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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 = 3x − 5 and y = 1x − 13 intersect.

    Warm-up

    Answer:

  2. 2

    Find the x-coordinate where y = 4x − 6 and y = 3x − 7 intersect.

    Warm-up

    Answer:

  3. 3

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

    Warm-up

    Answer:

  4. 4

    Find the x-coordinate where y = 7x − 5 and y = 2x − 2 intersect. Give a fraction in lowest terms if needed.

    On level

    Answer:

  5. 5

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

    On level

    Answer:

  6. 6

    Find the x-coordinate where y = 5x − 1 and y = 2x − 5 intersect. Give a fraction in lowest terms if needed.

    On level

    Answer:

  7. 7

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

    Challenge

    Answer:

  8. 8

    Find the x-coordinate where y = -5x − 3 and y = -7x − 9 intersect. Give a fraction in lowest terms if needed.

    Challenge

    Answer:

  9. 9

    Find the x-coordinate where y = -2x + 7 and y = -4x − 7 intersect. Give a fraction in lowest terms if needed.

    Challenge

    Answer:

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Worksheet code: eyJzIjoiYWxnZWJyYS1saW5lYXItaW50ZXJzZWN0aW9uIiwiZCI6WzE5MTI0NTM4MTcsOTY2NDI3NzI3LDkzNDY5OTAwNyw2MzE4NTU5NTgsMTU2MDMxNzg1MywyMTA2MTI5OTI5LDQzNzg5MzQ5Miw1MTU4ODM1MDYsMTkzNzQ4MDY4Nl0sInYiOjF9.75f67e407a1c

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

  1. 1.
    -4 — Set equal: 3x − 5 = 1x − 13, so 2x = -8, giving x = -4.
  2. 2.
    -1 — Set equal: 4x − 6 = 3x − 7, so 1x = -1, giving x = -1.
  3. 3.
    -3 — Set equal: 3x + 1 = 2x − 2, so 1x = -3, giving x = -3.
  4. 4.
    3/5 — Set equal: 5x = 3, so x = 3/5 = 3/5.
  5. 5.
    12/5 — Set equal: 5x = 12, so x = 12/5 = 12/5.
  6. 6.
    -4/3 — Set equal: 3x = -4, so x = -4/3 = -4/3.
  7. 7.
    1/4 — Set equal: 4x = 1, so x = 1/4 = 1/4.
  8. 8.
    -3 — Set equal: 2x = -6, so x = -6/2 = -3.
  9. 9.
    -7 — Set equal: 2x = -14, so x = -14/2 = -7.