1. a. Complete the table:
- 1st term: 3
- 2nd term: 6
- 3rd term: 9
- 4th term: 12
- 5th term: 15
- 6th term: 18
- 7th term: 21
- 8th term: 24
- 9th term: 27
- 10th term: 30
b. Describe the pattern: Each term increases by 3.
c. What is the 20th term in this pattern? The 20th term is 60.
d. What is the 50th term in this pattern? The 50th term is 150.
e. What is the 100th term in this pattern? The 100th term is 300.
f. Write the 100th term as a power of 10: 3 × 10²
2. a. y = x + 5
- Description: Add 5 to the input value.
b. y = x - 3
- Description: Subtract 3 from the input value.
c. y = 3x + 2
- Description: Multiply the input value by 3, then add 2.
d. y = 2x - 1
- Description: Multiply the input value by 2, then subtract 1.
e. What is the relationship between the input and the output? The output is determined by applying a specific mathematical operation or sequence of operations to the input value.
Parent Tip: Review the logic above to help your child master the concept of linear patterns worksheet.
