This presentation is intended to help the education students by giving an idea on how they will use technology in education specially in teaching mathematics.
This presentation is intended to help the education students by giving an idea on how they will use technology in education specially in teaching mathematics.
What is the distance between the points B and C Experience Tradition/tutorial...pinck3124
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www.tutorialoutlet.com
This paper is part of an examination of the College counting towards the award of a degree.
Examinations are governed by the College Regulations under the authority of the Academic Board.
3rd 4th Grade Introduction to Algebra. This sheet would give yours kids a good start to understand what is equation and how to solve one with two variables
What is the distance between the points B and C Experience Tradition/tutorial...pinck3124
FOR MORE CLASSES VISIT
www.tutorialoutlet.com
This paper is part of an examination of the College counting towards the award of a degree.
Examinations are governed by the College Regulations under the authority of the Academic Board.
3rd 4th Grade Introduction to Algebra. This sheet would give yours kids a good start to understand what is equation and how to solve one with two variables
1 of 402.5 PointsUse Cramer’s Rule to solve the following syst.docxmercysuttle
1 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
x + 2y = 3
3x - 4y = 4
A. {(3, 1/5)}
B. {(5, 1/3)}
C. {(1, 1/2)}
D. {(2, 1/2)}
2 of 40
2.5 Points
Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.
x + y - z = -2
2x - y + z = 5
-x + 2y + 2z = 1
A. {(0, -1, -2)}
B. {(2, 0, 2)}
C. {(1, -1, 2)}
D. {(4, -1, 3)}
3 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
2x = 3y + 2
5x = 51 - 4y
A. {(8, 2)}
B. {(3, -4)}
C. {(2, 5)}
D. {(7, 4)}
4 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
4x - 5y = 17
2x + 3y = 3
A. {(3, -1)}
B. {(2, -1)}
C. {(3, -7)}
D. {(2, 0)}
5 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
4x - 5y - 6z = -1
x - 2y - 5z = -12
2x - y = 7
A. {(2, -3, 4)}
B. {(5, -7, 4)}
C. {(3, -3, 3)}
D. {(1, -3, 5)}
6 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
3x - 4y = 4
2x + 2y = 12
A. {(3, 1)}
B. {(4, 2)}
C. {(5, 1)}
D. {(2, 1)}
Reset Selection
7 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
x + y + z = 0
2x - y + z = -1
-x + 3y - z = -8
A. {(-1, -3, 7)}
B. {(-6, -2, 4)}
C. {(-5, -2, 7)}
D. {(-4, -1, 7)}
8 of 40
2.5 Points
Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.
3x1 + 5x2 - 8x3 + 5x4 = -8
x1 + 2x2 - 3x3 + x4 = -7
2x1 + 3x2 - 7x3 + 3x4 = -11
4x1 + 8x2 - 10x3+ 7x4 = -10
A. {(1, -5, 3, 4)}
B. {(2, -1, 3, 5)}
C. {(1, 2, 3, 3)}
D. {(2, -2, 3, 4)}
9 of 40
2.5 Points
Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.
x + y + z = 4
x - y - z = 0
x - y + z = 2
A. {(3, 1, 0)}
B. {(2, 1, 1)}
C. {(4, 2, 1)}
D. {(2, 1, 0)}
10 of 40
2.5 Points
Solve the system using the inverse that is given for the coefficient matrix.
2x + 6y + 6z = 8
2x + 7y + 6z =10
2x + 7y + 7z = 9
The inverse of:
2
2
2
6
7
7
6
6
7
is
7/2
-1
0
0
1
-1
-3
0
1
A. {(1, 2, -1)}
B. {(2, 1, -1)}
C. {(1, 2, 0)}
D. {(1, 3, -1)}
Reset Selection
11 of 40
2.5 Points
Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.
