Refer to the number expressions in Box 1 to answer items 1 to 5. Box 1 Number Expressions: 2×2 3x1 3x3 -p 4x2 4×4 5x3 5x5 - 6x4 1. Your classmate said that each of the four expressions in Box 1 is equivalent to 1. Verify what your classmate said by showing your computation for the number expression 4 × 4-5 ×3. 2. What must be the next number expression to 5 x 5-6 x 4 in Box 1? 3. Which of the following algebraic expressions represents the set of number expressions in Box 1? a. (n) (n) (n+3)(n+1) b. (n)(n)-[(n + 1)(n - 1)] c. (n-1)(n - 1) - n(n-2) d. n² - 3n(1) e. n²-n-1 4. Explain or show why you think you have chosen the correct algebraic expressions for the set of number expressions in Box 1. 5. What does n represent in your chosen expression in item 3?
Answer (1)
1. Verify 4 × 4 – 5 × 3 = 16 – 15 = 1 ✔️ Tama na equivalent siya sa 1.2. Next Expression:Tingnan ang pattern: 2×2 – 3×1, 3×3 – 4×2, 4×4 – 5×3, 5×5 – 6×4Next: 6×6 – 7×53. Algebraic Expression:Ang pattern ay n² – (n+1)(n–1)4. Bakit Tama:n² ang unang bahagi (square). Ang ibinabawas ay consecutive na factors na (n+1) at (n–1). Halimbawa:4×4 – 5×3 → 16 – 15 → 15. Ano ang n:Ang n ay base number sa squared part (una sa pair).
