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Algebra 1 2-4 Guided Practice: Solving Equations with Variables on Both Sides

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Last updated almost 3 years ago
23 questions
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Question 1
1.

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Question 2
2.

Solve It! The diagram gives information about the populations of two towns. After how many years will the populations be equal?
Enter only a number.

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Question 3
3.

Solve It! Explain how you found your response to the previous item.

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Question 4
4.

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Question 5
5.

Take Note: Correctly order the steps below to describe the process (so far) for solving an equation with variables on both sides of the equation.

  1. Work to get the variables together on the same side of the equation and the constants on the other.
  2. Combine like terms and use inverse operations to isolate the variable.
  3. Check your solution by substituting it into the original equation.
Question 6
6.

Problem 1 Got It? What is the solution of the equation?
Show your work on the canvas.
You may also complete your work on paper or on a whiteboard and upload or paste a clear picture of it to the canvas.

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Question 7
7.

Problem 1 Got It? Solve the equation from problem 1 by first subtracting 5x from each side instead of 2x. Show your work on the canvas. Do you get the same solution?

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Question 8
8.

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Question 9
9.

Problem 2 Got It? An office manager spent $650 on a new energy-saving copier that will reduce the monthly electric bill for the office from $112 to $88. In how many months will the copier pay for itself?

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Question 10
10.

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Question 11
11.

Problem 3 Got It?

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Question 12
12.

Problem 3 Got It?

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Question 13
13.

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Question 14
14.

Take Note: Describe what makes an equation an identity.

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Question 15
15.

Take Note: Provide an example of an equation that has only one solution.

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Question 19
19.

Problem 4 Got It?

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Question 20
20.

Problem 4 Got It?

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Question 21
21.

Question 22
22.

Take Note: Place the five steps for solving equations in chronological order.

  1. Use the properties of equality to get the variable terms on one side of the equation and the constants on the other.
  2. Check your solution in the original equation.
  3. Use the properties of equality to solve for the variable.
  4. Combine like terms on each side of the equation.
  5. Use the Distributive Property to remove any grouping symbols. Use properties of equality to clear decimals and fractions.
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Question 23
23.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
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3
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
A
B
C
D
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
B
C
D
B
C
D
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 16
16.

Take Note: Provide an example of an equation that has no solution.

Question 17
17.

Take Note: Provide an example of an equation that is an identity.

Question 18
18.

Take Note: How many solutions do identities have?

B
C
D
B
C
D
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
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