Math Practice 101
Homework Explained - Math Practice 101

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


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Selected Response

  • Question 1 (request help)

    The graph of which equation is shown?
    • A. \(y = -2x + 2\)
    • B. \(y = -x + 2\)
    • C. \(y = 2x + 2\)
    • D. \(y = 2x + 1\)
  • Question 2 (request help)

    Which best describes the solutions to the system

     \(\begin{cases}
     x + y = -4\\
    -2x - 2y = 0
    \end{cases}\)?
    • A. one solution
    • B. no solution
    • C. infinitely many
    • D. (0, 0)
  • Question 3 (request help)

    Which of the following represents 0.000056023 written in scientific notation?
    • A. \(5.6023 \times 10^5\)
    • B. \( 5.6023 \times 10^4 \)
    • C. \(5.6023 \times 10^{-4}\)
    • D. \(5.6023 \times 10^{-5}\)
  • Question 4 (request help)

    Which is the solution to

     \(\begin{cases}
    2x - y = 1\\
    4x + y = 11
    \end{cases}\) ?
    • A. (2, 3)
    • B. (3, 2)
    • C. (-2, 3)
    • D. (3, -2)
  • Question 5 (request help)

    Which expression can you substitute in the indicated equation to solve

    \(\begin{cases}
    3x - y = 5\\
    x + 2 y = 4
    \end{cases}\)?
    • A. 2y - 4 for x in 3x - y = 5
    • B. 4 - x for y in 3x - y = 5
    • C. 3x - 5 for y in 3x - y = 5
    • D. 3x - 5 for y in x + 2y = 4
  • Question 6 (request help)

    What is the solution to the system of linear equations shown on the graph?
    • A. -1
    • B. -2
    • C. (-1, -2)
    • D. (-2, -1)
  • Question 7 (request help)

    Which step could you use to start solving

    \(\begin{cases}
    x - 6y = 8\\
    2x - 5 y = 3
    \end{cases}\)?
    • A. Add 2x - 5y = 3 to x - 6y = 8.
    • B. Multiply x - 6y = 8 by 2 and add it to 2x - 5y = 3.
    • C. Multiply x - 6y = 8 by 2 and subtract it from 2x - 5y = 3.
    • D. Substitute x = 6y - 8 for x in 2x - 5y = 3.

Mini-Task

  • Question 8 (request help)

    A hot-air balloon begins rising from the ground at 4 meters per second at the same time a parachutist’s chute opens at a height of 200 meters. The parachutist descends at 6 meters per second.
    a. Define the variables and write a system that represents the situation.
  • Type below:
  • Question 8 (request help)

    b. Find the solution. What does it mean?
  • Type below:

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