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Lesson 1: Comparing and Classifying Numerical Patterns — Practice Questions

  1. 1. Pattern P starts at 8. Pattern Q starts at 15. Both patterns use the rule "add 6". What is the constant difference between the corresponding terms of Pattern Q and Pattern P? The difference is ___.

  2. 2. Pattern A starts at 20 and Pattern B starts at 12. Both follow the rule "add 10". What will be the difference between the 100th term of Pattern A and the 100th term of Pattern B?

    • A. 8
    • B. 10
    • C. 100
    • D. 108
  3. 3. Two plants are growing. Plant A starts at 4 cm tall and Plant B starts at 9 cm tall. Both grow 2 cm each week. After many weeks, what is the constant height difference between Plant B and Plant A? The difference is ___ cm.

  4. 4. The difference between corresponding terms of two numerical patterns is always 11. What must be true about these two patterns?

    • A. They both start at 11.
    • B. They have the same additive rule.
    • C. The rule is "add 11".
    • D. One pattern starts at 0 and the other at 11.
  5. 5. Two patterns, X and Y, have the same additive rule. The difference between corresponding terms (Term Y - Term X) is always 9. If Pattern X starts at 6, what is the starting value of Pattern Y? ___

  6. 6. Consider two patterns, A and B, that share the same additive rule. The first term of Pattern A is 10 and the first term of Pattern B is 18. What is the difference between the fifth terms of the patterns (Term B - Term A)?

    • A. 8
    • B. 18
    • C. 26
    • D. 40
  7. 7. Pattern M starts at 50 and uses the rule "add 25". Pattern N also uses the rule "add 25". If the second term of Pattern N is 80, what is the constant difference (N - M)? The difference is ___.

  8. 8. Maria's book collection has 25 more books than Leo's. This is an additive relationship. If Leo has 80 books, Maria has ___ books.

  9. 9. Which of the following equations represents a multiplicative relationship?

    • A. $y = x + 5$
    • B. $y = x - 5$
    • C. $y = 5x$
    • D. $x - y = 5$
  10. 10. A factory produces 40 widgets per hour. This is a multiplicative relationship. In 5 hours, the factory will produce ___ widgets.