Homework Explained - Math Practice 101

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Grade 8 HMH Go Math - Answer Keys
Chapter 8: Solving Systems of Linear Equations; Model Quiz


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8.1 Solving Systems of Linear Equations by Graphing

Solve each system by graphing.

  • Question 1 (request help)

    \(\begin{cases}
    y = x - 1\\
    y = 2 x - 3
    \end{cases}\)

  •  ,
       )
  • Question 2 (request help)

    \(\begin{cases}
    x + 2y = 1\\
    -x + y = 2
    \end{cases}\)

  •  ,
       )

8.2 Solving Systems by Substitution

Solve each system of equations by substitution.

  • Question 3 (request help)

    \(\begin{cases}
    y = 2x\\
    x + y = -9
    \end{cases}\)

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       )
  • Question 4 (request help)

     \(\begin{cases}
    3x - 2y = 11\\
    x + 2 y = 9
    \end{cases}\)

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       )

8.3 Solving Systems by Elimination

Solve each system of equations by adding or subtracting.

  • Question 5 (request help)

    \(\begin{cases}
    3x + y = 9\\
    2x + y = 5
    \end{cases}\)

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       )
  • Question 6 (request help)

     \(\begin{cases}
    -x - 2y = 4\\
    3x + 2 y = 4
    \end{cases}\)

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       )

8.4 Solving Systems by Elimination with Multiplication

Solve each system of equations by multiplying first.

  • Question 7 (request help)

     \(\begin{cases}
    x + 3y = -2\\
    3x + 4y = -1
    \end{cases}\)

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       )
  • Question 8 (request help)

    \(\begin{cases}
    2x + 8y = 22\\
    3x - 2 y = 5
    \end{cases}\)

  •  ,
       )

8.5 Solving Special Systems

Solve each system. Tell how many solutions each system has.

  • Question 9 (request help)

     \(\begin{cases}
    -2x + 8y = 5\\
    x - 4y = -3
    \end{cases}\)

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  • Question 10 (request help)

     \(\begin{cases}
    6x + 18y = -12\\
    x + 3y = -2
    \end{cases}\)

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ESSENTIAL QUESTION

  • Question 11 (request help)

    What are the possible solutions to a system of linear equations, and what do they represent graphically?

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