Sure! Here's a sample dialogue that connects the given replies 1-8 with the responses a-h:
Student: 1. Can you help me with my math homework?
Teacher: a. Of course! I'd be happy to help. What concept are you struggling with?
Student: 2. I don't understand how to solve equations with variables on both sides.
Teacher: b. No problem. Let's start by isolating the variable on one side of the equals sign. Can you show me the equation?
Student: 3. Sure, here it is: 3x + 7 = 2x - 5.
Teacher: c. Okay. The first step is to get rid of the 2x on the right side. You can cancel it out by subtracting 2x from both sides. What would you get then?
Student: 4. So, 3x + 7 - 2x = -5?
Teacher: d. Almost there! But you need to subtract 2x from the left side as well. What would the equation be after that?
Student: 5. So, 3x - 2x + 7 = -5?
Teacher: e. Great job! Now, simplify further by combining like terms on the left side. What do you get?
Student: 6. 1x + 7 = -5?
Teacher: f. Close! We usually don't write the coefficient of 1, so it becomes just x. And how can you solve for x now?
Student: 7. Can I subtract 7 from both sides?
Teacher: g. Absolutely! Subtracting 7 from both sides will give you the final equation. What will be the value of x then?
Student: 8. So, x = -12?
Teacher: h. Excellent! You got it right. The solution is indeed x = -12. Is there anything else you need help with?
This dialogue guides the student step by step through solving an equation with variables on both sides, ensuring that the explanations are clear and easy to understand.
1.E 2.A 3.G 4.B 5.F 6.C 7.H 8.D
Объяснение: