Question

Question 1

What is the vertex of f(x) = x² + 3x + 2?

Select one:

a. 7

b. (0, 2)

c. (-3/2, -1/4)

d. -3/2

e. None of these

Question 2

What is the exact value of sin (22.5 degrees)?

Select one:

a. .383

b. sqrt (2)

c. sqrt ((2 – sqrt(2)) / 2)

d. sqrt ((2 + sqrt (2)) / 4)

e. Impossible

Question 3

Solve the system: 2x + 3y = 7, 3x - 5y = 1

Select one:

a. (2, 1)

b. (1, 2)

c. (0, 0)

d. There is no solution

e. None of these

Question 4

What the equation of the line passing through (-1, 4) and parallel to y = 2x + 1?

Select one:

a. y = 2x + 6

b. y = 2x + 1

c. y = 2x

d. No such line exists

e. None of these

Question 5

What is the equation of a line through (-1, 4) and (-2, 7)?

Select one:

a. y = 3x + 1

b. y = -3x + 1

c. y = -3x + 7

d. y = 3x + 7

e. None of these

Question 6

The half-life of carbon 14 is 5,730 years. Approximately, how old is a bone that has 70% of its original carbon 14?

Select one:

a. 500 years

b. 1,000 years

c. 4,000 years

d. 3,000 years

e. None of these

Question 7

What is (2, - π/6) in rectangular coordinates?

Select one:

a. 0

b. (sqrt 3, 1)

c. (sqrt 3, -1)

d. – 1 / (sqrt (2) + sqrt (6))

e. Impossible

Question 8

If I invest $10,000 at 5% compounded monthly, how much will I have in 8 years? Choose the closest answer.

Select one:

a. $5,000

b. $10,000

c. $15,000

d. $20,000

e. $25, 000

Question 9

If f(x) = 3x +2 and g(x) = x -4, (f/g)(4) is:

Select one:

a. Undefined

b. 0

c. 14

d. (3, 2, 4)

e. None of these

Question 10

What is the period of y = 3cos ( 4x + π/2) + 5?

Select one:

a. π/4

b. π/2

c. π

d. 2π

e. –π

Answer 1