Homework Explained - Math Practice 101

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Grade 8 HMH Go Math - Answer Keys
Chapter 7: Solving Linear Equations; Lesson 4:Equations with Many Solutions or No Solution


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  Independent Practice  

Tell whether each equation has one, zero, or infinitely many solutions.

  • Question 7 (request help)

    \(-(2\text{x} + 2) - 1 = -\text{x} - (\text{x} + 3)\)

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  • Question 8 (request help)

    \(-2(\text{z} + 3) - \text{z} = -\text{z} - 4 (\text{z} + 2)\)

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Create an equation with the indicated number of solutions.

  • Question 9 (request help)

    No solution:

    \(3(\text{x} - \cfrac{4}{3}) = 3\text{x} + \text{_____}\)

  • Type below:
  • Question 10 (request help)

    Infinitely many solutions:

    \(2(\text{x} - 1) + 6\text{x} = 4(\text{ _____ } - 1 ) + 2\)

  • Type below:
  • Question 11 (request help)

    One solution of x = -1:

    \(5\text{x} - (\text{x} - 2) = 2\text{x} -  (\text{ _____ }) \)

  • Type below:
  • Question 12 (request help)

    Infinitely many solutions:

    \(-(\text{x} - 8) + 4\text{x} = 2(\text{ _____ })+ \text{x}\)

  • Type below:
  • Question 13 (request help)

    Persevere in Problem Solving

    The Dig It Project is designing two gardens that have the same perimeter. One garden is a trapezoid whose nonparallel sides are equal. The other is a quadrilateral. Two possible designs are shown at the right.

    a. Based on these designs, is there more than one value for x? Explain how you know this.

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  • Question 13 (request help)

    b. Why does your answer to part a make sense in this context?

  • Type below:
  • Question 13 (request help)

    c. Suppose the Dig It Project wants the perimeter of each garden to be 60 meters. What is the value of x in this case? How did you find this?

  •    meters

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