70 Algebra 2 Questıons

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Mathematics

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QUESTION 1

  1. Which of the following is the correct matrix representation of the children movie ticket sales for all three days?



    Ticket Sales for Thursday
    Children Adults

    Ticket Sales for Friday
    Children Adults

    Ticket Sales for Saturday
    Children Adults

    Regular
    257
    183
    355
    402
    398
    423

    Matinee
    135
    168
    242
    311
    376
    386

2 points

QUESTION 2

  1. What is the correct matrix for the inventory of flats in sizes 10 and 12.
    Boots
    Blue Gray
    Flats
    Blue Gray
    Sneakers
    Blue Gray
    Shoes Size 103 59 101 4
    Shoes Size 122 02 74 0

2 points

QUESTION 3

  1. Evaluate 542675.GIF

2 points

QUESTION 4

  1. If B = Imported Asset
    find -3B.

2 points

QUESTION 5

  1. Evaluate 147174.GIF

2 points

QUESTION 6

  1. Matrix A has dimensions 5 x 4. Matrix B has dimensions 4 x 3. These two matrices can be multiplied.

2 points

QUESTION 7

  1. Matrix A has dimensions 3 x 2. Matrix B has dimensions 3 x 2. A x B will have dimensions 3 x 2.

2 points

QUESTION 8

  1. Evaluate 145191.GIF

2 points

QUESTION 9

  1. Evaluate 147110.GIF

2 points

QUESTION 10

  1. Evaluate 144959.GIF

2 points

QUESTION 11

  1. Evaluate 542563.GIF

2 points

QUESTION 12

  1. Does the matrix 542567.GIF have an inverse?

2 points

QUESTION 13

  1. Does the matrix 145376.GIF have an inverse?

2 points

QUESTION 14

  1. Find the determinant of 147096.GIF

2 points

QUESTION 15

  1. Find the determinant of 145280.GIF

2 points

QUESTION 16

  1. The following system of equations is consistent.Imported Asset

2 points

QUESTION 17

  1. The following system of equations is inconsistent.Imported Asset

2 points

QUESTION 18

  1. Does the following system have a solution?Imported Asset

2 points

QUESTION 19

  1. Does the following system have a solution?Imported Asset

2 points

QUESTION 20

  1. What is the approximate solution to the system of equations graphed below?Imported Asset

2 points

QUESTION 21

  1. What is the approximate solution to the system of equations graphed below?Imported Asset

2 points

QUESTION 22

  1. What is the approximate solution of the following system of equations?Imported Asset

2 points

QUESTION 23

  1. Solve 4x + 3y = 13 x + y = 4by the substitution method.

2 points

QUESTION 24

  1. Solve the following system of equations by using the substitution method.
    x = 4 – 2y
    4x + 8y = 20

2 points

QUESTION 25

  1. Solve the following system of equations by using the substitution method.
    x = y + 3
    2x + y = 9

2 points

QUESTION 26

  1. Solve y = 3x – 122x – 3y = -13by the substitution method.

2 points

QUESTION 27

  1. What would be the first step to solve this system of equations by the Substitution Method?
    3x + 4y = -1
    x + 3y = 3

2 points

QUESTION 28

  1. What would be the first step to solve this system of equations by the Substitution Method?
    x + y = -1
    6x – 2y = 18

2 points

QUESTION 29

  1. What would be the first step to solve this system of equations by the Substitution Method?
    10x – 2y = 8
    4x – 10y = -6

2 points

QUESTION 30

  1. Solve 9x + 2y = 2
    21x + 6y = 4
    by the elimination methods.

2 points

QUESTION 31

  1. Solve the following system of equations by using the elimination method.
    x + y = 4
    2x + 3y = 9

2 points

QUESTION 32

  1. Solve the following system of equations by using the elimination method.
    2x – 4y = 8
    3x + 8y = -2

2 points

QUESTION 33

  1. Solve the following system of equations by using the elimination method.
    2x + 6y = 4
    3x – 2y = -16

2 points

QUESTION 34

  1. What would be the first step to solve this system of equations by the Elimination Method?4y = 28
    3x – 2y = -14

2 points

QUESTION 35

  1. What would be the first step to solve this system of equations by the Elimination Method?
    10x – 2y = 8
    4x – 10y = -6

2 points

QUESTION 36

  1. What would be the first step to solve this system of equations by the Elimination Method?
    3x + 4y = -1
    x + 3y = 3

2 points

QUESTION 37

  1. Solve the following system of equations using matrices.
    y = 2x – 2
    3x – 6y = -6

2 points

QUESTION 38

  1. Solve 7x + 5y = 14
    4x + 3y = 9
    using matrices.

2 points

QUESTION 39

  1. Solve
    8x + 7y = 5
    4x – 9y = 65
    using matrices.

2 points

QUESTION 40

  1. The degree measure of one of two complementary angles is 30 less than twice that of the other. What are the degree measures of the angles? (Remember that complimentary angles add to be 90 degrees)

2 points

QUESTION 41

  1. A collection of nickels and dimes is a total value of $2.00 and contains 25 coins. How many of each coin is in the collection?

