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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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Question 8
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Multi-Step Jeremy runs 7 miles per week and increases his distance by 1 mile each week. Tony runs 3 miles per week and increases his distance by 2 miles each week. In how many weeks will Jeremy and Tony be running the same distance? What will that distance be?
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Question 9
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Critical Thinking Write a real-world situation that could be represented by the system of equations shown below.
\(\begin{cases} y = 4x +10\\ y = 3x + 15 \end{cases}\)
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FOCUS ON HIGHER ORDER THINKING
Question 10
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Multistep The table shows two options provided by a high-speed Internet provider.
a. In how many months will the total cost of both options be the same? What will that cost be?
Question 10
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b . If you plan to cancel your Internet service after 9 months, which is the cheaper option? Explain.
Question 11
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Draw Conclusions How many solutions does the system formed by \(x - y = 3\) and \(ay - ax + 3a = 0\) have for a nonzero number a? Explain.
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