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Algebra II (213) Warm-ups 2st marking period Warm-up #1 11/10/08 2x – y = 5 3y + x = 6 Is (-1,1) a solution to the system of equations? If not, find a solution by graphing. Warm-up #2 11/11/08 Solve using substitution. -4y = x 2x + 6y = -3 Solve using elimination. 4x – 9y = 26 4x – 5y = 2 Warm-up #3 11/12/08 Solve by graphing. 4x + 2y = 10 y=x+2 Warm-up #4 11/13/08 Solve by substitution. Solve by elimination. y = 2x -1 2x + y = 7 3x + 5y = 1 2x + y = 3 No warm-up on 11/14/08- Quiz Warm-up #5 11/17/08 Write an equation based on the following statement. 1. The sum of the digits of a two-digit number is 14. 2. Al has 137 coins that consist of quarters and nickels. 3. Tom is 6 times older than Sam. Warm-up #6 11/18/08 Graph the following inequalities. A. 3x – 5y > 10 B. x 2y + 4 Warm-up # 7 11/19/08 Graph the 2 inequalities on one coordinate plane. 1 2 y< x–3 y -x + 2 Warm-up # 8 11/20/08 Solve the word problem. The sum of the digits of a two digit number is 11. The original number is 1 less than fifteen times the tens digit. Find the number. Warm-up #9 11/21/08 Solve the word problem. Gayle is 6 times older that Fred. In 2 years, Gayle will be 5 times older that Fred. How old are they both now? Warm-up #10 11/24/08 Mark has $2.40 in quarters and nickels. If he has 16 coins all together, how many of each does he have? No warm-up 11/25/08 and 11/26/08 Happy Thanksgiving Warm-up #11 12/4/08 Solve by substitution or elimination. x – 4y = 6 y = -6 – 2x 2x + y = 5 3x + 2y = 4 Warm-up #12 12/8/08 State the dimensions. [3 1 4 6] -1 4 0 1 2 -1 Warm-up #13 12/9/08 Solve. 1. 1 3 4 2 5 8 2. 5 2 0 2 1 6 1 3. 1 0 0 1 + 1 1 1 3 3 3 1 3 4 2 5 8 Warm-up #14 12/10/08 1 0 2 A 5 3 1 1 4 0 2 B 1 1 C 7 0 1 Use matrix multiplication to solve. 1. AC 2. AB 3. CB No warm-up on 12/11/08 and 12/12/08 Warm-up #15 12/15/08 Describe the transformation from f(x) = x2 to the following equation. 1. f(x) = x2 + 1 2. f(x) = (x – 3)2 + 4 Warm-up #16 12/16/08 Factor the following quadratic equation. 1. x2 + 3x + 2 2. x2 + x - 6 Warm-up #17 12/17/08 Factor the following quadratic equations. 1. 4x2 – 5x - 6 2. 2x2 - 11x + 9 Warm-up #18 12/18/08 Last warm-up until 1/06/09 Describe the transformation from f(x) = x2 to the one below. 1. g(x) = (x – 4)2 -5 2. h(x) = (x + 3)2 Warm-up #19 1/06/09 Simplify. 1. (4x – 2)2 2. (2x – 1)(5x + 7) Factor. 3. 3x2 + 8x – 35 4. 5x2 – 10x Warm-up #20 1/07/09 Write in simple radical form. 1. 24 2. 2 63 3. 25 x 3 y 4 ______________________________________ Warm-up #21 1/08/09 Solve by completing the square. y2 + 8y = -15 Warm-ups due on 1/16/09. You need 25. Warm-up #22 1/09/09 Solve by completing the square. x2 + 18x + 41 = 0 Warm-up #23 1/12/09 Solve by using the quadratic formula. x2 – 14x + 24 = 0 Warm-up #24 1/13/09 Solve using the quadratic formula. 3x2 – 10x – 8 = 0 Warm-up #25 1/14/09 Find the discriminant and determine the number of real solutions. 1. -2x2 + 5x – 3 = 0 2. 6x2 – 3x + 4 = 0 Warm-ups due tomorrow. You need 25. Warm-up #26 1/15/09 Solve using the quadratic equation. 3x2 + 2x = -2