y = −4x + 8 y= −2x+ 4 2 x − 3(−2x + 4) = −8 2 x+ 6 x − 12 = −8 8 x = 4 x=^1 2 4 ...

238 Answer Key 7142 14 711 xy 1 xy 7 1144 y 7 2 –2 x≈ –0.57 y≈ 0.43 y x y = 2x+^117 y = –1 2 x +^1 7 ...

239 Absolute value of c o ord i nates, 171–173 defi nition of, 15 of negative numbers, 15–17, 15f on number line, 15, 15f in ord ...

240 Index Algebraic expressions (cont.) as GCF, 121–126 parentheses in, 67–72 terms in. See Ter m s Algebraic fractions adding, ...

Index 241 Dependent variable, 197 Difference of two cubes, 102, 134, 136 Difference of two squares, 102, 134–135 Distance betwee ...

242 Index Fractions (cont.) algebraic. See Algebraic fractions categorization of, 4–5, 7 complex, 151–152 cube of, 47–48 cube ro ...

Index 243 Monomials addition of, 88–89 defi nition of, 84 division of polynomials by, 110–113 GCF, 121–126, 139–143 identifying, ...

244 Index Numbers complex, 163, 167 integers, 3–5, 3f, 6f irrational, 5–6, 6f natural. See Natural numbers opposite. See Opposit ...

Index 245 diagram of, 172f distance between two, 176–177 equa l, 173 –174 a line through two parallel line to, 181 perpendicular ...

246 Index Reciprocals in dividing of algebraic fractions, 145–146 of exponential expression, 50–51 multiplication by, 11 perpend ...

Index 247 Ter m s defi nition of, 83 dividing out, 142 vs. factors, 119 identifying, 83–86 like, 87, 88–90 middle, 99–101, 127–1 ...