# 12 00 Semester 2 Exam Part 1 2

### Question 1

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

1. If A = and B = , find B – A.

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

1. Evaluate

2 points

1. Evaluate

2 points

### Question 6

1. Find the determinant for
 16 0 -16 8

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?

 (-1, 1) (-1, -1) (1, -1) (1, 1)

2 points

### Question 10

1. Solve the following system of equations by using the substitution method.
x + y = 1
3x – y = 11
 (-3, 4) (6, -5) (3, -2) Inconsistent

2 points

### Question 11

1. Solve the following system of equations by using the substitution method.
y = 2x + 3
5x – 2y = -5
 (5, 6) (1, 5) (-11, -20) Inconsistent

2 points

### Question 12

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

2 points

### Question 13

1. Solve the following system of equations by using the elimination method.
2x + 4y = 8
3x – 3y = 12
 (4, 0) (0, 4) (-4, 0) (0, -4)

2 points

### Question 14

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

2 points

### Question 15

1. Solve the following system of equations using matrices.
4x – 2y = -6
3x – 6y = -18
 (40, 90) (3, 0) (0, 3) (-6, 18)

2 points

### Question 16

1. Acollection of dimes and quarters has a total value of five dollars andcontains 29 coins. How much of each kind of coin are there in thecollection.
 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, -3) (0, 5)

2 points

### Question 18

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

 TRUE FALSE

2 points

### Question 19

1. Solve x + y + z = 12
2x – y – z = -6
x + 3y + 5z = 44
 (4, 3, 5) no solutions (2, 4, -6) (2, 4, 6)

2 points

### Question 20

1. Solve x + y = 6
y + z = 0
x + y – z = 4
 Infinite number of solutions no solutions (8, -2, 2) (3, 3, -3)

2 points

### Question 21

1. Kimhas \$1.65 in nickels, dimes and quarters. She has 10 coins alltogether and the number of quarters is equal to the number of nickelsand 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

1. 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

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 24

1. 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

1. 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

1. 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

1. TriangleABC 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

1. TriangleDEF is similar to triangle PQR. Side DE measures 3, side EF measures 7and side FD measures 9. Side PQ measures 5x – 25 and side QR measures6x + 4. Find the value of x.
 11 12 3 14

2 points

### Question 29

1. 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

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.

 60 135 110 95

2 points

### Question 31

1. 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

1. 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

1. Circles M and K are congruent and QR is congruent to LN. Find x.

 21 24 27 29

2 points

### Question 34

1. 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

1. and are tangent to circle D. Find angle B if arc AEC measures 210°

 105° 30° 285° Cannot be determined

2 points

### Question 36

1. Find the if is equal to 51° and angle A measures 21°.
 15° 93° 72° 46°

2 points

### Question 37

1. What is the distance between P(0, 14) and Q(5, -2)?
 13 14

2 points

### Question 38

1. 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

1. The equation represents a __________.
 parabola circle hyperbola ellipse

2 points

### Question 40

1. What is the focus of the following graph?

 (0, 6) (6, 0) (0, -6) (-6, 0)

2 points

### Question 41

1. What is the focus of the following graph?

 (-4, 2) (-7, 2) (2, -4) (2, -7)

2 points

### Question 42

1. What is the focus of the following graph?

 (2, 3) (2, -2) (2, 2) (2, 8)

2 points

### Question 43

1. What is the equation of a parabola with a vertex at (1, -1) and a directrix y = 4.

2 points

### Question 44

1. What is the equation of the parabola with a directrix at y = 4 and focus (0, -4).

2 points

### Question 45

1. What is the symmetry of the following graph?

 x = 2 x = -2 y = 5 y = -5

2 points

### Question 46

1. What is the equation of the following graph?

 x2 + y2 = 1 x2 + y2 = 4 x2 + y2 = 16 x2 + y2 = 17

2 points

### Question 47

1. What is the center of the following circle?

 (1, –1) (–1, 1) (1, 1) (–1, –1)

2 points

### Question 48

1. What is the center of the following circle?

 (–1, –4) (1, 4) (4, 1) (–4, –1)

2 points

### Question 49

1. 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

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

33 mins ago

requirementsschool algebra 2school 12.00 Semester 2 Examschool Take Test: 12.00 Semester 2 Examaccount_balance keystone

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