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Matrices and Sequences — Test Answers

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What is the product? 3 times the 2 by 2 matrix, row 1, column 1, negative 6 column 2, negative 11 row 2, column 1, negative 14 column 2, negative 9

the 2 by 2 matrix row 1, 18 33 row 2, 42 27

the 2 by 2 matrix, row 1, column 1, negative 18 column 2, negative 33 row 2, column 1, negative 42 column 2, negative 27

the 2 by 2 matrix row 1, 3 8 row 2, 11 6

the 2 by 2 matrix, row 1, column 1, negative 3 column 2, negative 8 row 2, column 1, negative 11 column 2, negative 6

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Which of the following is an arithmetic sequence?

3 fourths comma negative 3 halves comma 3 comma negative 6 comma dot dot dot

negative 3 fourths comma negative 3 fifths comma negative 3 sixths comma negative 3 sevenths comma dot dot dot

negative 7 over 11 comma 6 over 11 comma negative 5 over 11 comma 4 over 11 comma dot dot dot

1 half comma 2 comma 7 halves comma 5 comma dot dot dot

In the matrix, what is the value of t sub 32 ? cap t is equal to the 4 by 3 matrix, row 1, column 1, 2 column 2, 21 column 3, 9 row 2, column 1, 1 column 2, 0 column 3, 5 row 3, column 1, 16 column 2, 8 column 3, 4 row 4, column 1, 0 column 2, 32 column 3, 7

The matrix cap r is equal to the 2 by 1 column matrix 12 4 represents the length of 12 in. and the width of 4 in. of a rectangle. If matrix multiplication is used to double the length and width of the rectangle, which rectangle represents the result of the matrix multiplication?

Image with description A 12 in. by 8 in. rectangle

Image with description A 12 in. by 4 in. rectangle

Image with description A 24 in. by 8 in. rectangle

Image with description A 24 in. by 4 in. rectangle

Which graph represents a geometric sequence?

Image with description On the coordinate plane, the x axis is marked from 0 to 10 with an interval of 1 unit and the y axis is marked from 0 to 100 with an interval of 10 units. The points (0 comma 0), (1 comma 1), (2 comma 4), (3 comma 9), (4 comma 16), (5 comma 25), (6 comma 36), (7 comma 49), (8 comma 64), and (9 comma 81) are plotted on the graph. The points are labeled on the graph with the coordinates.

Image with description On the coordinate plane, the x axis is marked from 0 to 10 with an interval of 1 unit and the y axis is marked from 0 to 100 with an interval of 10 units. The points (0 comma 0), (1 comma 10), (2 comma 20), (3 comma 30), (4 comma 40), (5 comma 50), (6 comma 60), (7 comma 70), (8 comma 80), and (9 comma 90) are plotted on the graph. The points are labeled on the graph with the coordinates.

Image with description On the coordinate plane, the x axis is marked from 0 to 10 with an interval of 1 unit and the y axis is marked from 0 to 100 with an interval of 10 units. The points (0 comma 100), (1 comma 50), and (2 comma 0) are plotted on the graph. The points are labeled on the graph with the coordinates.

Image with description On the coordinate plane, the x axis is marked from 0 to 10 with an interval of 1 unit and the y axis is marked from 0 to 100 with an interval of 10 units. The points (0 comma 100), (1 comma 50), (2 comma 25), (3 comma 12 point 5), and (4 comma 6 point 25) are plotted on the graph. The points are labeled on the graph with the coordinates.

The sum of the series is 10 comma 900 How many numbers, n , are in the series? 19 plus 20 point 5 plus 22 plus 23 point 5 plus dot dot dot plus 181

100

135

109

What is the value of cap c in the matrix equation? the 1 by 3 row matrix column 1 negative 18 column 2 3 column 3 5 minus cap c is equal to the 1 by 3 row matrix column 1 negative 22 column 2 1 column 3 12

the 1 by 3 row matrix column 1 negative 40 column 2 2 column 3 negative 7

the 1 by 3 row matrix 4 2 17

the 1 by 3 row matrix column 1 4 column 2 2 column 3 negative 7

the 1 by 3 row matrix column 1 negative 40 column 2 2 column 3 17

Micah takes a job with a starting salary of 78 dollars comma 000 for the first year. He earns a 4 percent increase each year. To the nearest dollar, how much does Micah make over the first seven years?

718 dollars comma 499

718 dollars comma 710

616 dollars comma 067

567 dollars comma 840

Each column of the matrix cap A is equal to the 2 by 4 matrix, row 1, column 1, 1 column 2, 6 column 3, 6 column 4, 1 row 2, column 1, 1 column 2, 1 column 3, 5 column 4, 5 represents a vertex of a rectangle on the coordinate plane. If Fan scales the rectangle by finding 4 cap A , what are the vertices of the scaled rectangle?

open paren 5 comma 5 close paren comma open paren 10 comma 5 close paren comma open paren 10 comma 9 close paren comma open paren 5 comma 9 close paren

open paren 5 comma 5 close paren comma open paren 6 comma 1 close paren comma open paren 6 comma 5 close paren comma open paren 4 comma 20 close paren

open paren 4 comma 4 close paren comma open paren 24 comma 4 close paren comma open paren 24 comma 20 close paren comma open paren 4 comma 20 close paren

open paren 4 comma 4 close paren comma open paren 6 comma 1 close paren comma open paren 6 comma 5 close paren comma open paren 1 comma 5 close paren

What are the first three terms of a geometric sequence in which A sub 5 is equal to 25 and the common ratio is 5 ?

1 over 25 comma 1 over 125 comma 1 over 625

125 comma 25 comma 5

1 over 25 comma 1 fifth comma 1

25 comma 125 comma 625

The first three terms of a geometric sequence are shown. x plus 3 comma negative 2 x squared minus 6 x comma 4 x cubed plus 12 x squared comma dot dot dot What is the eighth term of the sequence?

128 x to the 8th power plus 384 x to the 7th power

negative 128 x to the 8th power minus 384 x to the 7th power

256 x to the 9th power plus 768 x to the 8th power

negative 256 x to the 9th power minus 768 x to the 8th power

Jelani wrote the system of linear equations to represent the number of student and adult tickets he and his friend sold to their school play. 12 s plus 10 A is equal to 128 16 s plus 21 A is equal to 232 Jelani also wrote the augmented matrix to represent this system. Which matrix could Jelani have written?

the 2 by 3 matrix row 1, 12 10 128 row 2, 16 21 232

the 2 by 2 matrix row 1, 12 10 row 2, 16 21

the 1 by 3 row matrix 12 10 128

the 3 by 2 matrix row 1, 12 16 row 2, 10 21 row 3, 128 232

Xavier exercises by riding his bike. During his first week of training, he rides a total of 15 miles. Each week he increases the number of miles biked by 0 point 4 miles. How many total weeks will it take Xavier to first bike more than 500 miles total?

Which is a coefficient matrix for the system of linear equations? 6 A plus 2 b is equal to 22 negative 8 b minus 3 c is equal to negative 19 negative 10 A plus 9 c is equal to negative 12

the 3 by 3 matrix, row 1, column 1, 6 column 2, 2 column 3, 0 row 2, column 1, 0 column 2, negative 8 column 3, negative 3 row 3, column 1, negative 10 column 2, 0 column 3, 9

the 3 by 3 matrix row 1, 6 2 0 row 2, 0 8 3 row 3, 10 0 9

the 3 by 4 matrix, row 1, column 1, 6 column 2, 2 column 3, 0 column 4, 22 row 2, column 1, 0 column 2, negative 8 column 3, negative 3 column 4, negative 19 row 3, column 1, negative 10 column 2, 0 column 3, 9 column 4, negative 12

the 3 by 3 matrix, row 1, column 1, 6 column 2, 2 column 3, 22 row 2, column 1, negative 8 column 2, negative 3 column 3, negative 19 row 3, column 1, negative 10 column 2, 9 column 3, negative 12

What are the values of c and d in the matrix subtraction? the 2 by 2 matrix, row 1, column 1, 6 column 2, 8 row 2, column 1, negative 11 column 2, 15 minus the 2 by 2 matrix, row 1, column 1, c plus 2 column 2, 3 row 2, column 1, negative 5 column 2, d minus 4 is equal to the 2 by 2 matrix, row 1, column 1, 22 column 2, 5 row 2, column 1, negative 6 column 2, 17

c is equal to negative 14 d is equal to 2

c is equal to negative 14 d is equal to negative 6

c is equal to negative 18 d is equal to 2

c is equal to negative 18 d is equal to negative 6

An arithmetic series is represented by the equation cap s sub 24 is equal to the sum from k is equal to 1 to 24 of negative 6 plus 0 point 5 Which of the following is true?

The value of the series is equal to the value of the 1 st or 24 th numbers in the series.

The value of the series is greater than the value of the 24 th number in the series.

The value of the series is between the values of the 1 st and 24 th numbers in the series.

The value of the series is less than the value of the 1 st number in the series.

What is the value of d sub 21 plus d sub 22 plus d sub 23 given the matrix equation? cap d plus the 3 by 3 matrix, row 1, column 1, 1 column 2, 0 column 3, 1 row 2, column 1, negative 3 column 2, 9 column 3, negative 7 row 3, column 1, negative 20 column 2, 2 column 3, 4 is equal to the 3 by 3 matrix, row 1, column 1, 9 column 2, negative 3 column 3, 2 row 2, column 1, 8 column 2, negative 1 column 3, 0 row 3, column 1, 11 column 2, 15 column 3, 3

Madyson borrows 1 dollars comma 200 from her father to purchase airplane tickets. The first week after borrowing the money, Madyson repays her father 50 dollars Each week after that, she is able to repay her father 2 dollars more than the previous week, except in the last week, when she finishes repaying the loan. How much is Madyson’s final payment?

82 dollars

78 dollars

84 dollars

88 dollars

Vince wrote the given sequence. (1)/(3),1,(5)/(3),(7)/(3),... Which of the following explains whether the sequence is geometric?

The sequence is geometric because 2 thirds was added to each term to get the next term.

The sequence is not geometric because 2 thirds was added to each term to get the next term.

The sequence is not geometric because 3 was multiplied to each term to get the next term.

The sequence is geometric because 3 was multiplied to each term to get the next term.

Which of the following is true regarding the given sequence? 7 over 12 comma 1 sixth comma negative 1 fourth comma negative 2 thirds

The sequence is not arithmetic because there is no common difference between the values of n .

The sequence is arithmetic because there is a common difference of negative 5 over 12 .

The sequence is not arithmetic because there is no common difference between the values of A sub n .

The sequence is arithmetic because there is a common difference of 1 .

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Matrices and Sequences — Test Answers

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