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Algeopordy

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• 1. Quadratic Graphing Roots of FactoringEquations Quadratics Quadratics Quadratics 1 point 1 point 1 point 1 point2 points 2 points 2 points 2 points3 points 3 points 3 points 3 points
• 2. Identify the equation below that is a quadratic equation.A. 4x3 + 2x2 + 7x + 4 B. x2 + 8x - 16C. (x2 + y2) – 4 = 0 D. x3 + 2x + 5
• 3. 2 ± sqrt( 4 + 24)) is which equation written in the 2 quadratic formula? A. 2x2 + 2x – 6 B. x2 – 2x - 6 C. x2 + 2x – 6 D. x2 + 2x + 6
• 4. (x – 6) = 0 and (x – 12) = 0 are the factors for which of the following quadratic equations:A. x2 + 18x – 72 B. x2 - 18x – 72C. x2 + 18x + 72 D. x2 - 18x + 72
• 5. Identify the Graph of a Quadratic Function. y = 2x+3 y = 5x2 +4x-4 y = x3 +2x+1 y =|3x-3|
• 6. Draw the graph of the translation of the quadratic function y = x2 up 2 units and to the right 4 units.
• 7. Draw the Graph of y = 2x + 1 and y = x2 + 2x – 6 from -4 < x < 4 and find the place (s) they intersect on the graph.
• 8. Find the coordinates of the root(s) on the graph shown.
• 9. For 6x2 + 27x + 30, which has a factorization of (3x + 6)(2x+5) = 0 what are the roots?
• 10. Use the quadratic formula to find the roots of 2x2 + 7x – 13.
• 11. CHOOSE THE FACTORS OF THIS QUADRATIC EQUATION x2 + 6x + 9A. (x + 9)(x + 7) B. (x + 3)(x + 3)C. (x - 1)(x - 3) D. (x - 5)(x - 3)
• 12. CHOOSE THE FACTORS OF THIS QUADRATIC EQUATION x2 + -6x -16 A. (x - 8)(x + 2) B. (x - 8 )(x - 2) C. (x + 8)(x - 2) D. (x + 8)(x + 2)
• 13. FACTOR: x 2 - 10x - 75
• 14. Identify the equation below that is a quadratic equation. B. x2 + 8x – 16 A quadratic equation has the form ax2 + bx + c where a, b and c are numbers and at least a is non-zero
• 15. 2 ± sqrt( 4 + 24)) is which equation written in the 2 quadratic formula? B. x2 – 2x – 6 x = -b ± sqrt(b2 – 4ac)) 2a General quadratic: ax2 + bx + c 2 = -b, b = -2 2a = 2, a = 1 -4ac = 24, 4c = -24, c = -6
• 16. (x – 6) = 0 and (x – 12) = 0 are the factors for which of the following quadratic equations: D. x2 - 18x + 72(x – 6)(x – 12)= (x)(x) – 6x – 12x + (6)(12)= x2 – 18x + 72
• 17. Identify the Graph of a Quadratic Function. y = 5x2 + 4x - 4
• 18. Draw the graph of the translation of the quadratic function y = x2 up 2 units and to the right 4 units. y = (x – 4)2 + 2
• 19. Draw the Graph of y = 2x + 1 and y = x2 + 2x – 6 from -4 < x < 4 and find the place (s) they intersect on the graph. y = x2 + 2x - 6 y = 2x +1
• 20. Find the coordinates of the root(s) of the graph shown. (0.5, 0) (-2.5, 0)
• 21. For 6x2 + 27x + 30, which has a factorization of(3x + 6)(2x+5) = 0 what are the roots? x = -2, x = -5/2 3x + 6 = 0 2x + 5 = 0 3x = -6 2x = -5 x = -2 x = -5/2
• 22. Use the quadratic formula to find the roots of 2x2 + 7x – 13.x = [-7 ± sqrt(72 – 4(2)(-13))]/2x = [-7 ± sqrt( 49 + 104)]/2x = -(7/2) ± (sqrt(153)/2)x = -3.5 ± 1.5(sqrt(17))
• 23. CHOOSE THE FACTORS OF THIS QUADRATIC EQUATION x2 + 6x + 9 B. (x + 3)(x + 3)x2 + 3x + 3x + 9x(x + 3) + 3(x + 3)(x + 3)(x + 3)
• 24. CHOOSE THE FACTORS OF THIS QUADRATIC EQUATION x2 + -6x -16 A. (x - 8)(x + 2)x2 - 8x + 2x - 16x(x - 8) + 2(x - 8)(x - 8)(x + 2)
• 25. FACTOR: x 2 + -10x - 75 ANSWER: (x - 15)(x + 5) x2 – 15x + 5x – 75 x(x – 15) + 5(x – 15) (x – 15)(x + 5)