Solving Equations with Balance Scales

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Objective

I can solve one-variable linear equations by manipulating a balance scale to maintain equality.

Part 1 of 3

Warm-up video

mathantics · 11:08Vetted channel

We don't generate video — this one is by mathantics on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

Explain in your own words why it is essential to perform the same operation on both sides of an equation to maintain equality. Use the balance scale analogy to support your explanation.

2

Solve for x: 3x - 7 = 2x + 5. Show each step you take to isolate x and explain the reasoning behind each operation.

Part 3 of 3

Exit ticket

Quick comprehension check

Solve for x: x + 12 = 25. Show the operation you perform on both sides. Solve for y: 33 = y - 9. Show the operation you perform on both sides.

Sample answer included in the free materials

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