MATH 1201

What is the solution to 3x - y = 4, x + 6y = -5? Select one: a. (1, -1) Correct b. (-1, 1) c. The system is dependent d. No solution e. None of these

(1, -1)

If a = 2 + i, and b = 3 - 2i, what is b/a? Select one: a. 4/5 -(7/5)i b. 2 + (1/5)i c. 10 - i d. 10 + i e. Impossible Incorrect

4/5 -(7/5)i

What is i-3? Select one: a. 0 b. i c. -i Incorrect d. 1 e. -1

i

What kind of system is 2x + y = 3, -6x - 3y = -9? Select one: a. Independent b. Inconsistent c. Dependent Correct d. Non-linear e. None of these

Dependent

What type of system is 3x - y = 4, and - 6x + 2y2 = 5? Select one: a. Independent Incorrect b. Inconsistent c. Dependent d. Non-linear e. None of these

Non-linear

f(x) is a quadratic function with vertex (1, −2), opens up. Select one: a. X2 - 2x - 1 b. X2 - 2x + 1 c. X2 + 2x - 1 d. X2 + 2x + 1 Incorrect e. None of these

X2 - 2x - 1

To obtain $15,000 how much should be invested at 8%, compounded monthly, after 10 years? Choose the closest answer. Select one: a. $5,000 b. $6,000 c. $7,000 Correct d. $8,000 e. None of these

$7,000

What is the solution to 3x - 6y = 4, x + 6y = - 5? Select one: a. (1/4, 24/19) b. (-1/4, -19/24) Correct c. (4, 19) d. (-1, -24) e. None of these

(-1/4, -19/24)

If f(x) = 2x + 1, what is the domain? Select one: a. (2, 1] b. (1, 2) c. [-∞,∞] d. (-∞,∞) Correct e. (∞,-∞)

(-∞,∞)

If f(x) = 1 / (3x - 5), what is the inverse of f? Select one: a. 1 / (3x + 5) b. 1 / (3x - 5) c. (1/3).(1/x - 5) d. (1/3).(1/x + 5) Correct e. None of these

(1/3).(1/x + 5)

If f(t)=t^2+t , find the average rate of change on the interval [−1, 2]. Select one: a. -3/5 b. 3/5 c. -2 d. 2 e. undefined Incorrect

2

f(x) is a quadratic function with vertex (1, −2), opens up. Select one: a. X2 - 2x - 1 Correct b. X2 - 2x + 1 c. X2 + 2x - 1 d. X2 + 2x + 1 e. None of these

X2 - 2x - 1

If f(x) = 3x +2 and g(x) = x -4, (f/g)(4) is: Select one: a. undefined Correct b. 0 c. 14 d. (3, 2, 4) e. none of these

undefined

If f(x) = 3x - 5, what is the inverse of f? Select one: a. -3x + 5 b. 5x - 3 c. x/3 + 5/3 Correct d. x/3 - 5/3 e. None of these

x/3 + 5/3

Let f(x) = - x2 - 4, x < 0. What is f-1? Select one: a. -√(-x - 4) b. -√(-x - 4), x < - 4 Correct c. √(x + 4) d. -√(-x - 4), x > - 4 e. None of these

-√(-x - 4), x < - 4

Let f(x) = x2 - 4, x < 0. What is f-1? Select one: a. -√(x - 4) b. -√(x - 4), x > 4 c. -√(x + 4) Incorrect d. -√(x + 4), x >-4 e. None of these

-√(x + 4), x >-4

Solve for x: e2x + 1 = 10. Select one: a. 0.1 b. 0.3 Incorrect c. 0.6 d. 0.9 e. None of these

0.6

A frog jumps and takes 2 seconds to land. The path of the frog's flight is best modeled by the graph of f(x) = -x2 + 2x. What is the maximum height of the jump? Select one: a. 0 b. 1 Correct c. 2 d. The frog jumps into outer space. e. None of these.

1

For f(x) = √(x + 5) + 2, what is the domain of f-1? Select one: a. (-∞, ∞) Incorrect b. (0, ∞) c. (-∞, 0) d. [2, ∞) e. None of these

[2, ∞)

Find the range of f(x)=2- \sqrt{2-x} Select one: a. the empty set b. [-2, ∞) c. [2, ∞) d. (-∞, 2] Correct e. [2, ∞)

(-∞, 2]

Solve the system: x + y + z = 6, 2x - y + z = 3, x + y - z = 0 Select one: a. (0, 0, 6) b. (3, 2, 1) c. 1 d. (1, 2, 3) Correct e. None of these

(1, 2, 3)

Solve the system: x + y + z = 6, x - y + z = 2 Select one: a. (4 - z, z, z) b. (4 - z, 2, 2) c. (4 - z, z, 2) d. (4 - z, 2, z) Correct e. None of these

(4 - z, 2, z)

