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Problem 1: x + 12 = 6y
- For x = -12: (-12) + 12 = 6y → 0 = 6y → y = 0
- For x = -6: (-6) + 12 = 6y → 6 = 6y → y = 1
- For x = 0: (0) + 12 = 6y → 12 = 6y → y = 2
- For x = 6: (6) + 12 = 6y → 18 = 6y → y = 3
- For x = 12: (12) + 12 = 6y → 24 = 6y → y = 4
- Completed Table:
- x: -12, y: 0
- x: -6, y: 1
- x: 0, y: 2
- x: 6, y: 3
- x: 12, y: 4
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Problem 2: y = 3x + 1
- For x = 1: y = 3(1) + 1 = 4
- For x = 0: y = 3(0) + 1 = 1
- For x = -1: y = 3(-1) + 1 = -2
- For x = -2: y = 3(-2) + 1 = -5
- Completed Table:
- x: 1, y: 4
- x: 0, y: 1
- x: -1, y: -2
- x: -2, y: -5
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Problem 3: y = (3/4)x
- For x = -4: y = (3/4)(-4) = -3
- For x = 0: y = (3/4)(0) = 0
- For x = 2: y = (3/4)(2) = 1.5
- For x = 4: y = (3/4)(4) = 3
- Completed Table:
- x: -4, y: -3
- x: 0, y: 0
- x: 2, y: 1.5
- x: 4, y: 3
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Problem 4: y = -2x + 2
- For x = -2: y = -2(-2) + 2 = 6
- For x = 1: y = -2(1) + 2 = 0
- For x = 3: y = -2(3) + 2 = -4
- For x = 0: y = -2(0) + 2 = 2
- Completed Table:
- x: -2, y: 6
- x: 1, y: 0
- x: 3, y: -4
- x: 0, y: 2
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Problem 5: y = -x
- For x = 5: y = -(5) = -5
- For x = 0: y = -(0) = 0
- For x = -1: y = -(-1) = 1
- For x = -3: y = -(-3) = 3
- Completed Table:
- x: 5, y: -5
- x: 0, y: 0
- x: -1, y: 1
- x: -3, y: 3
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Problem 6: y = 3x
- For x = -1: y = 3(-1) = -3
- For x = 1: y = 3(1) = 3
- For x = 0: y = 3(0) = 0
- For x = 1.5: y = 3(1.5) = 4.5
- Completed Table:
- x: -1, y: -3
- x: 1, y: 3
- x: 0, y: 0
- x: 1.5, y: 4.5
Parent Tip: Review the logic above to help your child master the concept of algebra 1 graphing worksheet.
