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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
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