S1A6 Transposing Formulae PDF

S1A6 Transposing Formulae (In-Class Activity) Option 1: questions 1-12, Option 2: questions 10-15 1 Solve for the variable shown in ; red. State the restrictions, if any. (Ex: 𝑥 = ; 𝑚 ≠ 0)...

S1A6 Transposing Formulae (In-Class Activity) Option 1: questions 1-12, Option 2: questions 10-15 1 Solve for the variable shown in ; red. State the restrictions, if any. (Ex: 𝑥 = ; 𝑚 ≠ 0) 𝑚 𝑣 1) 𝐶 = 2π𝑟;𝑟 2) 𝑠 = 𝑟 ;𝑟 3) 𝑙 = 𝑃𝑟𝑡;𝑃 2 1 4) 𝐴 = 2𝑎 + 4𝑎ℎ;ℎ 5) 𝐴 = 2 ℎ(𝑎 + 𝑏);ℎ 6) 𝑝 = 2(𝑙 + 𝑤);𝑤 𝑥+𝑦 𝑛 𝑣−𝑢 7) 𝑚 = 2 ;𝑦 8) 𝑆 = 2 (𝑎 + 𝑙);𝑎 9) 𝑎 = 𝑡 ;𝑡 2 2 𝑎 𝑓𝑔 10) 𝑣 =𝑢 + 2𝑎𝑠;𝑠 11) 𝑆 = 𝑎−𝑟 ;𝑟 12) 𝐹 = 𝑓+𝑔−𝑑 ;𝑑 Challenge: (these may require factoring) 13) 𝑎 = 180(𝑛−2) 𝑛 ;𝑛 14) 𝑟 = 𝑎𝑏 𝑎+𝑏 ;𝑎 15) 𝐶 = 𝐾 ( );𝑅 𝑅𝑟 𝑅−𝑟 ________________________________________________________ Additional Practice: (optional) 𝑚 1) 𝐹 = 𝑚𝑎;𝑎 2) 𝑑 = 𝑣 ;𝑣 3) 𝐴 = 𝑃 + 𝑃𝑟𝑡;𝑡 2 𝑛 4) 𝑠 = 𝑣𝑡 + 16𝑡 ;𝑣 5) 𝑆 = 2 (𝑎 + 𝑙);𝑛 6) 𝐴 = 𝑃(𝑙 + 𝑟𝑡);𝑟 𝑣−𝑢 5 𝑥+𝑦+𝑧 7) 𝑎 = 𝑡 ;𝑣 8) 𝐶 = 9 (𝐹 − 32);𝐹 9) 𝑚 = 3 ;𝑦 𝑛 𝑎−𝑟𝑙 10) 𝑠 = 2 (𝑎 + 𝑙);𝑙 11) 𝑙 = 𝑎 + (𝑛 − 1)𝑑;𝑛 12) 𝑆 = 1−𝑟 ;𝑙 Challenge: (these may require factoring) 𝑟 𝑓𝑔 3𝑛+2 13) 𝑆 = 1−𝑟 ;𝑟 14) 𝐹 = 𝑓+𝑔−𝑑 ;𝑓 15) 𝐾 = 𝑛+1 ;𝑛 Answers: Additional practice: 𝐹 1) 𝑟 = 𝐶 1) 𝑎 = 𝑚 ;𝑚 ≠ 0 2π 𝑚 2) 𝑟 = 𝑣 ;𝑠 ≠ 0 2) 𝑣 = 𝑑 ;𝑑 ≠ 0 𝑠 𝐴−𝑃 3) 𝑃 = 𝑙 ; 𝑟 ≠ 0, 𝑡≠0 3) 𝑃 = 𝑃𝑟 ; 𝑟 ≠ 0, 𝑃≠0 𝑟𝑡 2 2 𝑠−16𝑡 4) ℎ = 𝐴−2𝑎 ;𝑎 ≠0 4) 𝑣= 𝑡 ;𝑡 ≠ 0 4𝑎 2𝑠 2𝑎 5) ℎ = 2𝐴 ;𝑎 + 𝑏≠0 5) 𝑛 = 𝑎+𝑙 ; 𝑎+𝑏 ; 𝑎 + 𝑙≠0 𝑎+𝑏 𝐴−𝑙𝑃 6) 𝑤 = 𝑝−2𝑙 6) 𝑟 = 𝑃𝑡 ; 𝑃 ≠ 0, 𝑡≠0 2 7) 𝑦 = 2𝑚 − 𝑥 7) 𝑣 = 𝑎𝑡 + 𝑢 9 8) 𝑎 = 2𝑆−𝑛𝑙 ;𝑛 ≠ 0 8) 𝐹 = 5 𝐶 + 32 𝑛 𝑣−𝑢 9) 𝑦 = 3𝑚 − 𝑥 − 𝑧 9) 𝑡 = 𝑎 ;𝑎 ≠ 0 2𝑠 2 2 10) 𝑙 = 𝑛 − 𝑎; 𝑛 ≠ 0 𝑣 −𝑢 10) 𝑠 = 2𝑎 ;𝑎 ≠ 0 𝑙−𝑎+𝑑 11) 𝑛 = 𝑑 ; 𝑑 ≠ 0 𝑆𝑎−𝑎 11) 𝑟 = 𝑆 ;𝑆 ≠ 0 𝑆−𝑆𝑟−𝑎 12) 𝑙 = −𝑟 ; 𝑟 ≠ 0 𝐹𝑓+𝐹𝑔−𝑓𝑔 12) 𝑑 = 𝐹 ;𝐹 ≠ 0 𝑆 13) 𝑟 = 𝑆+1 ; 𝑆 ≠− 1 360 13) 𝑛 = − 𝑎−180 ; 𝑎 ≠ 180 𝐹𝑑−𝐹𝑔 14) 𝑓 = 𝐹−𝑔 ; 𝐹 ≠ 𝑔 or −𝑟𝑏 14) 𝑎 = 𝑟−𝑏 ;𝑏 ≠ 𝑟 𝐹𝑔−𝐹𝑑 𝑓 = 𝑔−𝐹 ;𝐹 ≠ 𝑔 𝐶𝑟 −𝐶𝑟 15) 𝑅 = 𝐶−𝐾𝑟 𝑜𝑟 𝐾𝑟−𝐶 ;𝐶 ≠ 𝐾𝑟 2−𝐾 15) 𝑛 = 𝐾−3 ; 𝐾 ≠ 3