Equations with One, No, or Infinite Solutions
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Objective
I can determine if an equation has one solution, no solution, or infinite solutions.
Part 1 of 3
Key concepts
3 concepts
- 1
Solving an equation means finding the value or values for the variable that make the equation a true statement.
- 2
If the variables in an equation cancel out and you are left with a false statement, the equation has no solution.
- 3
When simplifying an equation, if the variables cancel out and you are left with a true statement, the equation has infinite solutions.
Part 2 of 3
Practice
3 questions
Solve the equation 5x - 8 = 12 and state how many solutions it has.
Determine if the equation 4x + 7 = 4x - 1 has one solution, no solution, or infinite solutions. Explain your reasoning.
Part 3 of 3
Exit ticket
Quick comprehension check
“Determine whether the equation 4(x + 1) - x = 3x + 4 has one solution, no solution, or infinite solutions. Show your work and explain your reasoning based on the final simplified statement.”
Sample answer included in the free materials
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Teacher Guide
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Student Handout
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