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Subject Area - CC.2:
Mathematics
  • Standard Area - CC.2.2: Algebraic Concepts
  • Grade Level - CC.2.2.8: GRADE 8
Standard - CC.2.2.8.B.3

Analyze and solve linear equations and pairs of simultaneous linear equations.

Eligible Content:
10 Total
Alternate Eligible Content:
3 Total
Assessments
Materials & Resources
  • Assessment Anchor - M08.B-E.3 Analyze and solve linear equations and pairs of simultaneous linear equations.
    • Anchor Descriptor - M08.B-E.3.1 Write, solve, graph, and interpret linear equations in one or two variables, using various methods.
      • Eligible Content - M08.B-E.3.1.1 Write and identify linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
        Options
        • Alternate Eligible Content - M08.B-E.3.1.1a Select an algebraic equation using addition or subtraction to solve a 2-step real-world problem with one variable.
          Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
          Essentialized Example
      • Eligible Content - M08.B-E.3.1.2 Solve linear equations that have rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
        Options
        • Alternate Eligible Content - M08.B-E.3.1.2a Solve a 2-step real-world problem using an algebraic equation involving addition or subtraction and one variable.
          Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
      • Eligible Content - M08.B-E.3.1.3 Interpret solutions to a system of two linear equations in two variables as points of intersection of their graphs because points of intersection satisfy both equations simultaneously.
        Options
      • Eligible Content - M08.B-E.3.1.4 Solve systems of two linear equations in two variables algebraically and estimate solutions by graphing the equations. Solve simple cases by inspection. Example: 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
        Options
      • Eligible Content - M08.B-E.3.1.5 Solve real-world and mathematical problems leading to two linear equations in two variables. Example: Given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
        Options
        • Alternate Eligible Content - M08.B-E.3.1.5a Graph a linear equation.
          Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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