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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. - PowerPoint PPT Presentation
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1. Factor the trinomial 2c2 – 17c + 36, if possible. If the trinomial cannot be factored using integers, write prime.
(2c – 9)(c – 4)
(b + 3)(b – 6)
2. What are the factors of b2 – 3b – 18?
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?
1.5 seconds
4. Solve the equation 7x2 + 25x – 12 = 0.
(x + 11)(x – 11)
5. Factor the polynomial x2 – 121, if possible. If the polynomial cannot be factored, write prime.
(1 + 6x)(1 – 6x)
6. Factor the polynomial –36x2 + 1, if possible. If the polynomial cannot be factored, write prime.
{–6, –2}
7. Solve the equation x2 + 8x = –12.
8. Factor the polynomial a2 – 5a + 9, if possible. If the
polynomial cannot be factored using integers, write prime.
Prime
(8x + 1)(3x – 1)
9. Factor the trinomial –1 – 5x + 24x2.
10. Refer to the figure. The area of the trapezoid with bases b1 and b2 is described by
square units. What is the height of the trapezoid?
4 units
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
5, 6
12. The sum of the squares of two consecutive positive integers is 61. What are the two integers?
x + 9
13. Write an expression for the height of the parallelogram shown, if the area is given by 2x2 + 13x – 45.
14.Solve the equation 2x2 + 11x – 21 = 0.
{–7, 3/2}
15.Solve the equation 5x2 = 125.
{–5, 5}
prime
16. Factor the trinomial 5g2 + 14g – 10, if possible. If the trinomial cannot be factored using integers, write prime.
{–2, 10}
17.Solve the equation y2 – 8y – 20 = 0.
18. Factor the polynomial 6z2 – z – 1, if possible. If the
polynomial cannot be factored using integers, write prime.
(3z + 1)(2z – 1)
19. Solve 4c2 = 49.
20. Solve 25x3 – 9x = 0 by factoring.
21. Solve the equation 4n2 + 11n = –6.
22. Which is the solution set of 6x2 + 13x = –6?
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.
64−𝑏26 4