2 points

QUESTION 42

  1. Which of the following is a solution to the following system of inequalities?Imported Asset

2 points

QUESTION 43

  1. Which of the following is NOT a solution to the system of inequalities?Imported Asset

2 points

QUESTION 44

  1. What is the system of inequalities associated with the following graph?Imported Asset
    x + y > 2
    4x + y > -1
    x + y = 2
    4x + y = -1
    x + y < 2
    4x + y < -1
    x + y = 2
    4x + y = -1

2 points

QUESTION 45

  1. What is the system of inequalities associated with the following graph?Imported Asset
    2x – y > -3
    x > 1
    2x – y < -3
    x > 1
    2x – y > -3
    x = -3
    2x – y > -3
    x = 1

2 points

QUESTION 46

  1. Solve 3x – y + 2z = 9
    x – 2y – 3z = -1
    2x – 3y + z = 10
    using matrices.

2 points

QUESTION 47

  1. Solve 4x = 5y + 10
    z = y – x
    3x + 4y = 20 + z

2 points

QUESTION 48

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

2 points

QUESTION 49

  1. The sum of three numbers is 11. If you triple the second number and add the third number, the result will be equal to the first number. The first number is two times the second number. What are the numbers?

2 points

QUESTION 50

  1. 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?

2 points

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QUESTION 1

  1. What is the radius of the following circle?Imported Asset

2 points

QUESTION 2

  1. What is the equation of the following circle?Imported Asset

2 points

QUESTION 3

  1. What is the center of the following circle?Imported Asset

2 points

QUESTION 4

  1. What is the radius of the following circle?Imported Asset

2 points

QUESTION 5

  1. What is the radius of the following circle?Imported Asset

2 points

QUESTION 6

  1. Write the equation of a circle with a center at (0, 3) and a radius of 1.

2 points

QUESTION 7

  1. Write the equation of a circle with a center at (–5, –5) and a diameter of 13.

2 points

QUESTION 8

  1. Write the equation of a circle with a center at (–2, –5) and a radius of 6.5.

2 points

QUESTION 9

  1. Write the equation of a circle with a center at (0, 0) and a radius of 2.

2 points

QUESTION 10

  1. What is the point of symmetry for the circle (x – 5)2 + (y + 4)2 = 25?

2 points

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QUESTION 1

  1. Find the mean of the following set of data. Round your answer to two decimal places.
    23, 50, 49, 48, 49, 32, 37, 40, 41, 42, 41, 41, 43

2 points

QUESTION 2

  1. Find the mean of the following set of data. Round your answer to two decimal places.
    $12.50, $13.23, $11.20, $14.50, $12.50, $13.23, $15.60, $15.75

2 points

QUESTION 3

  1. Find the median of the following set of data.
    $12.50, $13.23, $11.20, $14.50, $12.50, $13.23, $15.60, $15.75

2 points

QUESTION 4

  1. Which measures of central tendency are the most representative of the data set?
    23, 50, 49, 48, 49, 32, 37, 40, 41, 42, 41, 41, 43

2 points

QUESTION 5

  1. What is the variance of the following data? If necessary, round your answer to two decimal places.
    6, 7, 10, 11, 11, 13, 16, 18, 25

    34.90

2 points

QUESTION 6

  1. What is the variance of the following data? If necessary, round your answer to two decimal places.
    13, 11, 4, 5, 6, 9, 10, 12, 15, 16

2 points

QUESTION 7

  1. What is the variance of the following data? If necessary, round your answer to two decimal places.
    23, 50, 49, 48, 49, 32, 37, 40, 41, 42, 41, 41, 43

2 points

QUESTION 8

  1. What is the standard deviation of the following data? If necessary, round your answer to two decimal places.
    6, 7, 10, 11, 11, 13, 16, 18, 25

2 points

QUESTION 9

  1. Match the following definition to the term.
    Procedure for selecting sample elements from a total set of observations.

