# 12 00 exam

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    2 points

### Question 2

1. If A = and B = , find 3A + B.    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.
 TRUE FALSE

2 points

### Question 4

1. Evaluate     2 points

### Question 5

1. Evaluate     2 points

### Question 6

1. Find the determinant of -10 6 10 18

2 points

### Question 7

1. Two lines that intersect have _____ solutions.
 one two three four

2 points

### Question 8

1. Does the following system of equations have a solution? Yes No

2 points

### Question 9

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 10

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

 (5, 6) (1, 5) (-11, -20) Inconsistent

2 points

### Question 11

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

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

2 points

### Question 12

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

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

2 points

### Question 13

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

 (2, -2) (-2, 2) Inconsistent Consistent

2 points

### Question 14

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

 (25, 27) (27, 25) (-1, -4) (4, 1)

2 points

### Question 15

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

 (2, 2) (-2, -2) Consistent Inconsistent

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.
 15 dimes and 14 quarters 14 dimes and 15 quarters 10 dimes and 19 quarters 19 dimes and 10 quarters

2 points

### Question 17

1. Which of the following is a solution to the following system of inequalities? (1, 1) (-4, 0) (3, 2) (0, 5)

2 points

### Question 18

1. The following is the solution of x â€“ 2y > -4.
x + y â‰¥ -3 TRUE FALSE

2 points

### Question 19

1. Solve x + 2y = 10
-2x â€“ 4y = 24
5x + 5y + 5z = 15

 Infinite number of solutions no solutions (2, 4, -3) (0, -6, 9)

2 points

### Question 20

1. Solve x + y + z = -6
-2x â€“ 2y â€“ 2z = 12
5x + 5y + 5z = -30

 Infinite number of solutions no solutions (1, -9, 3) (-1, -2, 3)

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, 4, 6 2, 5, 5 3, 7, 2 5, 10, -3

2 points

### Question 22

1. Which of the following are NOT perpendicular?
 The diagonals in a parallelogram The diagonals in a kite The diagonals in a rhombus The adjacent sides in a rectangle

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. Not enough information is given. 16.8 -6 6

2 points

### Question 24

1. YWXZ is a rhombus with diagonals that intersect at point S. Angle WSX measures Find the value of x. 26 56 34 Not enough information is given

2 points

### Question 25

1. Triangle LMN is congruent to triangle HIJ. Angle L measures angle M measures and angle J measures 2x + 10 degrees. Find the value of x.
 27.5 35 12.5 40

2 points

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