Solve the system: y2 = x - 4, y = x - 6. Select one: a. (5, -1), (8, -2) b. (5, -1), (-8, 2) c. (-5, 1), (8, -2) d. (-5, 1), (-8, 2) e. (5, -1), (8, 2) Correct

(5, -1), (8, 2)

Given the function g(x) = (x-1)^2 , find the average rate of change on the interval [−1, 2]. Select one: a. -2 b. -1 c. 1 d. 2 e. None of the above Incorrect

-1

Given the function g(x) = (x-1)^2 , find the average rate of change on the interval [−1, 2]. Select one: a. -2 b. -1 Correct c. 1 d. 2 e. None of the above

-1

If f (t) = t2 + t, find [ f(t + h) - f (t)] / h. Select one: a. 2t + h + 1 Correct b. 2t + 1 c. 2t d. 1 e. undefined

2t + h + 1

If f(x) = 2x + 3 and g(x) = x - 5, what is g ○ f? Select one: a. 2x + 1 b. 2x + 2 c. 2x - 1 d. 2x - 2 Correct e. None of these

2x - 2

If f(x) = 2x + 3 and g(x) = x - 5, what is f○g? Select one: a. 2x - 5 b. 2x - 7 Correct c. 2x - 10 d. 2x - 15 e. None of these

2x - 7

If f(x) = 2x + 3, and g(x) = x2 + x, what is f ○ g? Select one: a. 4x2 + 14x + 12 Incorrect b. 4x2 + 12x + 9 c. x2 + 3x + 3 d. 2x2 + 2x + 3 e. None of these

2x2 + 2x + 3

What, approximately, is log3 18? Choose the closest answer. Select one: a. 1 b. 2 c. 3 d. 4 Incorrect e. None of these

3

The best answer for x: ln (e10) = 3x - 2 is: Select one: a. 3.8 b. 3.9 c. 4.0 Correct d. 4.1 e. None of these

4.0

Solve the system: y = x2 - 4, y = 3x - 6 Select one: a. (2, 0) b. (0, 2) c. 2 and -1 d. (2, 0) and (-1, -3) e. None of these Correct

None of these

If f(x) is a 4th degree polynomial, and has 3 real numbers as roots, the other root is? Select one: a. 0 b. Real Correct c. Complex d. 1 e. None of these

Real

An equation for a line perpendicular to p(t) = 3t + 4 and passing through the point (3, 1) is: Select one: a. y = (1/3)x + 1 b. y = (-1/3)x + 1 c. y = (1/3)x + 2 d. y = (-1/3)x + 2 Correct e. None of these

y = (-1/3)x + 2

What are the possible rational roots of f(x) = 5x4 - 173x3 -16x2 -7x -15, according to the rational root theorem? "+-" means "plus or minus". Select one: a. {1, 3, 5, 15} b. {+- 1, +- 3, +- 5, +- 15} c. {+- 1/5, +- 3/5, +-1, +- 3, +- 5, +- 15} Correct d. {+- 1, +- 5, +- 1/3, +- 5/3, +- 1/5, +- 1/15} e. None of these

{+- 1/5, +- 3/5, +-1, +- 3, +- 5, +- 15}

Where the line y = 6 meets the parabola y = x2 + x for x > 0? Select one: a. (-2, 6) b. (-1, 6) c. (1, 6) d. (2, 6) Correct e. None of these

(2, 6)

What are the x-intercepts of f(x) = x2 - 6? Select one: a. {6, -6} b. (0, -6) c. (6, 0) and (-6, 0) d. (√6, 0) and (-√6, 0) Correct e. There are no intercepts

(√6, 0) and (-√6, 0)

Find the value of x if a linear function goes through the following points and has the following slope: (x, 2), (−4, 6), m = 3. Select one: a. 3/16 b. -3/16 c. -16/3 Correct d. 16/3 e. None of these

-16/3

Solve for x: (1/2) = 2x + 3 Select one: a. -4 b. -2 Incorrect c. 0 d. 2 e. None of these

-4

The half-life of carbon 14 is 5,730 years. How old is a bone that has 70% of its original carbon 14? Choose the closest answer. Select one: a. 500 years Incorrect b. 1,000 years c. 2,000 years d. 3,000 years e. None of these

3,000 years

Solve for x: 2 = (1/2)-x + 3 Select one: a. -4 b. -2 c. 2 Incorrect d. 4 e. None of these

4

What, approximately, is log2 12? Choose the closest answer. Select one: a. 1 b. 2 Incorrect c. 3 d. 4 e. None of these

4

If a = 2 + i, and b = 3 - 2i, what is a/b? Select one: a. 13/4 + 13i/7 b. 13/4 - 13i/7 Incorrect c. 4/13 + 7i/13 d. 4/13 - 7i/13 e. None of these

4/13 + 7i/13

If f(x) = 2x + 3, and g(x) = x2 + x, what is g ○ f? Select one: a. 4x2 + 14x + 12 Correct b. 4x2 + 12x + 9 c. x2 + 3x + 3 d. 2x2 +2x +3 e. None of these