2 points

QUESTION 10

  1. What sampling method was used in the following scenario?
    From 1000 students, half being boys and half being girls, 100 names were pulled out of a hat to complete a survey for the school.

2 points

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Explanation & Answer

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QUESTION 1
Which of the following is the correct matrix representation of the children movie ticket sales for all
three days?
Ticket Sales for ThursdayTicket Sales for FridayTicket Sales for Saturday
Children
Adults
Children
Adults
Children
Adults
Regular
Matinee

257

183

355

402

398

423

135

168

242

311

376

386

Answer:
The information of The children movie ticket sales for all three day could be place into a matrix. To
organize the data we would choose to list one category as the rows and the other category as the
columns. In this case this matrix is arranged so that the rows are comprised ticket sales for three
day and the columns are represented by Regular and Matinee. Then we have the final answer is :

Final answ er

2 points

QUESTION 2
1. What is the correct matrix for the inventory of flats in sizes 10 and 12.
Boots
Flats
Sneakers
Blue GrayBlue GrayBlue Gray
Shoes Size 10 3
5 9
10 1
4
Shoes Size 12 2
0 2
7 4
0

Answer:
The information of inventory of flats could br place into a matrix. To organize the data we would
choose to list one category as the rows and the other category as the columns. In this case this
matrix is arranged so that the rows are comprised Flats and the columns are represented by Shoes
Size . Then we have the final answer is :

Final answ er

2 points

QUESTION 3

1. Evaluate

Answer:
We notice the rules for Matrix addition: The matrices are assumed to all have the same dimensions
The first matrix has two rows and three columns (2x3). The second matrix have three rows and two
columns (3x2) and we can say the two matrices are haven’t the same dimensions. That mean the
sum of the two matrices are not possible

Final answ er

NOT POSSIBLE

2 points

QUESTION 4

1. If B =
find -3B.

Answer:
The term scalar multiplication refers to the product of a real number and a matrix. In scalar
multiplication, each entry in the matrix is multiplied by the given scalar
So that -3B=

Final answ er

2 points

QUESTION 5

1. Evaluate

Answer:
We notice the rules for Matrix addition: The matrices are assumed to all have the same dimensions
The first matrix has one rows and three columns (1x3). The second matrix have three rows and one
columns (3x1) and we can say the two matrices are haven’t the same dimensions. That mean the
sum of the two matrices are not possible

Final answ er

NOT POSSIBLE

2 points

QUESTION 6
1. Matrix A has dimensions 5 x 4. Matrix B has dimensions 4 x 3. These two matrices can be
multiplied.

Answer:
In order for matrix multiplication to be defined, the number of columns in the first matrix must be
equal to the number of rows in the second matrix
The number of columns in the first matrix equal 4, the number of rows in the second matrix equal
4 so that these two matrices can be multiplied

Final answ er

TRUE
FALSE

2 points

QUESTION 7
1. Matrix A has dimensions 3 x 2. Matrix B has dimensions 3 x 2. A x B will have dimensions
3 x 2.

Answer:
In order for matrix multiplication to be defined, the number of columns in the first matrix must be
equal to the number of rows in the second matrix
The number of columns in the first matrix equal 2, the number of rows in the second matrix equal
3 so that these two matrices can be multiplied. That mean A x B will have dimensions 3 x 2 is False

Final answ er

TRUE
FALSE

2 points

QUESTION 8

1. Evaluate

Answer:
To multiply two matrices. We multiply and add the elements as follows. We work across the 1st
row of the first matrix, multiplying down the 1st column of the second matrix, element by element.
We add the resulting products. Our answer goes in position a11 (top left) of the answer matrix

Final answ er

2 points

QUESTION 9

1. Evaluate

Answer:
In order for matrix multiplication to be defined, the number of columns in the first matrix must be
equal to the number of rows in the second matrix
The number of columns in the first matrix equal 2, the number of rows in the second matrix equal
3 so that these two matrices can be multiplied
Final answ er

NOT POSSIBLE

2 points

QUESTION 10

Evaluate

Answer:
To multiply two matrices. We multiply and add the elements as follows. We work across the 1st
row of the first matrix, multiplying down the 1st column of the second matrix, element by element.
We add the resulting products. Our answer goes in position a11 (top left) of the answer matrix

Final answ er

2 points

QUESTION 11

1. Evaluate

Answer

As a result of multiplication we will g...


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