Mathematics

12.00 Exam

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Question Description

Question 1


  1. Which of the following is the correct matrix representation of the Friday movie ticket sales?

    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


    a 2 by 2 matrix: row one is 257, 183 and row two is 135, 168
    a 2 by 2 matrix: row one is 183, 355 and row two is 168, 242
    a 2 by 2 matrix: row one is 398, 423 and row two is 376, 386
    a 2 by 2 matrix: row one is 355, 402 and row two is 242, 311

2 points

Question 2


  1. If A = a two by three matrix: row one is 3, 5, 2 and row two is negative 1, 8, 5 and B = a two by three matrix: row one is 7, 3, negative 2 and row two is 5, 4, 3 , find 3A + B.
    a two by three matrix: row one is 10, 8, 0 and row two is 4, 12, 8
    a two by three matrix: row one is 16, 18, 4 and row two is 2, 28, 18
    a two by three matrix: row one is negative 1, 7, 8 and row two is negative 8, 20, 12
    a two by three matrix: row one is 10, 6, 1 and row two is 8, 7, 6

2 points

Question 3


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

2 points

Question 4


  1. Evaluate a two by two matrix with row one: 1, 6; and row two: 4, 2; times a two by two matrix with row one: 1, 4; and row two: negative 3, 5
    a two by two matrix with row one: 1, 24; and row two: negative 12, 10
    a two by two matrix with row one: 2, 10; and row two: 1, 7
    a two by two matrix with row one: 17, 14; and row two: 17, negative 8
    a two by two matrix with row one: negative 17, 34; and row two: negative 2, 26

2 points

Question 5


  1. Evaluate a two by two matrix with row one: 1, 4; and row two: negative 3, 5; times a two by one matrix with terms 3, negative 2
    a two by one matrix with terms negative 5, negative 19
    a two by one matrix with terms 13, negative 22
    a two by one matrix with terms 11, negative 16
    a two by one matrix with terms 6, 3

2 points

Question 6


  1. Find the determinant of a 2 by 2 matrix: row one is 1, 7 and row two is negative 2, 4

2 points

Question 7


  1. Two lines that intersect have _____ solutions.

2 points

Question 8


  1. Does the following system of equations have a solution?

    graph of lines y equals negative x minus 2 and y equals negative x plus 4

2 points

Question 9


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

    graph of lines y equals negative x plus 1 and y equals 2 x plus 3

2 points

Question 10


  1. Solve the following system of equations by using the substitution method.
    y = 2x + 3
    5x – 2y = -5

2 points

Question 11


  1. Solve y = 2x – 4 by the substitution method.
    7x – 5y = 14

2 points

Question 12


  1. Solve the following system of equations by using the elimination method.
    3x – 3y = 5
    -x + y = 7

2 points

Question 13


  1. Solve the following system of equations by using the elimination method.
    2x – 3y = -10
    3x + 5y = 4

2 points

Question 14


  1. Solve the following system of equations using matrices.
    3x – 7y = 25
    5x – 8y = 27

2 points

Question 15


  1. Solve the following system of equations using matrices.
    2x + 4y = 16
    -4x – 8y = 32

2 points

Question 16


  1. A collection of dimes and quarters has a total value of five dollars and contains 29 coins. How much of each kind of coin are there in the collection.

2 points

Question 17


  1. Which of the following is a solution to the following system of inequalities?
    solid line at y equals negative x plus one, solid line at y equals two x plus 3, shaded above the first line and above the second line

2 points

Question 18


  1. The following is the solution of x – 2y > -4.
    x + y ≥ -3

    dotted line at x minus 2 y equals negative 2, solid line at x plus y equals negative 3, shaded below the first line and above the second line

2 points

Question 19


  1. Solve x + 2y = 10
    -2x – 4y = 24
    5x + 5y + 5z = 15

2 points

Question 20


  1. Solve x + y + z = -6
    -2x – 2y – 2z = 12
    5x + 5y + 5z = -30

2 points

Question 21


  1. The sum of three numbers is 12. The first number is the difference of the other two numbers. When you add the other two numbers and subtract 8, the result will be the first number. Find the numbers.

2 points

Question 22


  1. Which of the following are NOT perpendicular?

2 points

Question 23


  1. YWXZ is a rhombus with diagonals that intersect at point S. Side WX measures 4a + 12. Side XZ measures 6a. Find the value of a.
    rhombus YWXZ with diagonals WZ and XY that cross at point S

2 points

Question 24


  1. YWXZ is a rhombus with diagonals that intersect at point S. Angle WSX measures 3 x plus 12 degrees Find the value of x.
    rhombus YWXZ with diagonals WZ and XY that cross at point S

2 points

Question 25


  1. Triangle LMN is congruent to triangle HIJ. Angle L measures 35 degrees angle M measures 65 degrees and angle J measures 2x + 10 degrees. Find the value of x.

2 points

Question 26


  1. Triangle LMN is congruent to triangle HIJ. Angle L measures 35 degrees angle M measures 65 degrees and angle I measures 2x + 10 degrees. Find the value of x.

2 points

Question 27


  1. Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle G measures 49 degrees. Find the measure of angle H.

2 points

Question 28


  1. Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side YZ measures 5x – 5. Find the value of x.

2 points

Question 29


  1. Point C is the center of the circle. The measure of angle ACB is 15x + 20. Arc AB measures 20x – 10. Find the measure of arc AB.
    circle C with points A, B, and D on the circle and central angle A C B drawn

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