Equations with No Solutions Worksheet
Explore linear equations that result in no solution, understanding the algebraic properties that lead to such outcomes.
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Equations with No Solutions
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Carefully solve each equation. If an equation has no solution, write 'No Solution' and explain why.
1. Solve for x: 3x + 5 = 3x - 2
2. Which of the following equations has no solution?
2x + 1 = x + 1
4x - 7 = 4x + 3
5x - 10 = 5(x - 2)
6 + 2x = 2x + 6
3. An equation has no solution when simplifying both sides results in a statement.
4. If you have an equation like 2x + 7 = 2x + k, for there to be no solution, k must be to 7.
5. The equation 5x - 8 = 5(x - 2) has no solution.
True
False
6. Explain, in your own words, what it means for an equation to have 'no solution'. Provide an example.
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