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Topic 9

Systems of Equations

Free 8th Grade Math PDF Worksheets

Topic overview

A system of equations describes two conditions that must hold at the same time. A shared solution can be found by graphing, substitution or elimination; some systems have no solution or infinitely many solutions.

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  1. 9.10 visits
    Checking Solutions of Systems
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    Level 1: Simple systems0Level 2: Negatives and coefficients0Level 3: Choosing the solution0
  2. 9.20 visits
    Solving Systems by Graphing
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    Level 1: Lines crossing in the first quadrant0Level 2: All four quadrants and special cases0Level 3: Write the equations, then solve0
  3. 9.30 visits
    Solving Systems by Substitution
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    Level 1: One variable already isolated0Level 2: Negatives and coefficients0Level 3: Isolate first; special cases0
  4. 9.40 visits
    Solving Systems by Elimination
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    Level 1: Add or subtract directly0Level 2: Multiply one equation0Level 3: Multiply both; special cases0
  5. 9.50 visits
    Word Problems: Systems of Equations
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    Level 1: Sums, differences and simple totals0Level 2: Costs, coins and comparing plans0Level 3: Speed, mixtures, ages and digits0