# 70 Algebra 2 Questıons

User Generated

orengohqnx

Mathematics

## Description

### 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 ThursdayChildren Adults Ticket Sales for FridayChildren Adults Ticket Sales for SaturdayChildren 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.
 BootsBlue Gray FlatsBlue Gray SneakersBlue Gray Shoes Size 10 3 5 9 10 1 4 Shoes Size 12 2 0 2 7 4 0

2 points

### QUESTION 3

1. Evaluate
 Not possible

2 points

1. If B =
find -3B.

2 points

### QUESTION 5

1. Evaluate
 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.
 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.
 TRUE FALSE

2 points

1. Evaluate

2 points

### QUESTION 9

1. Evaluate
 Not possible

2 points

1. Evaluate

2 points

1. Evaluate

2 points

### QUESTION 12

1. Does the matrix have an inverse?
 yes no

2 points

### QUESTION 13

1. Does the matrix have an inverse?
 Yes No

2 points

### QUESTION 14

1. Find the determinant of
 0 1 -4 8

2 points

### QUESTION 15

1. Find the determinant of
 -10 6 10 18

2 points

### QUESTION 16

1. The following system of equations is consistent.
 True False

2 points

### QUESTION 17

1. The following system of equations is inconsistent.
 True False

2 points

### QUESTION 18

1. Does the following system have a solution?
 yes no

2 points

### QUESTION 19

1. Does the following system have a solution?
 yes no

2 points

### QUESTION 20

1. What is the approximate solution to the system of equations graphed below?
 (-2.6, 3.3) (-3.3, 3,3) (3.3, -2.6) (3.3, -3.3)

2 points

### QUESTION 21

1. What is the approximate solution to the system of equations graphed below?
 (1.1, 1.5) (1.5, 1.1) (0, -1) (2, 0)

2 points

### QUESTION 22

1. What is the approximate solution of the following system of equations?
 (-.7, -1.7) (.7, 1.7) (.7, -1.7) (-.7, 1.7)

2 points

### QUESTION 23

1. Solve 4x + 3y = 13 x + y = 4by the substitution method.
 (3, 1) (0, 4) (3, 0) (1, 3)

2 points

### QUESTION 24

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

 Consistent (4, 0) (0, 2) Inconsistent

2 points

### QUESTION 25

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

 (4, 1) (5, 2) (3, -2) Inconsistent

2 points

### QUESTION 26

1. Solve y = 3x – 122x – 3y = -13by the substitution method.
 (2, -6) (7, 9) (0, -12) (5, 3)

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

 Solve the second equation for x. Divide the first equation by 4. Add the two equations together. Multiply the second equation by -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

 Multiply the first equation by 2. Solve the first equation for x. Multiply the second equation by 3. Add the two equations together.

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

 Add the two equations together. Solve the first equation for y. Multiply the first equation by -5 Multiply the second equation by 5

2 points

### QUESTION 30

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

 (3, -2) (-3, 2)

2 points

### QUESTION 31

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

 (3, 1) (-2, 1) (3, -1) Inconsistent

2 points

### QUESTION 32

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

 (1, 3) (4, 5) (2, -1) (-2, -1)

2 points

### QUESTION 33

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

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

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

 Multiply the second equation by 2. Solve the first equation for y. Solve the second equation for x Add the two equations together.

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

 Add the two equations together. Solve the first equation for y. Multiply the first equation by -5 Solve the second equation for x.

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

 Solve the second equation for x. Divide the first equation by 4. Add the two equations together. Multiply the second equation by -3.

