# 12.00 Semester 2 Exam part 1

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Question 1
Which of the following is the correct matrix representation of the Thursday 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
If A = and B = , find B – A. 2 points
Question 3
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
Evaluate 2 points
Question 5
Evaluate 2 points
Question 6
Find the determinant for 16 0 -16 8 2 points
Question 7
Two lines that intersect have _____ solutions. one two three four 2 points
Question 8
Does the following system of equations have a solution? Yes No 2 points
Question 9
What is the approximate solution of the following system of equations? (-1, 1) (-1, -1) (1, -1) (1, 1) 2 points
Question 10
Solve the following system of equations by using the substitution method.x + y = 13x – y = 11 (-3, 4) (6, -5) (3, -2) Inconsistent 2 points
Question 11
Solve the following system of equations by using the substitution method.y = 2x + 35x – 2y = -5 (5, 6) (1, 5) (-11, -20) Inconsistent 2 points
Question 12
Solve the following system of equations by using the elimination method.2x – 3y = -103x + 5y = 4 (2, -2) (-2, 2) Inconsistent Consistent 2 points
Question 13
Solve the following system of equations by using the elimination method.2x + 4y = 83x – 3y = 12 (4, 0) (0, 4) (-4, 0) (0, -4) 2 points
Question 14
Solve the following system of equations using matrices.2x + 4y = 16-4x – 8y = 32 (2, 2) (-2, -2) Consistent Inconsistent 2 points
Question 15
Solve the following system of equations using matrices.4x – 2y = -63x – 6y = -18 (40, 90) (3, 0) (0, 3) (-6, 18) 2 points
Question 16
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
Which of the following is a solution to the following system of inequalities? (1, 1) (-4, 0) (3, -3) (0, 5) 2 points
Question 18
The following is the solution of x – 2y > -4.x + y ≥ -3 TRUE FALSE 2 points
Question 19
Solve x + y + z = 122x – y – z = -6x + 3y + 5z = 44 (4, 3, 5) no solutions (2, 4, -6) (2, 4, 6) 2 points
Question 20
Solve x + y = 6y + z = 0x + y – z = 4 Infinite number of solutions no solutions (8, -2, 2) (3, 3, -3) 2 points
Question 21
Kim
has \$1.65 in nickels, dimes and quarters. She has 10 coins all
together and the number of quarters is equal to the number of nickels
and dimes combined. Haw many of each coin does she have? 3 nickels, 2 dimes, 5 quarters 3 nickels, 2 dimes, 2 quarters 2 nickels, 3 dimes, 5 quarters 3 nickels, 5 dimes, 2 quarters 2 points
Question 22
Which of the following are congruent? The opposite sides in a kite The opposite angles in a trapezoid The opposite angles in a parallelogram The diagonals in a rhombus 2 points
Question 23
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 24
ABCD is a parallelogram. Angle B is equal to and angle D is equal to Find x. 12.5 15 7.5 38.75 2 points
Question 25
Triangle LMN is congruent to triangle HIJ. Angle L measures angle M measures and angle I measures 2x + 10 degrees. Find the value of x. 27.5 35 12.5 40 2 points
Question 26
Triangle ABC is congruent to triangle XYZ. Angle A measures angle B measure and angle Z measures Find the value of x. 20.5 13.67 16 10.5 2 points
Question 27
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 ZX measures 4x
– 2. Find the value of x. 6.33 7.2 5 8 2 points
Question 28
Triangle
DEF is similar to triangle PQR. Side DE measures 3, side EF measures 7
and side FD measures 9. Side PQ measures 5x – 25 and side QR measures
6x + 4. Find the value of x. 11 12 3 14 2 points
Question 29
Point C is the center of the circle. Arc AB measures 5x + 2. Angle ACB measures 3x + 14. Find the value of x. 2 8 6 20 2 points
Question 30
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. 60 135 110 95 2 points
Question 31
Angle C is an inscribed angle of circle P. Angle C measures (3x + 5)° and arc AB measures (16x)°. Find x. 1 5 3 9 2 points
Question 32
Angle C is an inscribed angle of circle P. Angle C measures (16x – 1)° and arc AB measures (20x + 10)°. Find x. 1 5 3 9 2 points
Question 33
Circles M and K are congruent and QR is congruent to LN. Find x. 21 24 27 29 2 points
Question 34
Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW. Find x. 3 -3 5 -5 2 points
Question 35
and are tangent to circle D. Find angle B if arc AEC measures 210° 105° 30° 285° Cannot be determined 2 points
Question 36
Find the if is equal to 51° and angle A measures 21°. 15° 93° 72° 46° 2 points
Question 37
What is the distance between P(0, 14) and Q(5, -2)? 13 14 2 points
Question 38
Find the midpoint of if P (10, 20) and Q(15, 20)? (2.5, 0) (25, 40) (12.5, 20) (20, 12.5) 2 points
Question 39
The equation represents a __________. parabola circle hyperbola ellipse 2 points
Question 40
What is the focus of the following graph? (0, 6) (6, 0) (0, -6) (-6, 0) 2 points
Question 41
What is the focus of the following graph? (-4, 2) (-7, 2) (2, -4) (2, -7) 2 points
Question 42
What is the focus of the following graph? (2, 3) (2, -2) (2, 2) (2, 8) 2 points
Question 43
What is the equation of a parabola with a vertex at (1, -1) and a directrix y = 4. 2 points
Question 44
What is the equation of the parabola with a directrix at y = 4 and focus (0, -4). 2 points
Question 45
What is the symmetry of the following graph? x = 2 x = -2 y = 5 y = -5 2 points
Question 46
What is the equation of the following graph? x2 + y2 = 1 x2 + y2 = 4 x2 + y2 = 16 x2 + y2 = 17 2 points
Question 47
What is the center of the following circle? (1, –1) (–1, 1) (1, 1) (–1, –1) 2 points
Question 48
What is the center of the following circle? (–1, –4) (1, 4) (4, 1) (–4, –1) 2 points
Question 49
Write the equation of a circle with a center at (–4, 2) and a radius of 2.2. (x + 4)2 + (y – 2)2 = 2.2 (x + 4)2 + (y – 2)2 = 4.4 (x + 4)2 + (y – 2)2 = 4.84 (x – 4)2 + (y + 2)2 = 4.84 2 points
Question 50
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
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