Graphing Systems Equations & Inequalities
Solving Systems Algebraically
Basic Matrix Operations
Multiply Matrices
Determinants & Inverse Matrices
100
Find the solution by graphing. [y=5x+2] & [y=3x]
(-1 , 3)
100
Solve the System. [3x - 4y = -10] & [6x + 3y = -42]
(-6, -2)
100
A + B given: A=R1 [3 0], R2 [5 -1] and B=R1 [-1 4], R2 [2 0]
R1 [2 4]
R2 [7 -1]
100
Is the following product [A][B] defined? If yes what would the dimensions of [A][B] be? [A]: 3 x 4, [B]: 4 x 1
Yes. 3 x 1
100
Find the determinant of A given A=R1 [5 4], R2 [3 1]
det A = -7
200
Find the solution by graphing. [y = -1] & [3x + y = 5]
(2, -1)
200
Solve the system. [2x+5y=14] & [3x-2y=-36]
(-8 , 6)
200
A - B given: A=R1 [7 4], R2 [0 -2] and B=R1 [-2 5], R2 [3 -10]
R1 [9 -1]
R2 [-3 8]
200
Is the following product [A][B] defined? If yes what would the dimensions of [A][B] be? [A]: 2 x 1, [B]: 2 x 2
No.
200
Find the determinant of B given: B=R1 [2 -1 -3], R2 [4 1 0], R3 [3 -4 -2]
det B = 45
300
Find the solution to the inequalities. [y > -2x - 5] & [y <= x + 3]
Shaded to to right quadrant
300
Solve the system. [3x+y=15] & [-x+2y=-29]
(59/7 , -72/7)
300
-2A where A=R1 [4, -1] & R2 [2, 7]
R1 [-8 2]
R2 [-4 -14]
300
What is AB. Given A=R1 [3, -1] and B=R1 [5] & R2 [7]
[8]
300
BONUS: Complete the pattern.
J,F,M,__,M,J,J,A,__,O,__,D
A-April, S-September, N-November
400
Find the solution to the inequalities. [y >= (-2/3)x + 4] & [2x + 3y < 6]
No Solution. Parallel Lines shading opposite directions.
400
Solve the system using any method. [x+y+z=3] & [4x+4y+4z=7] & [3x-y+2z=5]
No Solution
400
3*A + B. When A=R1 [1, 5, 7] & R2 [-1, -5, 0] and B=R1 [2, -4, -9]
Undefined. 3A is 2x3 and B is 1x3
400
Find AB given the following:
A = R1 [1 3 0],R2 [2, 12, -4] and B=R1 [9 1], R2=[4 -3], R3 [-2 4]
R1 [21 -8]
R2 [74 - 50]
400
Use Cramer's Rule to solve: [9x + 4y = -6] & [3x - 5y = -21]
(-2 , 3)
500
BONUS: What are the names of the 2 famous droids in the Star Wars Saga.
R2-D2 & C3PO
500
Solve the system using any method. [4x+2y+3z=1] & [2x-3y+5z=-14] & [6x-y+4z=-1]
(2, 1, -3)
500
-0.5A - B given: A=R1 [4 6 8], R2 [-3 2 -5] and B=R1 [1 -2 3], R2 [-4 3-5]
R1 [-3 -1 -7]
R2 [5.5 -4 7.5]
500
Solve for x and y if AX=B:
A=R1 [4 x], R2 [-2 y]. X=R1 [9 -2], R2 [2 1], & B=R1 [50 -1], R2[30 28]
x = 7 and y = 24
500
Find the inverse of C given: C=R1 [3 8], R2 [2 5]
A-1 = R1 [-5 8], R2 [2 -3]
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