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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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