= 4x5 + 5x3 x2 + 12x4 + 15x2 3x 16x3 – – – – 20x + 4 = 4x5 + 12x4 11x3 + 14x2 23x + 4 – – 3) (2x 3) (3x + 2)(x2 2x 1) = (6x2 5x 6)(x2 2x 1) – – – – – – – = 6x4 17x3 22x2 + 17x + 6 – – *Do the distribution one by one. III. Exercises A. Simplify each of the following by combining like terms. 1) 6x + 7x 2) 3x 8x – 3) 3x 4x 6x + 2x – – 4) x2 + 3x 8x + 3x2 – 5) x2 5x + 3x 15 – – B. Call a student or ask for volunteers to recite the basic laws of exponent but focus more on the of a or with the same Give follow “product power” ”multiplying base”. up exercises through flashcards. 1) x12 ÷ x5 2) a-10 a12 • 3) x2 x3 • 4) 22 23 • 5) x100 x • C. Answer the following. 1. Give the product of each of the following. a) (12x2y3z)(-13ax3z4) b) 2x2(3x2 5x 6) – – c) (x 2)(x2 x + 5) – – 2. What is the area of the square whose side measures (2x 5) cm? – (Hint: Area of the square = s2) 3. Find the volume of the rectangular prism whose length, width and height are (x + 3) meter, (x 3) meter and (2x + 5) meter. (Hint: Volume of – rectangular prism = l x w x h) 4. If I bought (3x + 5) pencils which cost (5x 1) pesos each, how much will I – pay for it? Summary
= 4x5 + 5x3 – x2 + 12x4 + 15x2 – 3x – 16x3 – 20x + 4 = 4x5 + 12x4 – 11x3 + 14x2 – 23x + 4 3) (2x – 3) (3x + 2)(x2 – 2x – 1) = (6x2 – 5x – 6)(x2 – 2x – 1) = 6x4 – 17x3 – 22x2 + 17x + 6 *Do the distribution one by one. III. Exercises A. Simplify each of the following by combining like terms. 1) 6x + 7x 2) 3x – 8x 3) 3x – 4x – 6x + 2x 4) x2 + 3x – 8x + 3x2 5) x2 – 5x + 3x – 15 B. Call a student or ask for volunteers to recite the basic laws of exponent but focus more on the “product of a power” or ”multiplying with the same base”. Give follow up exercises through flashcards. 1) x12 ÷ x5 2) a-10 • a12 3) x2 • x3 4) 22 • 23 5) x100 • x C. Answer the following. 1. Give the product of each of the following. a) (12x2y3z)(-13ax3z4) b) 2x2(3x2 – 5x – 6) c) (x – 2)(x2 – x + 5) 2. What is the area of the square whose side measures (2x – 5) cm? (Hint: Area of the square = s2) 3. Find the volume of the rectangular prism whose length, width and height are (x + 3) meter, (x – 3) meter and (2x + 5) meter. (Hint: Volume of rectangular prism = l x w x h) 4. If I bought (3x + 5) pencils which cost (5x – 1) pesos each, how much will I pay for it? Summary
7-math-lm_mod3.docx