Homework Explained - Math Practice 101

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Grade 8 HMH Go Math - Answer Keys
Chapter 8:Solving Systems of Linear Equations; Lesson 4: Solving Systems by Elimination with Multiplication


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Guided Practice

  • Question 1 (request help)

    Solve the system

     \(\begin{cases}
    3x - y = 8\\
    -2x + 4 y = - 12
    \end{cases}\)

    by multiplying and adding.

  • Type below:

Solve each system of equations by multiplying first. 

  • Question 2 (request help)

    \(\begin{cases}
    x + 4y = 2\\
    2x + 5 y = 7
    \end{cases}\)

     

  •  ,
       )
  • Question 3 (request help)

    \(\begin{cases}
    3x + y = -1\\
    2x + 3 y = 18
    \end{cases}\)

     

  •  ,
       )
  • Question 4 (request help)

    \(\begin{cases}
    2x + 8y = 21\\
    6x - 4 y = 14
    \end{cases}\)

  • Type below:
  • Question 5 (request help)

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

  •  ,
       )
  • Question 6 (request help)

    \(\begin{cases}
    6x + 5y = 19\\
    2x + 3 y = 5
    \end{cases}\)

  •  ,
       )
  • Question 7 (request help)

    \(\begin{cases}
    2x + 5y = 16\\
    -4x + 3 y = 20
    \end{cases}\)

  •  ,
       )
  • Question 8 (request help)

    Bryce spent $5.26 on some apples priced at $0.64 each and some pears priced at $0.45 each. At another store he could have bought the same number of apples at $0.32 each and the same number of pears at $0.39 each, for a total cost of $3.62. How many apples and how many pears did Bryce buy? 
    a. Write equations to represent Bryce’s expenditures at each store

    First store:_____________

    Second store:_____________

  • Type below:
  • Question 8 (request help)

     

    b. Solve the system.

  • Number of apples:    
    Number of pears:    

ESSENTIAL QUESTION CHECK-IN

  • Question 9 (request help)

    When solving a system by multiplying and then adding or subtracting, how do you decide whether to add or subtract?

  • Type below:

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