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Honors Algebra Warm-up

Honors Algebra Warm-up. Factor 16x 2 – 24xy 2 + 9y 4 (4x – 3y 2 ) 2. Factor the trinomial 2 c 2 – 17 c + 36, if possible. If the trinomial cannot be factored using integers, write prime . 5Min 5-1. (2 c – 9)( c – 4). What are the factors of b 2 – 3 b – 18?. 5Min 4-6.

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Honors Algebra Warm-up

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  1. Honors Algebra Warm-up Factor 16x2 – 24xy2 + 9y4 (4x – 3y2)2

  2. Factor the trinomial 2c2– 17c + 36, if possible. If the trinomial cannot be factored using integers, write prime. 5Min 5-1 (2c – 9)(c – 4)

  3. What are the factors of b2– 3b – 18? 5Min 4-6 (b+ 3)(b – 6)

  4. 3. The height h of a ball thrown upward at a speed of 24 feet per second can be modeled by h = 24t – 16t2, where t is time in seconds. How long can this ball remain in the air before bouncing? 5Min 3-5 1.5 seconds

  5. Solve the equation 7x2+ 25x – 12 = 0. 5Min 5-4

  6. 5. Factor the polynomial x2– 121, if possible. If the polynomial cannot be factored, write prime. 5Min 6-1 (x + 11)(x – 11)

  7. 6. Factor the polynomial –36x2 + 1, if possible. If the polynomial cannot be factored, write prime. 5Min 6-2 (1 + 6x)(1 – 6x)

  8. Solve the equation x2+ 8x = –12. 5Min 4-4 {–6, –2}

  9. 8. Factor the polynomial a2– 5a + 9, if possible. If the polynomial cannot be factored using integers, write prime. 5Min 1-1 Prime

  10. 9. Factor the trinomial –1 – 5x + 24x2. 5Min 4-2 (8x + 1)(3x – 1)

  11. Refer to the figure. The area of the trapezoid with bases b1 and b2is described by square units. What is the height of the trapezoid? 5Min 4-5 4 units

  12. 11. The area of a rectangle is given by 6y2 + 5y – 6 and the width is given by 3y – 2. What is the length? 2y + 3

  13. 12. The sum of the squares of two consecutive positive integers is 61. What are the two integers? 5Min 5-5 5, 6

  14. 13. Write an expression for the height of the parallelogram shown, if the area is given by 2x2 + 13x – 45. 5Min 3-6 x + 9

  15. Solve the equation 2x2+ 11x – 21 = 0. 5Min 1-4 {–7, 3/2}

  16. Solve the equation 5x2= 125. 5Min 1-3 {–5, 5}

  17. 16. Factor the trinomial 5g2 + 14g – 10, if possible. If the trinomial cannot be factored using integers, write prime. 5Min 5-2 prime

  18. Solve the equation y2– 8y – 20 = 0. 5Min 4-3 {–2, 10}

  19. 18. Factor the polynomial 6z2– z – 1, if possible. If the polynomial cannot be factored using integers, write prime. 5Min 1-2 (3z + 1)(2z – 1)

  20. 19. Solve 4c2 = 49. 5Min 6-3

  21. 20. Solve 25x3 – 9x = 0 by factoring. 5Min 6-4

  22. 21. Solve the equation 4n2+ 11n = –6. 5Min 5-3

  23. 22. Which is the solution set of 6x2 + 13x = –6? 5Min 5-6

  24. Refer to the figure. A square with sides of length b is removed from a square with sides of length 8. Write an expression to compare the area of the remaining figure to the area of the original square. 5Min 6-5

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