2 points

### QUESTION 37

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

 (1, 0) (3, 4) (-2, -2) (2, 2)

2 points

### QUESTION 38

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

 (7, -3) (-3, 7) (3, -7) (7, 3)

2 points

### QUESTION 39

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

 (5, -5) (5, 65) (7, -7) (65, 5)

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)
 45 degrees and 45 degrees 30 degrees and 60 degrees 27 degrees and 63 degrees 40 degrees and 50 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?
 9 dimes and 16 nickels 11 dimes and 14 nickels 13 dimes and 12 nickels 15 dimes and 10 nickels

2 points

### QUESTION 42

1. Which of the following is a solution to the following system of inequalities?
 (1, 1) (-4, 0) (3, -3) (0, 5)

2 points

### QUESTION 43

1. Which of the following is NOT a solution to the system of inequalities?
 (2, 3) (1, 3) (0, 3) (0, 4)

2 points

### QUESTION 44

1. What is the system of inequalities associated with the following graph?
 x + y > 24x + y > -1 x + y = 24x + y = -1 x + y < 24x + y < -1 x + y = 24x + y = -1

2 points

### QUESTION 45

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

2 points

### QUESTION 46

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

 (9, -1, 10) (1, 2, 2) (1, 2, -2) (1, -2, 2)

2 points

### QUESTION 47

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

 (5, 2, 3) (5, 2, -3) (2, 5, -3) (2, 5, 3)

2 points

### QUESTION 48

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

 (1, 0, -3) (1, -3, 0) (0, 1, -3) (0, -3, 1)

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?
 1st number = 9, 2nd number = 6, 3rd number = -4 1st number = 10, 2nd number = 5, 3rd number = 4 1st number = 10, 2nd number = 5, 3rd number = 14 1st number = 10, 2nd number = 5, 3rd number = -4

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?
 32°, 64°, 90° 30°, 60°, 80° 30°, 60°, 90° 30°, 60°, 101°

2 points

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### QUESTION 1

1. What is the radius of the following circle?
 –1 1 –2 2

2 points

### QUESTION 2

1. What is the equation of the following circle?
 (x + 1)2 + (y + 1)2 = 36 (x + 1)2 – (y + 1)2 = 36 (x – 1)2 + (y – 1)2 = 36 (x – 1)2 – (y – 1)2 = 36

2 points

### QUESTION 3

1. What is the center of the following circle?
 (–1, –4) (1, 4) (4, 1) (–4, –1)

2 points

### QUESTION 4

1. What is the radius of the following circle?
 25 16 10 5

2 points

### QUESTION 5

1. What is the radius of the following circle?
 8 10 –5 5

2 points

### QUESTION 6

1. Write the equation of a circle with a center at (0, 3) and a radius of 1.
 x2 + (y – 3)2 = 1 x2 + (y – 3)2 = 2 x2 + (y + 3)2 = 1 x2 + (y + 3)2 = 2

2 points

### QUESTION 7

1. Write the equation of a circle with a center at (–5, –5) and a diameter of 13.
 (x – 5)2 + (y – 5)2 = 42.25 (x + 5)2 + (y + 5)2 = 169 (x + 5)2 + (y + 5)2 = 13 (x + 5)2 + (y + 5)2 = 42.25

2 points

### QUESTION 8

1. Write the equation of a circle with a center at (–2, –5) and a radius of 6.5.
 (x + 2)2 + (y + 5)2 = 6.5 (x – 2)2 + (y – 5)2 = 42.25 (x – 2)2 + (y – 5)2 = 6.5 (x + 2)2 + (y + 5)2 = 42.25

2 points

### QUESTION 9

1. Write the equation of a circle with a center at (0, 0) and a radius of 2.
 x2 + y2 = 2 x2 + y2 = 4 x2 – y2 = 4 x2 – y2 = 2

2 points

### QUESTION 10

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

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

 41.23 44.67 48.72 49.23

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

 \$14.32 \$13.56 \$12.06 \$11.60

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

 \$11.20 \$15.60 \$12.50 \$13.23

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

 mean, mode and median mean, mode range, median mean, median

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

 31.11 32.56 33.89 34.9

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

 16.34 17.15 15.29 14.36

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

 62.83 43.52 71.35 52.64

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

 5.48 5.58 5.68 5.78

2 points

### QUESTION 9

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

 population sample parameter sampling method

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.

 Simple Random Sampling Systematic Sampling

2 points

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## Explanation & Answer

This is my answer for your question, Please give me your question if you don't understand my explanation

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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