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Grade 8 Algebra: Checking Solutions of Systems

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Level 3

Choosing the solution

  1. 1. Which ordered pair is the solution:
    {y=−3x+7y=x−1(1,4), (2,1), (3,−2)\begin{cases} y = -3x + 7 \\ y = x - 1 \end{cases}\quad (1, 4),\ (2, 1),\ (3, -2)
  2. 2. Which ordered pair is the solution:
    {2x+y=8x−y=1(2,4), (4,0), (3,2)\begin{cases} 2x + y = 8 \\ x - y = 1 \end{cases}\quad (2, 4),\ (4, 0),\ (3, 2)
  3. 3. Which ordered pair is the solution:
    {x+y=−12x−y=−8(1,−2), (−3,2), (−2,1)\begin{cases} x + y = -1 \\ 2x - y = -8 \end{cases}\quad (1, -2),\ (-3, 2),\ (-2, 1)
  4. 4. Which ordered pair is the solution:
    {y=12x+1y=−x+4(4,3), (0,1), (2,2)\begin{cases} y = \tfrac{1}{2}x + 1 \\ y = -x + 4 \end{cases}\quad (4, 3),\ (0, 1),\ (2, 2)
  5. 5. Which ordered pair is the solution:
    {3x+2y=12x−2y=−4(4,0), (2,3), (0,2)\begin{cases} 3x + 2y = 12 \\ x - 2y = -4 \end{cases}\quad (4, 0),\ (2, 3),\ (0, 2)
  6. 6. Find k so that (2, k) is a solution:
    {y=3x−1y=x+3\begin{cases} y = 3x - 1 \\ y = x + 3 \end{cases}
  7. 7. Is the ordered pair a solution of the system:
    {2x+y=54x−y=4(1.5,2)\begin{cases} 2x + y = 5 \\ 4x - y = 4 \end{cases}\quad (1.5, 2)
  8. 8. Is the ordered pair a solution of the system:
    {4x+y=52x−y=−1(12,3)\begin{cases} 4x + y = 5 \\ 2x - y = -1 \end{cases}\quad (\tfrac{1}{2}, 3)