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Unit 4. Day 8.
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Today’s Lesson 1) Three important questions 2) Division review
3) Solving Equations
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A math “sentence” with an equal sign
Q: What is an equation? A: A math “sentence” with an equal sign 3𝑥 + 4 = 78 3 5−𝑦 =6−3𝑦 6 𝑎+5 =7−9𝑎 Q: What does it mean to solve an equation? A: To find the value of the variable Q: How do we solve an equation? A: Isolate the variable
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Today’s Lesson 1) Three important questions 2) Division review
3) Solving Equations
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11 𝑦 8 2 8÷2 11÷𝑦 3 7 𝑎+𝑏 2 3÷7 𝑎+𝑏 ÷2 6𝑥 6 𝑥 6 6𝑥÷6 𝑥÷6 10𝑚 10 10𝑚÷10
𝐻𝑜𝑤 𝑡𝑜 𝑏𝑒 𝑐𝑜𝑜𝑙 𝑖𝑛 𝐴𝑙𝑔𝑒𝑏𝑟𝑎 𝑤𝑖𝑡ℎ 𝐷𝑖𝑣𝑖𝑠𝑖𝑜𝑛 11 𝑦 8 2 8÷2 11÷𝑦 3 7 𝑎+𝑏 2 3÷7 𝑎+𝑏 ÷2 6𝑥 6 𝑥 6 6𝑥÷6 𝑥÷6 10𝑚 10 10𝑚÷10
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𝐷𝑜 𝑛 ′ 𝑡 𝑓𝑜𝑟𝑔𝑒𝑡 𝑟𝑒𝑑𝑢𝑐𝑖𝑛𝑔‼‼‼
8 2 3 3 8÷2 → =4 3÷3 → =1 9 4 = 9 4 9÷4 → 11 11 11÷11 → =1 12 8 → = 3 2 12÷8 100÷100 → =1
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Today’s Lesson 1) Three important questions 2) Division review
3) Solving Equations
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Example A: 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 x. 1 3𝑥=15 𝑥 = 5 ∙ 3 3 Check: =15 5 15=15
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Example A: 𝑥+3 =15 𝑥 + = 12 1 3𝑥=15 𝑥 = 5 ∙ −3 −3 3 3
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𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑡ℎ𝑒 𝑣𝑎𝑟𝑖𝑎𝑏𝑙𝑒 Example B*: 4𝑤=24 Example C*: 5𝑒=30
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Example B*: 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 w. 1 4𝑤=24 𝑤 = 6 ∙ 4 4 Check =24 6 24=24
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Example C*: 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑒 . 5𝑒=30 𝑒 = 6 ∙ 5 5 Check =30 6 30=30
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Example D: 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑝. −3𝑝=18 𝑝 = −6 −3 −3 Check − =18 −6 18=18
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𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑡ℎ𝑒 𝑣𝑎𝑟𝑖𝑎𝑏𝑙𝑒 Example E*: −2𝑚=−16 Example F*: 36=−6𝑛
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Example E*: 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑝. −2𝑚=−16 𝑚 = 8 −2 −2 Check − =−16 8 −16=−16
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Example F*: 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑝. −6 36=−6𝑛 = 𝑛 −6 −6 Check 36=−6 −6 36=36
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30 8 8𝑛=30 𝑛 = Example G: 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑛 . ∙ 8 8 𝑛= 15 4 Check 8 =30
=30 120 4 =30 30=30
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−6ℎ = 20 ℎ = Example H*: 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 ℎ . −6 −6 ∙ − 20 6 ℎ=− 10 3 −3 1 3
Check − 10 3 − =20 60 3 =20 20=20
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Example I: 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 x. 3 1 𝑥 3 𝑥 3 = 9 27 𝑥÷3=9 = Check 3 =9 27 9=9
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𝑦 −44 = 4 4 𝑦 4 =−11 𝑦÷4=−11 Example J*: 𝑆𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 y. Check 4 =−11 −44
𝑦 4 =−11 −44 𝑦÷4=−11 = Check 4 =−11 −44 −11=−11
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Example K: Write an equation. Then solve the equation.
Mr. Jordan wants to take his wife on a fancy date to see a Cirque Du Soleil show. The fancy date will cost €480. If he saves €36 each month, in how many months will he have enough for the date? 36 𝑚 = ∙ 480 36𝑚 = 480 36 36 𝑚= 40 3 480 36 𝑚 = 𝑚=13 1 3 2∙2∙2∙2∙2∙3∙5 2∙2∙3∙3 𝑚 =
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