Easy Algebra Step-by-Step

212 Easy Algebra Step-by-Step Exercise 20 For 1–3, solve by the substitution method. xy xy 24 yy=− 27 xy+=y 43 313 xy xy 33 ...

213 Answer Key Chapter 1 Numbers of Algebra Exercise 1 10 is a natural number, a whole number, an integer, a rational number, a ...

214 Answer Key Closure property of addition Associative property of addition Distributive property Additive inverse property Ze ...

Answer Key 215 15.^08 001 80 − =− − 458 + 0 = − 458 4 1 2 3 3 5 5 17 ⎛ 0 ⎝⎜ ⎛⎛ ⎝⎝ ⎞ ⎠⎟ ⎞⎞ ⎠⎠ ⎛− ⎝⎜ ⎛⎛ ⎝⎝ ⎞ ⎠⎟ ⎞⎞ ⎠⎠() (^0) () ...

216 Answer Key (–2)^0 = 1 3 1 3 1 81 4 4 − == () () )−^2 =^12 =^1 16 (.) (.) . 3 1 . 3 1 00. 9 2 2 − == 12.^3 4 1 1 34 4 3 ...

Answer Key 217 −− − ()⋅− 10 8 −( + 2 =− − − () 10 8 −( 2 =− − − 10 14 2 =− 10 −− 7 = − 10 + 7 =− 3 9.^7853 3236 12 (^2488) ⋅ 5 ...

218 Answer Key of a circle and can be any real nonzero number, so r is a variable. The numbers 2 and π have fi xed, defi nite va ...

Answer Key 219 xy ()xy+ = ()() () 2 (^22) y 2 2 2 +(− 92 −(− = () 9 −()(− 2 2 2 − 49 81 4 =^49 77 7 11 (y + z)−3 = ((−2)+(−3) ...

220 Answer Key Chapter 7 Rules for Exponents Exercise 7 x^4 x^9 = x^13 x^3 x^4 y^6 y^5 = x^7 y^11 x x x 6 3 =^3 xy x ...

Answer Key 221 Chapter 9 Multiplying Polynomials Exercise 9 (4x^5 y^3 )(−3x^2 y^3 ) = −12x^7 y^6 (−8a^4 b^3 )(5ab^2 ) = −40a^5 ...

222 Answer Key Chapter 10 Simplifying Polynomial Expressions Exercise 10 8 + 2(x − 5) = 8 + 2 x − 10 = 2 x − 2 −7(y − 4) + 9 y ...

Answer Key 223 −^10 10 444220 52 23 xy^4 zx^4 − 2020 yz^5 xy^2 z = − + 10 − 10 20 10 444 23 252 23 xy^4 z xy^2 z xy^2 z xy^2 z ...

224 Answer Key False False False False False − a − b = −1a − 1b = −1(a + b) = −(a + b) −3x^2 + 6 x − 9 = −3 ⋅ x^2 − 3 ⋅ −2x − 3 ...

Answer Key 225 18 54 342 32 xy^3 z xz^3 = ⋅ ⋅ 18 18 3 32 4 32 xz^3 y xz^3 = ⋅ ⋅ 1818 1818 3 3232 4 3232 xzx^3 y xzx^3 =y 4 3 ...

226 Answer Key 4424 218 2 2 xy xy y x 4 xy− = 4 2 y()x^2 x 6 ()x^29 = 22 2 ⋅ (^2) ()+ (^2) () 3 ()^3 ()−^3 y( (^3) )( 2 2 2 ...

Answer Key 227 14.^2 14 49 1 (^27) x x −+ 14 x − x − ()() − ()− 2 )( − x 1 − ))(( ()() − () ()() 2 )( − 1 ( − )( − x − ))(( − )) ...

228 Answer Key 3x + 2 = 6 x − 4 3 x + 2 − 6x= 6 x − 4 − 6x −3x + 2 = −4 −3x + 2 − 2 = − 4 − 2 −3x = −6 x= 2 Solve for y: −12x+ ...

Answer Key 229 x^2 − x − 6 = 0 (x − 3) (x + 2) = 0 x − 3 = 0 or x + 2 = 0 x = 3 or x = −2 x^2 + 6x + 9 = −5 + 9 (x + 3)^2 = 4 x ...

230 Answer Key x^2 − 10x = −25 x^2 − 10x + 25 = −25 + 25 (x − 5)^2 = 0 x = 5 −x^2 = −9 x^2 = 9 x = ±3 10. 6x^2 = x + 2 6 x^2 − ...

Answer Key 231 10 y K 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 (0, 0) –1^910 –2 –3 –4 –5 –6 –7 –8 –9 –10 0 ...