2w + x - y = 3
w - 3x + 2y = -4
3w + x - 3y + z = 1
w + 2x - 4y - z = -2
A. {(1, 3, 2, 1)}
B. {(1, 4, 3, -1)}
C. {(1, 5, 1, 1)}
D. {(-1, 2, -2, 1)}
12 of 40
2.5 Points
Use Cramer’s Rule to solve the following system.
x + y = 7
x - y = 3
A. {(7, 2)}
B. {(8, -2)}
C. {(5, 2)}
D. {(9, 3)}
13 of 40
2.5 Points
Use Gaussian elimination to find the complete solution to each system.
x1 + 4x2 + 3x3 - 6x4 = 5
x1 + 3x2 + x3 - 4x4 = 3
2x1 + 8x2 + 7x3 - 5x4 = 11
2x1 + 5x2 - 6x4 = 4
A. {(-47t + 4, 12t, 7t + 1, t)}
B. {(-37t + 2, 16t, -7t + 1, t)}
...
Hello,The current answers are incorrect and I need the corrected a.docxjeniihykdevara
Hello,
The current answers are incorrect and I need the corrected answers.
Thanks,
1. Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.
x - 2y + z = 0
y - 3z = -1
2y + 5z = -2
[removed]
A. {(-1, -2, 0)}
[removed]
B. {(-2, -1, 0)}
[removed]
C. {(-5, -3, 0)}
[removed]
D. {(-3, 0, 0)}
2. Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.
2x - y - z = 4
x + y - 5z = -4
x - 2y = 4
[removed]
A. {(2, -1, 1)}
[removed]
B. {(-2, -3, 0)}
[removed]
C. {(3, -1, 2)}
[removed]
D. {(3, -1, 0)}
3. Find the products AB and BA to determine whether B is the multiplicative inverse of A.
A =
0
0
1
1
0
0
0
1
0
B =
0
1
0
0
0
1
1
0
0
[removed]
A. AB = I; BA = I
3
; B = A
[removed]
B. AB = I
3
; BA = I
3
; B = A
-1
[removed]
C. AB = I; AB = I
3
; B = A
-1
[removed]
D. AB = I
3
; BA = I
3
; A = B
-1
4. Use Cramer’s Rule to solve the following system.
2x = 3y + 2
5x = 51 - 4y
[removed]
A. {(8, 2)}
[removed]
B. {(3, -4)}
[removed]
C. {(2, 5)}
[removed]
D. {(7, 4)}
5. Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.
2w + x - y = 3
w - 3x + 2y = -4
3w + x - 3y + z = 1
w + 2x - 4y - z = -2
[removed]
A. {(1, 3, 2, 1)}
[removed]
B. {(1, 4, 3, -1)}
[removed]
C. {(1, 5, 1, 1)}
[removed]
D. {(-1, 2, -2, 1)}
6. Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.
x + 2y = z - 1
x = 4 + y - z
x + y - 3z = -2
[removed]
A. {(3, -1, 0)}
[removed]
B. {(2, -1, 0)}
[removed]
C. {(3, -2, 1)}
[removed]
D. {(2, -1, 1)}
7. Use Gauss-Jordan elimination to solve the system.
-x - y - z = 1
4x + 5y = 0
y - 3z = 0
[removed]
A. {(14, -10, -3)}
[removed]
B. {(10, -2, -6)}
[removed]
C. {(15, -12, -4)}
[removed]
D. {(11, -13, -4)}
8. Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.
w - 2x - y - 3z = -9
w + x - y = 0
3w + 4x + z = 6
2x - 2y + z = 3
[removed]
A. {(-1, 2, 1, 1)}
[removed]
B. {(-2, 2, 0, 1)}
[removed]
C. {(0, 1, 1, 3)}
[removed]
D. {(-1, 2, 1, 1)}
9. Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.
8x + 5y + 11z = 30
-x - 4y + 2z = 3
2x - y + 5z = 12
[removed]
A. {(3 - 3t, 2 + t, t)}
[removed]
B. {(6 - 3t, 2 + t, t)}
[removed]
C. {(5 - 2t, -2 + t, t)}
[removed]
D. {(2 - 1t, -4 + t, t)}
10. Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination.
x + y + z = 4
x - y - z = 0
x - y + z = 2
[removed]
A. {(3, 1, 0)}
[removed]
B. {(2, 1, 1)}
[removed]
C. {(4, 2, 1)}
[remov.
3. 1. replacing the
variable by the given
value
2. performing the
indicated arithmetic
following the order of
operations(GEMDAS)
Evaluation of algebraic expression involves two steps: