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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 = 2x + 4 and y = -2x + 28 intersect.

    Warm-up

    Answer:

  2. 2

    Find the x-coordinate where y = 5x − 1 and y = 1x − 17 intersect.

    Warm-up

    Answer:

  3. 3

    Find the x-coordinate where y = 4x − 3 and y = 0x + 5 intersect.

    Warm-up

    Answer:

  4. 4

    Find the x-coordinate where y = 6x + 4 and y = 3x + 5 intersect. Give a fraction in lowest terms if needed.

    On level

    Answer:

  5. 5

    Find the x-coordinate where y = 4x − 3 and y = 0x − 2 intersect. Give a fraction in lowest terms if needed.

    On level

    Answer:

  6. 6

    Find the x-coordinate where y = 3x + 2 and y = -1x + 6 intersect. Give a fraction in lowest terms if needed.

    On level

    Answer:

  7. 7

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

    Challenge

    Answer:

  8. 8

    Find the x-coordinate where y = -1x + 8 and y = -6x + 9 intersect. Give a fraction in lowest terms if needed.

    Challenge

    Answer:

  9. 9

    Find the x-coordinate where y = -3x + 7 and y = -4x + 7 intersect. Give a fraction in lowest terms if needed.

    Challenge

    Answer:

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Worksheet code: eyJzIjoiYWxnZWJyYS1saW5lYXItaW50ZXJzZWN0aW9uIiwiZCI6WzEzODM2NjcxNjAsMTY2NzI4NDAxMSwyMTQxNTE5NTE2LDQzOTc1NzMyNSw0MDc1NzYwNTksMTM0NzU5MTA3NSwxNDA1NDAwNjMxLDEyNjk0OTM5MDMsMTIwMTAyMDA5NV0sInYiOjF9.4d153de94abd

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

  1. 1.
    6 — Set equal: 2x + 4 = -2x + 28, so 4x = 24, giving x = 6.
  2. 2.
    -4 — Set equal: 5x − 1 = 1x − 17, so 4x = -16, giving x = -4.
  3. 3.
    2 — Set equal: 4x − 3 = 0x + 5, so 4x = 8, giving x = 2.
  4. 4.
    1/3 — Set equal: 3x = 1, so x = 1/3 = 1/3.
  5. 5.
    1/4 — Set equal: 4x = 1, so x = 1/4 = 1/4.
  6. 6.
    1 — Set equal: 4x = 4, so x = 4/4 = 1.
  7. 7.
    -5 — Set equal: 2x = -10, so x = -10/2 = -5.
  8. 8.
    1/5 — Set equal: 5x = 1, so x = 1/5 = 1/5.
  9. 9.
    0 — Set equal: 1x = 0, so x = 0/1 = 0.