Systems with No Solution or Infinitely Many
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Systems with No Solution or Infinitely Many
Systems with no solution or infinitely many worksheet for Grade 8: nine pairs of linear equations, such as y = 2x + 3 and y = 2x − 1. Compare slopes and intercepts and circle one, none, or infinitely many. With an answer key.
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- Pages
- 1
- Last updated
- Time
- About 15 minutes
- Answer key
- Included
- Printing
- Black and white
- Related curriculum
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Solve two linear equations together by graphing, by substitution or by elimination, check a solution in both equations, and tell when a system has one solution, none or infinitely many.
Reviewed by Mr. Robert Harrison, Teacher. How we check worksheets
How to use this sheet
- Have the child choose the method first: substitution if a variable is already alone, elimination if a variable will cancel.
- Solve for one variable, then put it back to find the other. Two numbers make the answer.
- Check the pair in both equations, not only the one used last.
Common mistakes
- Stopping after finding x. A solution is a pair, x and y.
- In elimination, multiplying only one side of an equation, or only some terms.
- Reading the intersection point from a graph without checking its scale.
