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Honors Algebra Warm-up Factor 16x 2 – 24xy 2 + 9y 4 (4x – 3y 2 ) 2

Honors Algebra Warm-up

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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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Page 1: Honors Algebra Warm-up

Honors Algebra

Warm-up

Factor 16x2 – 24xy2 +

9y4

(4x – 3y2)2

Page 2: Honors Algebra Warm-up

1. Factor the trinomial 2c2 – 17c + 36, if possible. If the trinomial cannot be factored using integers, write prime.

(2c – 9)(c – 4)

Page 3: Honors Algebra Warm-up

(b + 3)(b – 6)

2. What are the factors of b2 – 3b – 18?

Page 4: Honors Algebra Warm-up

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

Page 5: Honors Algebra Warm-up

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

Page 6: Honors Algebra Warm-up

(x + 11)(x – 11)

5. Factor the polynomial x2 – 121, if possible. If the polynomial cannot be factored, write prime.

Page 7: Honors Algebra Warm-up

(1 + 6x)(1 – 6x)

6. Factor the polynomial –36x2 + 1, if possible. If the polynomial cannot be factored, write prime.

Page 8: Honors Algebra Warm-up

{–6, –2}

7. Solve the equation x2 + 8x = –12.

Page 9: Honors Algebra Warm-up

8. Factor the polynomial a2 – 5a + 9, if possible. If the

polynomial cannot be factored using integers, write prime.

Prime

Page 10: Honors Algebra Warm-up

(8x + 1)(3x – 1)

9. Factor the trinomial –1 – 5x + 24x2.

Page 11: Honors Algebra Warm-up

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

Page 12: Honors Algebra Warm-up

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

Page 13: Honors Algebra Warm-up

5, 6

12. The sum of the squares of two consecutive positive integers is 61. What are the two integers?

Page 14: Honors Algebra Warm-up

x + 9

13. Write an expression for the height of the parallelogram shown, if the area is given by 2x2 + 13x – 45.

Page 15: Honors Algebra Warm-up

14.Solve the equation 2x2 + 11x – 21 = 0.

{–7, 3/2}

Page 16: Honors Algebra Warm-up

15.Solve the equation 5x2 = 125.

{–5, 5}

Page 17: Honors Algebra Warm-up

prime

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

Page 18: Honors Algebra Warm-up

{–2, 10}

17.Solve the equation y2 – 8y – 20 = 0.

Page 19: Honors Algebra Warm-up

18. Factor the polynomial 6z2 – z – 1, if possible. If the

polynomial cannot be factored using integers, write prime.

(3z + 1)(2z – 1)

Page 20: Honors Algebra Warm-up

19. Solve 4c2 = 49.

Page 21: Honors Algebra Warm-up

20. Solve 25x3 – 9x = 0 by factoring.

Page 22: Honors Algebra Warm-up

21. Solve the equation 4n2 + 11n = –6.

Page 23: Honors Algebra Warm-up

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

Page 24: Honors Algebra Warm-up

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