B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts Bachelor of Liberal Arts For Math 3

Question 1

A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of drawing a blue marble?

Accepted Answer

3/12

Answer

There are 3 blue marbles out of 4+3+5=12 total, so P(blue) = 3/12 = 1/4.

Question 2

What is the solution to the system: 2x + y = 7 and x - y = 2?

Accepted Answer

x=3, y=1

Answer

Adding the equations gives 3x = 9, so x = 3; substituting back gives y = 1.

Question 3

Which of the following best describes an irrational number?

Accepted Answer

A number whose decimal expansion is non-terminating and non-repeating

Answer

Irrational numbers have decimal expansions that neither terminate nor repeat, such as √2 or π.

Question 4

What is the area of a circle with diameter 10?

Accepted Answer

25π

Answer

Radius = 5, so Area = πr² = π(5²) = 25π.

Question 5

If f(x) = 2x + 1, what is f⁻¹(x)?

Accepted Answer

(x - 1)/2

Answer

Swap x and y: x = 2y + 1, then solve for y: y = (x - 1)/2.

B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts Practice Test