7.05 Systems of Equations and Inequalities Unit Exam

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Question 1
What is the correct matrix for the inventory of flats in sizes 10 and 12.
BootsFlatsSneakers BlueGrayBlueGrayBlueGrayShoes Size 103591014Shoes Size 12202740
2 points
Question 2
Evaluate 2 points
Question 3
Evaluate Not possible 2 points
Question 4
Matrix A has dimensions 3 x 2. Matrix B has dimensions 3 x 2. A x B will have dimensions 3 x 2. TRUE FALSE 2 points
Question 5
Evaluate 2 points
Question 6
Evaluate Not possible 2 points
Question 7
Find the determinant of 0 -8 8 10 2 points
Question 8
Find the determinant of 0 6 -10 -5 2 points
Question 9
If the graph of two linear equations cross at exactly one point they are called independent.
TRUE
FALSE
2 points
Question 10
The following system of equations has a solution. True False 2 points
Question 11
What is the solution to this system of equations? (-4, 4) (4, -4) (2, 4) (4, 2) 2 points
Question 12
Solve by the substitution method.y = 2x – 4 7x – 5y = 14
Question 13
Solve by the substitution method.4x + 3y = 13 x + y = 4
Question 14
Solve by the elimination method.2x + 3y = 18 5x – y = 11
Question 15
Solve by the elimination methods.9x + 2y = 2 21x + 6y = 4
Question 16
Solve using matrices.7x + 5y = 14 4x + 3y = 9
(7, -3)
(-3, 7)
(3, -7)
(7, 3)
2 points
Question 17
Solve using matrices.x – 5y = -5 -4x – 2y = 20 No solution (-5, 0) (0, 1) (5, -2) 2 points
Question 18
One number is 7 more than another number. The sum of the numbers is 63. What are the numbers? 10 and 7 30 and 37 28 and 35 54 and 9 2 points
Question 19
Which of the following is NOT a solution to the system of inequalities? (2, 3) (1, 3) (0, 3) (0, 4) 2 points
Question 20
What is the system of inequalities associated with the following graph? x + y > 22x – y > 1 x + y < 22x – y 22x – y < 1 x + y 1 2 points
Question 21
Solve using matrices.3x – 2y + z = -5 -2x + 3y – 3z = 123x – 2y – 2z = 4 (1, 0, -3) (1, -3, 0) (0, 1, -3) (0, -3, 1) 2 points
Question 22
Solve using matrices.3x – y = -1 2x – y + z = -6x + 4y – z = 9 (0, 1, -5) (2, 7, -3) (1, 4, -4) (0, 1, 5) 2 points
Question 23
The
largest angle in a triangle is equal to the sum of the two other
angles. The middle angle is twice the measure of the smallest angle.
What is the measure of each angle? 32°, 64°, 90° 30°, 60°, 80° 30°, 60°, 90° 30°, 60°, 100° 2 points
Question 24
Evaluate
Question 25
Evaluate
Question 26
If matrix A has dimensions 4 x 1 and matrix B has dimensions 1 x 5, can matrix A and matrix B be multiplied?
yes
no
2 points
Question 27
If matrix A has dimensions 2 x 5 and matrix B has dimensions 5 x 5, can matrix A and matrix B be multiplied?
yes
no
2 points
Question 28
Evaluate
Question 29
Evaluate
Question 30
Find the determinant of
Question 31
Find the determinant of
Question 32
Solve using the substitution method.x – 2y = 5 2x – 4y = 1
Question 33
Solve by the substitution method.y – 3x = 5 y + x = 3
Question 34
Solve using the elimination method.x – 3y = -17 -x + 8y = 52
Question 35
Solve using the elimination method.3x + 2y = 7 5x – 2y = 1
Question 36
Solve using matrices.4x + 5y = 40 x – y = 1
Question 37
Solve using matrices.3x + 5y = -4 x + 2y = -2
Question 38
Find the value of two numbers if their sum is 12 and their difference is 4.
Question 39
What is the system of inequalities associated with the following graph?
3x + y ≥ -3x + 2y ≤ 4
-3x – y ≥ -3x + 2y ≤ 4
3x + y ≥ -3x – 2y ≥ 4
3x – y ≤ 3x – 2y ≥ 4
2 points
Question 40
What is the system of inequalities associated with the following graph? –x – y ≤ -3x + y ≥ 3 x + y ≥ -3x + y ≤3 x + y ≥ -3x + y ≥ 3 x + y ≥ -3x – y ≤ 3 2 points
Question 41
Solve using matrices.x – 3y + z = -9 x + y – 3z = -53x – y + z = 11
Question 42
Which
matrix represents the image of the triangle with vertices at (-2, 0),
(1, 5), and (4, -8) when reflected over the line, y = -x?

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