Solving Linear Equations

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Objective

I can solve linear equations with one variable that have one, none, or infinite solutions.

Part 1 of 4

Warm-up video

Khan Academy · 5:27Vetted channel

We don't generate video — this one is by Khan Academy 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 4

Key concepts

3 concepts

  1. 1

    If solving a linear equation results in a statement like x = a, where a is a number, then the equation has one solution.

  2. 2

    If solving a linear equation results in a false statement like 3 = 5, then the equation has no solutions.

  3. 3

    If solving a linear equation results in a true statement like 5 = 5, then the equation has infinite solutions.

Part 3 of 4

Practice

10 questions

1

Which of the following conditions results in a linear equation having infinitely many solutions?

2

Explain in your own words why an equation like 3 = 5 has no solution.

Part 4 of 4

Exit ticket

Quick comprehension check

Solve the following equation and state whether it has one, zero, or infinite solutions: 4x + 8 = 4x + 12

Sample answer included in the free materials

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