4x2 + 14x + 12

What is (2+i \sqrt{2}), (2- i\sqrt{2} ) ? Select one: a. 4 b. 6 c. 8 Incorrect d. 10 e. 12

6

The half-life of carbon 14 is 5,730 years. How old is a bone that has 5/9 of its original carbon 14? Choose the closest answer. Select one: a. 4,000 years b. 6,000 years Correct c. 8,000 years d. 10,000 years e. None of these

6,000 years

If f(x) is a 4th degree polynomial, and has 3 complex numbers as roots, the other root is? Select one: a. 0 b. Real c. Complex Correct d. 1 e. None of these

Complex

What type of system is 3x - y = 4, and -6x + 2y = 5? Select one: a. Independent Incorrect b. Inconsistent c. Dependent d. Non-linear e. None of these

Inconsistent

What kind of system is 2x + y = 3, - 6x - y = - 9? Select one: a. Independent Correct b. Inconsistent c. Dependent d. Non-linear e. None of these

Independent

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 Incorrect e. None of these

y = -3x + 1

What the equation of the line passing through (1, 4) and parallel to y = 2x + 1? Select one: a. y = 2x + 2 Correct b. y = 2x + 1 c. y = 2x d. No such line exists. e. None of these.

y = 2x + 2

What are the possible rational roots of f(x) = 5x4 - 173x3 -16x2 -7x -15, according to the rational root theorem? "+-" means "plus or minus". Select one: a. {1, 3, 5, 15} Incorrect b. {+- 1, +- 3, +- 5, +- 15} c. {+- 1/5, +- 3/5, +-1, +- 3, +- 5, +- 15} d. {+- 1, +- 5, +- 1/3, +- 5/3, +- 1/5, +- 1/15} e. None of these

{+- 1/5, +- 3/5, +-1, +- 3, +- 5, +- 15}

What are the possible rational roots of f(x) = x4 - 173x3 - 16x2 - 7x - 15, according to the rational root theorem? "±" means "plus or minus". Select one: a. {1, 3, 5, 15} Incorrect b. {±1, ±3, ±5, ±15} c. {±1/15, ±3/15, ±1, ±3, ±5, ±15} d. {±1, ±5, ±1/3, ±5/3, ±1/5, ±1/15} e. None of these

{±1, ±3, ±5, ±15}

As x goes to infinity, the graph of f(x) = 5x4 - 173x3 -16x2 -7x -15 goes to (points in) what direction? Select one: a. ∞ Correct b. -∞ c. 0 d. 1 e. 5

∞

As x goes to minus infinity, the graph of f(x) = 5x4 - 173x3 - 16x2 - 7x - 15 goes to (points in) what direction? Select one: a. ∞ Correct b. -∞ c. 0 d. 1 e. 5

∞

What is the equation of a line through (-1, 4) and (-2, 7)? Select one: a. y = 3x + 1 b. y = -3x + 1 Correct c. y = -3x + 7 d. y = 3x + 7 e. None of these

y = -3x + 1

What is the vertex of f(x) = x2 + 3x + 2? Select one: a. 7 b. (0, 2) c. (-3/2, -1/4) Correct d. -3/2 e. None of these

(-3/2, -1/4)

If $10,000 is invested at 8%, compounded monthly, how is the investment worth after 5 years? Choose the closest answer. Select one: a. $5,000 b. $10,000 Incorrect c. $15,000 d. $20,000 e. None of these

$15,000

If A = (-2, 5) and B = [4,7], A ᴗ B? Select one: a. the empty set b. (-∞, ∞) c. (-2, 7] Correct d. [-2, 7) e. [4, 5)

(-2, 7]

For f(x) = -√(x - 5) - 2, what is the domain of f-1? Select one: a. (-∞, 2] b. [2, ∞) c. (-∞, -2] d. [-2, ∞) e. None of these Incorrect

(-∞, -2]

Find the range of f (x) = - 1 / √ (2 - x) Select one: a. the empty set b. (-∞, 0) Correct c. (0, ∞) d. (-2, ∞) e. (2, ∞)

(-∞, 0)

Find the range of f(x)=- \sqrt{2-x} Select one: a. the empty set b. (-∞, 0] Correct c. [0, ∞) d. [-2, ∞) e. [2, ∞)

(-∞, 0]

What is the vertex of f(x) = 3(x - 2)2 + 2? Select one: a. (-2, -2) b. (-1, -1) c. (1, 1) d. (2, 2) Correct e. None of these

(2, 2)

If f(t)=t^2+t , find the average rate of change on the interval [−1, 2]. Select one: a. -3/5 b. 3/5 c. -2 d. 2 Correct e. undefined

2

What is the domain of f(x) = √(x - 5) / √x (√ means "the square root of")? Select one: a. (0, 5) b. [0, 5] c. [5, ∞) Correct d. [0, 5) e. [5, 0)

[5, ∞)