## Question

1/2

3/5

11/20

13/20

none of the above

Find the vertex, focus, and directrix of the parabola x² – 4y + 8 = 0

Vertex( 0, 2)

Focus (0, 3)

Directrix y = 1

Vertex( 0, 3)

Focus (0, 3)

Directrix y = 1

Vertex( 0, 2)

Focus (0, –3)

Directrix y = –1

Vertex( 0, 4)

Focus (0, 4)

Directrix y = 5

none f the above

Find the mayor axis o the ellipse: 9x² + 25y² = 225

2a = 25

2a =16

2a = 10

2a = 20

none of the above

Find the vertex, focus, and directrix of the parabola y² = –5x

vertex (0, 0)

focus (0, 5/4)

directrix x = –5/4

vertex (0, 0)

focus (–5/4, 0)

directrix x = 5/4

vertex (0, 0)

focus (–5, 0)

directrix y = 5

vertex (0, 0)

focus (0, 9/4)

directrix x = –9/4

none of the above

Find the center, vertices and foci of the ellipse: 12x² + y² = 36

Center (0, 0)

Vertices (0, ±5)

Foci (0, ±√3)

Center (0, 0)

Vertices (0, ±6)

Foci (0, ±√2)

Center (0, 0)

Vertices (±5, 0)

Foci (±√15, 0)

Center (0, 0)

Vertices (0, ±6)

Foci (0, ±√33)

none of the above

A jar contains 4 red marbles, 6 blue marbles, and 10 yellow marbles, and two marbles are drawn at random with replacement, what is the probability to select one blue and one not blue marbles?

4/25

21/100

1/50

3/20

none of the above

The nth term of a Geometric Sequence with first term a1 and common ratio r is:

an = a1rn

an = a1r(n –1)

an = 2a1r(n +1)

an = a1r(n +1)

none of the above

An urn contains 8 white balls, 2 green balls, and 6 pink balls. If 2 balls are drawn at random without replacement, what is the probability to drawn 2 green balls?

1/15

1/120

7/30

7/15

none of the above

An equation in three variables (x, y, z) represents

a line

a sphere

a plane

a cylinder

Solve the system of equations by the Elimination Method:

x – 2y = 1

2x – 5y = –2

Find the foci and the asymptotes of the hyperbola: y2 – 4y – 4x2 – 24x – 36 = 0

Foci (–4 ±√13, –2)

Asymptote: 3x – 2y = –8

Asymptote: 3x + 2y = –16

Foci (3 ±√5, –1)

Asymptote: 2x – 3y = 9

Asymptote: 2x + 3y = 3

Foci (–3, 2 ±√5)

Asymptote: 2x – y = –8

Asymptote: 2x + y = –4

Foci (2 ±√13, –1)

Asymptote: 2x – 3y = 9

Asymptote: 2x + 3y = 9

none of the above

A set of cards has 5 red cards and 5 black cards. If 3 cards are selected at random, what is the probability to select at least 1 black card.

7/8

1/2

117/125

1/8

none of the above

A set of cards has 6 red cards and 4 black cards. If 3 cards are selected at random, what is the probability to select at least 1 red card.

91/216

7/8

98/125

117/125

none of the above

The product of two matrices A and B is defined if and only if:

matrices A and B have the same order

matrices A and B have nonzero elements

the number of columns of the first matrix A is equal to the number of rows of the second matrix B

the number of rows of the first matrix A is equal to the number of columns of the second matrix B

none of the above

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1. choice C2. choice A

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