Algebra Demystified 2nd Ed

186 algebra De mystif ieD PRACTICE Compute the following. 1.^4362 62 2 2 ()− () + 2.^8325566 (^22) −− () () 5^2 − [2(3) + 1] ...

Chapter 7 linear equaTionS 187 by 5, so to move 5 across the equal sign, we need to “unmultiply” the 5. That is, divide both sid ...

188 algebra De mystif ieD Solve the equation. −=x 2 − − = − x −−xx 1 2 1 Remember that canbewrittenas; 1 thatis, is itsownrecipr ...

Chapter 7 linear equaTionS 189 −=− − − =− − = 226 2 2 26 2 13 x x x 3.^3 4 24 4 3 3 4 4 3 24 32 x x x = ⋅=⋅ = − = − − =− =− ...

190 algebra De mystif ieD EXAMPLES Solve the equation. 2(x − 3) + 7 = 5 x − 8 2375 8 2675 81 21581 2 ()  ()  () xx xx xx x −+=− ...

Chapter 7 linear equaTionS 191 PRACTICE Solve the equation. 2x + 16 = 10 2.^3 2 x  –  15 =  6(8 − 2x) + 25 = 5(2 − 3x) −4(8 − ...

192 algebra De mystif ieD algebra DeMYSTiFieD / gibilisco / 000-0 / Chapter 4 68 225523 48 12 25 10 15 73 12 10 15 ()−+=−() − ...

Chapter 7 linear equaTionS 193 6.^1 2 683242 1 343684 6284 ()xx()()x xxx xx −+ += − −+ += − += − − 666 22 4 44 62 6 2 2 2 3 xx x ...

194 algebra De mystif ieD −−−− +=−+ −++−=− + −+=− 43 2658 12 8658 11 25 ()xx()x xx x xx++ ++ −+= −− −= − − = − =− 8 55 628 22 ...

Chapter 7 linear equaTionS 195 4520 55 425 4 4 25 4 25 4 x x x x +=− −− =− =− =− Solve the equation. 3 2 1 6 2 9 1 3 xx−+= We be ...

196 algebra De mystif ieD still struggling a common mistake is to fail to distribute the lCD. another is to multiply only one si ...

Chapter 7 linear equaTionS 197 On each side, three quantities are being multiplied together. On the left, the quantities are 6,^ ...

198 algebra De mystif ieD ✔SOLUTION 1.^1 2 3 3 5 xx+= − 1 The LCD is 10. 101 2 3103 5 1 10 1 2 10310 xx x  +    =−    ...

Chapter 7 linear equaTionS 199 51 ()^24 xx−= 31 ()+^2 The LCD is 15. 151 5 24151 3 2 151 5  ()xx− ()    =+      ...

200 algebra De mystif ieD 5.^34 xx−+=− 31 1 54 x 203 The LCD is 60. 603 4 1 3 1604 5 3 20 603 4 60 xx x x  −+    =−   ...

Chapter 7 linear equaTionS 201 Solve the equation by first clearing the decimal. x – 0.11 = 0.2x + 0.09 We begin by multiplying ...

202 algebra De mystif ieD ✔SOLUTIONS 0.3(x − 2) + 0.1 = 0.4 Multiply both sides by 10^1 = 10 1003 2011004 1003 210014 [.().] ( ...

Chapter 7 linear equaTionS 203 0.015x − 0.01 = 0.025x + 0.2 Multiply both sides by 10^3 = 1000. 1000 0 015 001 1000 0 025 02 1 ...

204 algebra De mystif ieD 0.01(2x + 3) − 0.003 = 0.11x Multiply both sides by 10^3 = 1000. 10000012 30003 1000011 10000012 [.( ...

Chapter 7 linear equaTionS 205 The steps for solving for r in I = Prt are identical: IPrt IPtr I Pt r = = = () All of the formul ...