Math Problem Statement

Perform what is indicated in each item and choose the letter of the correct answer. 1. It is a polynomial equation of degree two that can be written in the form 3x ^ 2 + bx + c_{i} = 0 where a, b, and care real numbers and a D A. Linear Equation B. Linear Inequality C. 2. Which of the following is a quadratic equation? Quadratic Equation D. Quadratic Inequality 8.31-7-2 3. In the equation 3x ^ 2 + 7x -4*0 x which is considered 2r ^ 2 + 4r - 1 Cs55-40 2x ^ 2 - 7x + 3 as term? A3 8.7x C D-4 4. In the quadratic equation 3x7x-40, what is the value of b? 8.7 A3 87 of 289 C4 D.0 5. In the quadratic equation 3x ^ 2 + 7x - 4 + 0 what is the value of c C4 A3 Find the square root A-13 B-17 7. What is the square root of 1217 A 19 10. What are the factors of 32 whose sum is -18? B. 8 and 4 C. 16 and 2 DO C-23 D-27 8. 110 C. 11 D. 112 In the equation c + 7 * 12, v is the value of x? A. 19 C5 DS Find the roots of x ^ 2 = 25 A5 B-5 C15 D10 A-8 and-4 D-15 and 2 AG 8.3 ca D3 6h-16-07 C. 2 and 8 A 2 and D-2 and B A26 B. 6 C. 38 D. 16/2 A0 C2 0.3 16. In the equation ax+bx+c=0, which coefficient should not be equal to zero to keep it a 11. Which of the following is the standard form of the quadratic equation 2x ^ 2 + 3 =2x7 2x ^ 2 - 2x - 3 = 0 A2x²-2x+30 8.2x ^ 2 + 2x + 3 = 0 2x ^ 2 - 2x + 2 = 0 12. Find the solution of 90 13. What are the solutions of the equation 8.2 and- 14. What is the square root of 729 15. How many real mots doesx+x70 have? 8.1 quadratic equation? Aa Bb D.x 17. One of the roots of 2x ^ 2 - 11x + 12 = 0it 4. What is the other root? A-3 2 C 3 A-7 C-11 18. What is the sum of the roots of x²+2x-18-07 8.7 3 D 2 D. 11 19. Which of the following equations can be solved easily by extracting square root? CX-9-0 x ^ 2 * x * 20 = 0 20. A2 (n - 2) = 5 ) standard form and the value of t 2x ^ 2 - 50 + 0 D-5 II. PERFORMANCE TASK Directions: Find the roots of the following quadratic equations (5 pts each) By Extracting Square Roots By Factoring 191 2x ^ 2 * 50 ^ 2 x ^ 4 + 8x + 16 = 0 x ^ 2 + 6x - 16 = 0

Solution

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Math Problem Analysis

Mathematical Concepts

Quadratic Equations
Polynomials
Roots and Factors

Formulas

Quadratic equation formula: ax^2 + bx + c = 0

Theorems

Quadratic formula
Properties of square roots

Suitable Grade Level

High School