Systen of Equations (Graphing, Substiution, Elimination)
System of Inequalities and Linear Equations
Matrices
Determinants and Matrices
Cramers Rule, etc
100
x^2+y^2=12 y=2x^2-5x
What is (-1,3) or (3,2)
100
What are the three possible solutions of a system of equation?
What is none, one, many.
100
Write the augmented matrix 3x-2y+4z=7 x+4y-8z=10 -2x+5y-4z=11
What is 3 -2 4 7 1 4 -8 10 -2 5 -4 11
100
Find the value of x 3X+ -2 1 =2(-1 -4) 3 0 (0 6)
What is 0 -3 -1 4
100
what is the equation to find the x of a given matrix?
Dx/d
200
x+y=15 4x+3y=38
What is (-7,22)
200
what does a = under the greater then or equal to mean when graphing?
solid line
200
What are the three elemntary row operations?
add a multiple of 1 row to another R1+2r2 x row by nonzero by nonzero constand interchange the rows
200
What is the inverse "equation"?
What is 1-(ad-bc)
200
what is the equation to find y of a given matrix set?
dy/d
300
m=4n 3m+2n=28
n=2, m=8
300
Graph this sytem: x^2+y^2<25 x+2y>=5
look at graph
300
perform the operation: 2A+3B A) 3 4 5 B) 5 4 5 8 9 0 5 9 8 3 4 5 2 3 5
21, 20, 25 31,45,24 12,17,25
300
find x (x+5 -1)= (2 -1) (4 6)= (4 3y)
-3
300
expand: 1 3 0 by the minors of the third colum -1 4 2 2 1 0
10
400
x+y=14 x+y=4
y=5, x=9
400
A pet shop sold 23 puppies and kittens one week. They sold more puppies than kittens. how many of each did they sell?
x=17,y=7
400
how do you know if a matrix is in row-echelon form?
first non zero is 1, stair step going down with one, all rows with 0's are in last row
400
Find the determinant 5 2 4 -1
-13
400
find dx, dy, and d 2x-3y=5 -3x=2
Dx=6 Dy=19 D=9
500
x-y^2+3=0 2x^2+y^2-4=0
x=1/2,-1 y=square root(3.5) or square root (2)
500
Solve using Gaussian Elimination: x-2y+3z=1 x+2y-z=13 3x+2y-5z=3
(3,7,4)
500
multiple these two sets of matrices: A) 4 B)1 2 C) 0 2 D) 1 -5 4 1 0 -3 -2 4 -2 0 -6 3 1 AB and CD
-4 0 -12 -10 10 -32 1 -15 6 and not Possible
500
3 -1 0 8 4 2 0 -2 4 find the minor of 3
20
500
Given the foloowing system, find D, Dx, and Dy, ax+by=e cx+dy=f
ab eb ae cd fd cf
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