For numbers 9 and 10 Gwen Renee is turning 18 this 2022. She bought a woven cloth with the dimension x + 3 and x + 5 that she will use for the souvenirs 9. If Gwen Renee will find the discriminant of the area of the woven cloth, what would it be? A. 60 B. 45 C. 4 D. -4 10. After finding the discriminant of the area of the woven cloth, how will you describe the nature of its roots? A. real numbers and equal B. irrational numbers but are not equal C. rational numbers but are not equal D. the equation has no real roots 11. With the given equation 3x² - 16x-12= 0, which of the following is the product of the roots? A. 12 B. -4 C. 4 D. 12 12. Which of the following are the roots of the quadratic equation x²-5x-24 = 0? A. -8 and -3 B. 8 and 3 C.-8 and 3 D. 8 and -3 13 If the product of roots of the quadratic equation given below is 4, then find the value of m the equation 2x² + 8x - m = 0. A. -4 B. -2 C. 2 D. 4 14. The sum and the product of the roots of a quadratic equation are 5 and 6, respectively. What is its equation? A. x²+ 5x-6=0 B. x² -5x+6=0 C. x²+6x-5=0 D. x²+ 6x+5=0 15. Which of the following rational algebraic equations is transformable to a quadratic equation? A. 1/x + 5/x+1= 6x B. x+1/2 - x+3/4 = 7 C. 6/x+ x-3/4 = 2 D. x+2/3 + x+3/5 = 3x 16. Find the roots of quadratic equation, x² + 5x + 3 = 0 A. √13-5/2, √13-5/2 B. √13+5/2, √13+5/2 C. √13-5/2, √13-5/2 D. 5-√13/2, 5√13/2 17. lan turns a page of a certain book and found out that it has an area of 96 ??² and a perimeter of 40 ??. What are the dimensions of the book? A.8 12 B. 6 16 C. 4 24 D. 2 48 For item numbers 18 and 19 Mrs. Rivera ask the Grade 9 - Tulip to prove that the expression x-4/x = 2x/x-3 can be written in standard form of a quadratic equation. 18 Which of the following is the correct equation presented by the Grade 9 - Tulip students? A. x²+7x+12= 0 B. x² - 7x+12=0 C. x² + 7x - 12 = 0 D. x2-7x-12=0 19 After showing that the expression x-4/x = 2x/x-3 can be written in standard form of the quadratic equation, Mrs. Rivera ask the students to solve for x. Which is the correct values of x? A. {4,-3} B. {-4,3} C. {-4,-3} D. {4,3} 20 Caden saw a rectangular glass in their stock room with an area of 168cm² that she can placed on a picture frame. The length of the rectangular glass is twice its width. Which of these equations represent the problem? A. w²+2 = 168 B. 2w² + 2 = 168 C. 2w² + 2w = 168 D. 2w² = 168 21. The sum of the ages of Ethan and Joy is 30 and the product is 224. What equation can be used to find their ages? A. x² + 30x + 224 = 0 B. x²-30x + 224 = 0 C. x² - 30x - 224 = 0 D. x²+30x - 224=0 For item numbers 22 and 23. Jhenn plans to make a garden full of flowering plants. She bought a lot measuring 240m². The length of the garden is 4 meters more than twice its width. 22. Formulate an equation relating the width, length and the area of the lot. A. 4+2x=240 B. x(2x+4)= 240 C. x (4+2x)=240 D.x +4x=240 23. What is the width and the length of the garden? A. 10 meters and 24 meters B. 8 meters and 24 meters C. 10 meters and 12 meters D. 12 meters and 20 meters