Solving Equations by Graphing Each Side: 1. Select the CONTROLS tab and a(x+b) = cx +...
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Solving Equations by Graphing Each Side: 1. Select the CONTROLS tab and a(x+b) = cx + d. Turn off Show solution on a number line. Consider the equation 4(x + 2) = 3x + 4. A. What two equations can you graph to solve this equation? B. Graph your equations in the Gizmo. What is the solution to 4(x+2) = 3x +4? C. Select the TABLE tab. Can you use the table to check your answer? If so, explain how you found the answer using the table. How do you know? Turn on Show solution on the number line to check your answer in the Gizmo. D. Solve the equation 4(x+2) = 3x+4 algebraically. Show your work. In the Gizmo, select the SOLUTION tab to check your answer. 2. You've used both graphs and algebra to solve equations of the form ax + b = cx+d and a(x- b) = cx + d. Which method do you find easier? Explain. 3. Use algebra to solve each equation. Then graph the equation in the Gizmo to check your solution. (If necessary, you can use the controls to the right of the graph to zoom in and out. You can also click on the graph and drag it to pan it.) Paste pictures of your Gizmo graphs below. A. 5x-2-3x + 22 B. 3(x - 12) = -x + 4. Solving Equations by Graphing Each Side: 1. Select the CONTROLS tab and a(x+b) = cx + d. Turn off Show solution on a number line. Consider the equation 4(x + 2) = 3x + 4. A. What two equations can you graph to solve this equation? B. Graph your equations in the Gizmo. What is the solution to 4(x+2) = 3x +4? C. Select the TABLE tab. Can you use the table to check your answer? If so, explain how you found the answer using the table. How do you know? Turn on Show solution on the number line to check your answer in the Gizmo. D. Solve the equation 4(x+2) = 3x+4 algebraically. Show your work. In the Gizmo, select the SOLUTION tab to check your answer. 2. You've used both graphs and algebra to solve equations of the form ax + b = cx+d and a(x- b) = cx + d. Which method do you find easier? Explain. 3. Use algebra to solve each equation. Then graph the equation in the Gizmo to check your solution. (If necessary, you can use the controls to the right of the graph to zoom in and out. You can also click on the graph and drag it to pan it.) Paste pictures of your Gizmo graphs below. A. 5x-2-3x + 22 B. 3(x - 12) = -x + 4.
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