Solving Linear Equations
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Objective
I can solve linear equations with one variable that have one solution, no solution and 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
If solving an equation leads to a statement like x = a (where a is a number), the equation has one solution.
- 2
If simplifying an equation results in a false statement like 3 = 5, the equation has no solutions, meaning there is no value of x that can make the equation true.
- 3
If simplifying an equation results in a true statement like 5 = 5 or x = x, the equation has infinite solutions, meaning any value of x will satisfy the equation.
Part 3 of 4
Practice
10 questions
What condition must be met for a linear equation to have infinitely many solutions?
Explain in your own words why an equation that simplifies to 3 = 5 has no solution.
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve the following equation and state whether it has one solution, no solution, or infinite solutions: 2x + 5 = 2x + 7”
Sample answer included in the free materials
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