grade 8 number theory

1. The numbers 2, 3, 5 and 8. 2. The solutions of the equation x 2 - 2x - 15 = 0. 3. The letters of the word "Chase". 4. People living in our locality. 5. The students Mary, Hillary, Catherine. 6. The workers who are absent from the factory. 7. The capital cities of Asia. ..

Factorise using factor theorem. a) 2x 2 +x-3 b) 5x 2 +6x-8..

(1) Let A = {3, 4, 5, 6}, B = {6, 7, 8} and C = {8, 9, 7}. Then ..

You are familiar with factors and products in the case of numbers. For example, 8 is the product of 4 and 2. 4 and 2 are called the products of 8 . Similarly, the algebraic expression a x b x c = abc can be written as 1.a.b.c or 1.ab.c or 1.bc.a or 1.ac.b or 1.abc. 1, ..

Find a) reciprocal ratio of 3:5 b) duplicate ratio of 2:3 c) triplicate ratio of 3:4 d) sub duplicate ratio of 25:16 e) sub triplicate ratio of 27:8..

4(2x-y)=3(3x-2y) 8x-4y=9x-6y 6y-4y=9x-8x 2y=x x:y=2..

Question: Express the following sets in set builder form. (i) Set A consists of the letters p, q, r, s and t (ii) Set C = {1,3,5,7,....} (iii) Set D = {8} Answer: ..

In case of a polynomial of one variable the highest power of the variable is called the degree of the polynomial. 3y-7y 3 has degree 3 and..

Using determinants, find the area of triangle whose vertices are (2, -7), (1, 3), (10, 8). Solution: (x 1 , y 1 ) = (2, -7) (x 2 , y 2 ) = (1, 3) (x 3 , y 3 ) = (10, 8) Area of the triangle = -47.5 Since area has to be a positive quantity, it is given by 47.5 sq.units..

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