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Grade 8 HMH Go Math - Answer Keys
Chapter 8: Solving Systems of Linear Equations; Model Quiz
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8.1 Solving Systems of Linear Equations by Graphing
Solve each system by graphing. |
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Question 1
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\(\begin{cases} y = x - 1\\ y = 2 x - 3 \end{cases}\)
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Question 2
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\(\begin{cases} x + 2y = 1\\ -x + y = 2 \end{cases}\)
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8.2 Solving Systems by Substitution
Solve each system of equations by substitution. |
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Question 3
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\(\begin{cases} y = 2x\\ x + y = -9 \end{cases}\)
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Question 4
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\(\begin{cases} 3x - 2y = 11\\ x + 2 y = 9 \end{cases}\)
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8.3 Solving Systems by Elimination
Solve each system of equations by adding or subtracting. |
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Question 5
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\(\begin{cases} 3x + y = 9\\ 2x + y = 5 \end{cases}\)
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Question 6
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\(\begin{cases} -x - 2y = 4\\ 3x + 2 y = 4 \end{cases}\)
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8.4 Solving Systems by Elimination with Multiplication
Solve each system of equations by multiplying first. |
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Question 7
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\(\begin{cases} x + 3y = -2\\ 3x + 4y = -1 \end{cases}\)
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Question 8
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\(\begin{cases} 2x + 8y = 22\\ 3x - 2 y = 5 \end{cases}\)
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8.5 Solving Special Systems
Solve each system. Tell how many solutions each system has. |
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Question 9
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\(\begin{cases} -2x + 8y = 5\\ x - 4y = -3 \end{cases}\)
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Question 10
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\(\begin{cases} 6x + 18y = -12\\ x + 3y = -2 \end{cases}\)
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ESSENTIAL QUESTION |
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Question 11
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What are the possible solutions to a system of linear equations, and what do they represent graphically?
Type below:
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