Homework Explained - Math Practice 101

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Grade 8 HMH Go Math - Answer Keys
Chapter 8:Solving Systems of Linear Equations; Lesson1: Solving Systems of Linear Equations by Graphing


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  Guided Practice  

Solve each system by graphing.

  • Question 1 (request help)

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

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  • Question 2 (request help)

    \(\begin{cases}
    x - 3y = 2\\
    -3x + 9y = -6
    \end{cases}\)

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  • Question 3 (request help)

    Mrs. Morales wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. 
    a. Write an equation in slope-intercept form to represent the number of questions on the test.

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  • Question 3 (request help)

    b. Write an equation in slope-intercept form to represent the total number of points on the test.

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  • Question 3 (request help)

    c. Graph the solutions of both equations.

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  • Question 3 (request help)

    d. Use your graph to tell how many of each question type are on the test.

  •    spelling questions
       vocabulary questions

ESSENTIAL QUESTION CHECK-IN

  • Question 4 (request help)

    When you graph a system of linear equations, why does the intersection of the two lines represent the solution of the system?

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