7.05 Systems of Equations and Inequalities Unit Exam

Question Description

Question 1

What is the correct matrix for the inventory of flats in sizes 10 and 12.

	Boots		Flats		Sneakers
	Blue	Gray	Blue	Gray	Blue	Gray
Shoes Size 10	3	5	9	10	1	4
Shoes Size 12	2	0	2	7	4	0

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 > 2
2x – y > 1

x + y < 2
2x – y < 1

x + y > 2
2x – y < 1

x + y < 2
2x – y > 1

2 points

Question 21

Solve using matrices.3x – 2y + z = -5
-2x + 3y – 3z = 12
3x – 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 = -6
x + 4y – z = 9

(0, 1, -5)

(2, 7, -3)

(1, 4, -4)

(0, 1, 5)

2 points

Question 23

Thelargest angle in a triangle is equal to the sum of the two otherangles. 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 ≥ -3
x + 2y ≤ 4

-3x – y ≥ -3
x + 2y ≤ 4

3x + y ≥ -3
x – 2y ≥ 4

3x – y ≤ 3
x – 2y ≥ 4

2 points

Question 40

What is the system of inequalities associated with the following graph?

–x – y ≤ -3
x + y ≥ 3

x + y ≥ -3
x + y ≤3

x + y ≥ -3
x + y ≥ 3

x + y ≥ -3
x – y ≤ 3

2 points

Question 41

Solve using matrices.x – 3y + z = -9
x + y – 3z = -5
3x – y + z = 11

Question 42

Whichmatrix 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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		x + y > 2 2x – y > 1
		x + y < 2 2x – y < 1
		x + y > 2 2x – y < 1
		x + y < 2 2x – y > 1

		32°, 64°, 90°
		30°, 60°, 80°
		30°, 60°, 90°
		30°, 60°, 100°

		3x + y ≥ -3 x + 2y ≤ 4
		-3x – y ≥ -3 x + 2y ≤ 4
		3x + y ≥ -3 x – 2y ≥ 4
		3x – y ≤ 3 x – 2y ≥ 4

		–x – y ≤ -3 x + y ≥ 3
		x + y ≥ -3 x + y ≤3
		x + y ≥ -3 x + y ≥ 3
		x + y ≥ -3 x – y ≤ 3

		TRUE
		FALSE

		0
		6
		-10
		-5

		TRUE
		FALSE

		(-4, 4)
		(4, -4)
		(2, 4)
		(4, 2)

Question Description

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Question 3

Question 4

Question 5

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Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

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Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

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