Download Name Block ______ Date 2-14-13 Warm up – A

Name ___________________________________ Block _________
Date 2-14-13
Warm up – A-REI.6 , Label each pair of equations as A. Intersecting, B Parallel or C Collinear
Write the number of solutions there will be for this system of equations
1. y – 2x = 9
2. y = 4x + 3
3. y = 3x – 4
4. 3y = x + 9
5. 2y = 6x + 4
y = 2x + 3 ____
-4x + y = 3 ____
2y =10x + 4 ____
y = -3x + 2
y = 3x + 1 ____
# solutions ______
# solutions ______
# solutions ______
# solutions ______
# solutions ______
Practice A – A-REI.6 Define the variables, write the system of equations, and then solve.
1. . The difference of two
numbers is 19 and their sum is
55. Find the numbers?
2. Drinks cost $1 and burgers cost
$2 each and their bill was $14. The
number of drinks was 4 less than the
number of burgers. What is the
price of each?
3. The perimeter of a rectangle
is 100 m. The length is 10m
longer than the width. What was
the length and width?
Practice B – A-REI.6 Solve the systems of equations by graphing. Write the solution to the system.
1. y = 3x
y = –x – 4
(____,____)
2. y =2/3x – 4
y = –2x + 4
(____,____)
Practice C – A-REI.12
1. y > 2x –3
Is the pt (2, 1) in the
Solution? Y N
3. y = 1/2x + 6
y = -1/2x + 2
4. y = 2x + 5
y = –2x +1
(____,____)
(____,____)
5.
y = 1/2x + 3
y = 1/2x – 4
(____,____)
Graph the solutions of the system of inequalities. Prove it algebraically
2. y < – 3x + 2
3. y  1/3x –3
4. y  –1/2x – 4
Is the pt (-1, 1) in the
Solution? Y N
Is the pt (2, -1) in the
Solution? Y N
Is the pt (-4, 2) in the
Solution? Y N
Practice D – A-REI.12
your work
1. f(x) > 2x –3
(2, 4)
Practice E – A-REI. 6
1. y = -3x + 6
y = 2x – 4
Determine whether or not the point is in the solution. Prove it algebraically, show all
2. f(x) < – 3x + 2
3. f(x)  1/3x –3
(1, 6)
(6, 0)
( 8, 4)
Solve the systems of equations, Prove the solutions are correct, show all the work
2. 3x – 7y = 6
3.
y=6
4. 3x + 2y = 6
2x + 7y = 4
6x + 5y = 42
-3x +2y = 18
(2, 0)
5. 3x – 3y =9
3x – 6y = 9
(2, 0)
6. x = -2y
6x + 8y = -2
7.
(3, 0)
9. 2x + 3y = 6
–2x – 3y = -6
(-1, .5)
10. 3x – 2y = 12
x = 2y
(1.5, 4)
11. y = x + 6
y = 2x
No solution
4. f(x)  –1/2x – 4
(6, 3)
(2, 6)
4x – y = 2
4x + 3y = 18
(6, 12)
(-2, 6)
8. 2x – 2y = 12
2x + 2y = 10
(5.5, -.5)
12. y = 4x + 7
y = –x + 2
(-1, 3)
Practice F – G-GPE.7 Find the distance between the two points, d = (x  x)2  (y  y)2 , show your work
1. (4, 5), ( 2, -4)
2. (3, -4) , (6, 5)
3. ( 4, 5) (6, 3)
4. (3, -5), (4, 4)
Practice G – G-GPE.6 Find the mid point
1. (4, 5), ( 2, -4)
2. (3, -4) , (6, 5)
3. ( 4, 5) (6, 3)
4. (3, -5), (4, 4)