Math Practice 101
Homework Explained - Math Practice 101

Dear guest, you are not a registered member. As a guest, you only have read-only access to our books, tests and other practice materials.

As a registered member you can:

Registration is free and doesn't require any type of payment information. Click here to Register.
Go to page:  

Grade 8 HMH Go Math - Answer Keys
Chapter 8:Solving Systems of Linear Equations; Lesson 2: Solving Systems by Substitution


Please share this page with your friends on FaceBook

Guided Practice

Solve each system of linear equations by substitution.

  • Question 1 (request help)

    \(\begin{cases}
    3x - 2y = 9\\
    y = 2x - 7
    \end{cases}\)
  • \(x=\)   
    \(y=\)   
  • Question 2 (request help)

    \(\begin{cases}
    y = x- 4\\
    2x+y = 5
    \end{cases}\)
  • \(x=\)   
    \(y=\)   
  • Question 3 (request help)

    \(\begin{cases}
    x +4y = 6\\
    y = -x +3
    \end{cases}\)
  • \(x=\)   
    \(y=\)   
  • Question 4 (request help)

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

     
  • \(x=\)   
    \(y=\)   

Solve each system. Estimate the solution first.

  • Question 5 (request help)

    \(\begin{cases}
    6x + y = 4\\
    x - 4 y = 19
    \end{cases}\)

    Estimate______________
    Solution______________
  • Type below:
  • Question 6 (request help)

    \(\begin{cases}
    x + 2y = 8\\
    3x + 2 y = 6
    \end{cases}\)

    Estimate_____________
    Solution_____________
  • Type below:
  • Question 7 (request help)

    \(\begin{cases}
    3x + y = 4\\
    5x - y = 22
    \end{cases}\)

    Estimate______________
    Solution______________
  • Type below:
  • Question 8 (request help)

    \(\begin{cases}
    2x + 7y = 2\\
    x + y = -1
    \end{cases}\)

    Estimate_______________
    Solution________________
  • Type below:
  • Question 9 (request help)

    Adult tickets to Space City amusement park cost x dollars. Children’s tickets cost y dollars. The Henson family bought 3 adult and 1 child tickets for $163. The Garcia family bought 2 adult and 3 child tickets for $174. 
    a. Write equations to represent the Hensons’ cost and the Garcias’ cost.

    Hensons’ cost: ________________   

    Garcias’ cost:__________________
  • Type below:
  • Question 9 (request help)

    b. Solve the system.
  • adult ticket price: $   
    child ticket price:   

ESSENTIAL QUESTION CHECK-IN

  • Question 10 (request help)

    How can you decide which variable to solve for first when you are solving a linear system by substitution?
  • Type below:

Yes, email page to my online tutor. (if you didn't add a tutor yet, you can add one here)