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Find the point of intersection of two linear relations · Grade 9 · C3.3

Name: ______________________

Date: ______________________

  1. 1

    Find the x-coordinate where y = 5x − 5 and y = 1x − 9 intersect.

    Warm-up

    Answer:

  2. 2

    Find the x-coordinate where y = 4x − 5 and y = 1x + 13 intersect.

    Warm-up

    Answer:

  3. 3

    Find the x-coordinate where y = 3x + 2 and y = 2x + 1 intersect.

    Warm-up

    Answer:

  4. 4

    Find the x-coordinate where y = 5x + 6 and y = 1x − 6 intersect. Give a fraction in lowest terms if needed.

    On level

    Answer:

  5. 5

    Find the x-coordinate where y = 5x + 4 and y = 4x + 4 intersect. Give a fraction in lowest terms if needed.

    On level

    Answer:

  6. 6

    Find the x-coordinate where y = 6x − 3 and y = 4x + 1 intersect. Give a fraction in lowest terms if needed.

    On level

    Answer:

  7. 7

    Find the x-coordinate where y = -3x − 6 and y = -8x + 9 intersect. Give a fraction in lowest terms if needed.

    Challenge

    Answer:

  8. 8

    Find the x-coordinate where y = -4x − 8 and y = -9x − 3 intersect. Give a fraction in lowest terms if needed.

    Challenge

    Answer:

  9. 9

    Find the x-coordinate where y = -2x + 2 and y = -7x + 3 intersect. Give a fraction in lowest terms if needed.

    Challenge

    Answer:

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Worksheet code: eyJzIjoiYWxnZWJyYS1saW5lYXItaW50ZXJzZWN0aW9uIiwiZCI6WzEzMjYxMDczMjUsMTQ1ODgzMDcyMywxODQ4MzM3OTAyLDIwODc0NjM1NjAsMjA4NDcxMzU2LDE0MjQ1MjkyMjUsMTAzNzA1MTg1MCw1MzExNTIzNjQsMjA5NjU3NzQ2OF0sInYiOjF9.b378c7249c3c

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Answer key · Find the point of intersection of two linear relations

  1. 1.
    -1 — Set equal: 5x − 5 = 1x − 9, so 4x = -4, giving x = -1.
  2. 2.
    6 — Set equal: 4x − 5 = 1x + 13, so 3x = 18, giving x = 6.
  3. 3.
    -1 — Set equal: 3x + 2 = 2x + 1, so 1x = -1, giving x = -1.
  4. 4.
    -3 — Set equal: 4x = -12, so x = -12/4 = -3.
  5. 5.
    0 — Set equal: 1x = 0, so x = 0/1 = 0.
  6. 6.
    2 — Set equal: 2x = 4, so x = 4/2 = 2.
  7. 7.
    3 — Set equal: 5x = 15, so x = 15/5 = 3.
  8. 8.
    1 — Set equal: 5x = 5, so x = 5/5 = 1.
  9. 9.
    1/5 — Set equal: 5x = 1, so x = 1/5 = 1/5.