Solving Systems by Graphing
and
Graphing Inequalities
Solving Linear Systems in 2 and 3 Variables Algebraically
Adding, Subtracting, and Scaling Matrices
Multiplying Matrices
Finding a Determinant and Inverse Matrices
100
Graph the following equations to find the solution of the linear system: y = 5x + 2 y = 3x
(-1, -3)
100
Solve the linear system using any method: 3x - 4y = -10 6x + 3y = -42
(-6, -2)
100
[ 3 0] + [-1 4] [-5 -1] [ 2 0]
[2 4] [-3 -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; 3x1
100
Find the determinant of the following matrix: [5 4] [3 1]
-7
200
Graph the equations to determine the solution to the linear system of equations: y = -1 3x + y = 5
(2, -1)
200
Solve the linear system using any method: 2x + 5y = 14 3x - 2y = -36
(-8, 6)
200
[ 7 4] [-2 5] [ 0 -2] - [ 3 -10] = [-1 6] [-3 1]
[9 -1] [-3 8] [2 5]
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 the following matrix: [2 -1 -3] [4 1 0] [3 -4 -2]
45
300
Graph the inequalities to show their solutions: y > -2x - 5 y < x + 3
See graph
300
Solve the linear system using any method: 3x + y = 15 -x +2y = -19
(7, -6)
300
[4 -1] -2[1 0] = [2 7]
[-8 2] [-2 0] [-4 -14]
300
[3 -1] x [5] [7]
[8]
300
Find the area of the triangle with the given vertices: A(-6, 1), B(-1, 2), C(2, -6)
21.5
400
Graph the inequalities to show their solutions: y > -(2/3)x + 4 2x + 3y < 6
See graph
400
Solve the linear system using any method: x + y + z = 3 4x + 4y + 4z = 7 3x - y + 2z = 5
no solution
400
[ 2 -1 -3] [1 2] -4 [-7 6 1] + [0 1] [-2 0 -5]
Can't do The matrices have different dimensions
400
[1 3 0] x [ 9 1] [2 12 -4] [ 4 -3] [-2 4]
[21 -8] [74 -50]
400
Use Cramer's rule to solve the following system: 9x + 4y = -6 3x - 5y = -21
(-2, 3)
500
Graph the inequalities to show their solutions: y < 3 y > |x + 4|
See Graph
500
Solve the linear system using any method: 4x + 2y + 3z = 1 2x - 3y + 5z = -14 6x - y + 4z = -1
(2, 1, -3)
500
[-2 5 11] - [-3 1 -5] [ 4 -6 8] [-2 -8 4]
[1 4 16] [6 2 4]
500
Solve for x and y: [ 4 1 3] x [ 9 -2] [ y -4] [-2 x 1] [ 2 1] = [-13 8] [-1 1]
x = 3 y = 35
500
Find the inverse of the matrix: [3 8] [2 5]
[-5 8] [2 -3]
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