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

Name: ______________________

Date: ______________________

1
Find the x-coordinate where y = 2x + 5 and y = 1x + 7 intersect.
Warm-up
Answer:
2
Find the x-coordinate where y = 2x − 6 and y = -1x − 6 intersect.
Warm-up
Answer:
3
Find the x-coordinate where y = 3x − 5 and y = 2x − 8 intersect.
Warm-up
Answer:
4
Find the x-coordinate where y = 5x − 4 and y = 1x + 1 intersect. Give a fraction in lowest terms if needed.
On level
Answer:
5
Find the x-coordinate where y = 7x − 3 and y = 5x + 3 intersect. Give a fraction in lowest terms if needed.
On level
Answer:
6
Find the x-coordinate where y = 6x + 1 and y = 3x + 6 intersect. Give a fraction in lowest terms if needed.
On level
Answer:
7
Find the x-coordinate where y = -4x + 3 and y = -5x + 9 intersect. Give a fraction in lowest terms if needed.
Challenge
Answer:
8
Find the x-coordinate where y = -1x − 9 and y = -2x − 8 intersect. Give a fraction in lowest terms if needed.
Challenge
Answer:
9
Find the x-coordinate where y = -4x + 7 and y = -9x − 6 intersect. Give a fraction in lowest terms if needed.
Challenge
Answer:

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Worksheet code: eyJzIjoiYWxnZWJyYS1saW5lYXItaW50ZXJzZWN0aW9uIiwiZCI6WzIwNzUwMjY1MzAsMTY0MDg4MDcxMiwxNjQyODg1MTEwLDk0MzA0MjE1OSw3NTA2MTgzNDYsMjY2NjE0NTgyLDk0OTAxOTcwMywxNTQzOTE1NzM0LDY1OTc3NTUwXSwidiI6MX0.d5ae5bd3363c

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

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