19/03/2020 Simplifying Algebraic Expressions(Study by Topics Junior Class) 19/03/2020 0Comments by Gate Academy Welcome to your Simplifying Algebraic Expressions(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. If xy + 1 = y² and z = 1/x - 1/xy, express z in terms of y 1/ y-1 1 + y 1/ y+1 1/ x-y 2. Expand (3x + y + 7)(x² - 4y + 5) 3x³ + 2x²y - 12xy +7x² + 15x - y² - 23y + 35 3x³ + x²y - 12xy +7x² + 15x - 4y² - 23y + 35 3x³ + x²y - 11xy +7x² + 15x - 4y² - 28y + 35 3x³ + x²y - 12xy +7x² + 15x - 4y² - 23y + 35 3. Express z in terms of x and y in the equation z = x/ y(2-x) z = x²y²/ 2-xy z = xy²/ 2-y² z = x²y/ 2-x² 4. Simplify 6x - 3y - (4x - 7y) 2x + 10y 2x - 10y 2x + 4y 10x - 4y 10x + 4y 5. Divide y³ - 2y² - 5y + 6 by (y - 1) y²- y - 6 y² - 7y + 6 y² - 5y - 6 y² - 5y + 6 6. Simplify 3a - (9a - 5b) 5b - 6a -6a - 5b 6a - 5b 12a + 5b 6a + 5b 7. Simplify: 8a - 3(2a - 3b) 2a + 3b 2a + 9b 2a - 9b 5a - 9b 8. Expand this (3a + 2)² 9. What number is known as the multiplicative identity? 10. Make b the subject of formula b = d²/ a-c² b = cd²/ a-c³ b = a-c³/ cd² b = cd/ a-c³ 11. 9ab × 6a 76a²b 48a²b 54a²b 56a²b 54ab 12. 7(y + 1) - x(y + 1) (y + 1)(7 - x) 7y-x 7y + 7 - xy - x (y + 1)(7x) 13. Simplify (a² - b²)/(a + b) (a - b)/(a + b) a + b a - b (a + b)(a - b) (a + b)/(a - b) 14. 3x + 1 + 8x + 9 12x + 10 5x + 8 11x + 11 11x + 10 15. 6b × 4b 28b² 84b² 24b² 36b² 75b² 16. Make y the subject of formula x = a+y/ a-y y = ax-1/ x+1 y = ax/ a+1 y = 2a-x/ a+x y = a(x-1)/ x+1 17. 6a × 3 20a 8a 9a 15a 18a 18. Simplify -2xy² - 4x²y 4xy - 2y -2xy(y + 2x) 2x(2y - 4xy) 2y(y - 2xy) 19. 4(x + 8) - 9 4x + 32 4x + 23 4x + 24 12x - 9 20. Make y the subject of the relation c+d/ a(c-d) cd/ a(c-d) c-d/ a(c+d) c-d/ acd 1 out of 20 Time is Up! Time's up
