IM 8.4.5 Lesson: Solving Any Linear Equation

Solve each equation mentally.
[size=100][math]5-x=8[/math][/size]
[size=100][math]-1=x-2[/math][/size]
[size=100][math]-3x=9[/math][/size]
[size=100][math]-10=-5x[/math][/size]
Below are 4 cards, each with an equation.
[size=100][list=1][*]With your partner, select a card and choose who will take the first turn.[/*][*]During your turn, decide what the next move to solve the equation should be, explain your choice to your partner, and then write it down once you both agree. Switch roles for the next move. This continues until the equation is solved.[/*][*]Choose a second equation to solve in the same way, trading the card back and forth after each move.[/*][/list][br]For the last two equations, choose one and solve it. Show your work below. Then, trade with your partner you finish to check one another's work. [/size]
Tyler says he invented a number puzzle. He asks Clare to pick a number, and then asks her to do the following:
[list][*]Triple the number[/*][*]Subtract 7[/*][*]Double the result[/*][*]Subtract 22[/*][*]Divide by 6[/*][/list][size=150][size=100]Clare says she now has a -3. Tyler says her original number must have been a 3. How did Tyler know that?[/size][/size]
Explain or show your reasoning.

IM 8.4.5 Practice: Solving Any Linear Equation

Solve each of these equations. Explain or show your reasoning.
[size=100][math]2(x+5)=3x+1[/math][/size]
[size=100][math]3y-4=6-2y[/math][/size]
[size=100][math]3(n+2)=9(6-n)[/math][/size]
Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can’t find it.
[size=100][math]\begin{align} 12(5+2y)&=4y-(5-9y)\\ 72+24y&=4y-5-9y\\ 72+24y&=\text-5y-5\\ 24y&=\text-5y-77\\ 29y&=\text-77\\ y&=\frac {\text{-}77}{29}\ \end{align}[/math][br][br]Where is Clare’s mistake?[/size]
[size=100]What is the solution to the equation?[/size]
Solve each equation, and check your solution.
[size=100][math]\frac{1}{9}(2m-16)=\frac{1}{3}(2m+4)[/math][/size]
[math]-4(r+2)=4(2-2r)[/math]
[math]12(5+2y)=4y-(6-9y)[/math]
Here is the graph of a linear equation.
[img]data:image/png;base64,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[/img][br][br][size=150]Select [b]all [/b]true statements about the line and its equation.[/size]
[size=150][size=100]A participant in a 21-mile walkathon walks at a steady rate of 3 miles per hour. He thinks, “The relationship between the number of miles left to walk and the number of hours I already walked can be represented by a line with slope[math]-3[/math]. ” [/size][size=100]Do you agree with his claim? Explain your reasoning.[/size][/size]

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