Enter Title

Algebra (JV)

100

Simplify: 

(2/0.25) - 4

What is 4

200

Evaluate the expression log₂ (log₃81):

What is 2

300

What is the value of 162² - 152²

What is 3140

400

If (x + 1/x)² = 64, then what is the value of x² + 1/x²

What is 62

500

Solve the radical equation:

5 + (2x - 1)^.5 = 2

What is no solution

Probability (JV/V)

100

(JV)

Using a fair six-sided die, Carlin has rolled a six on each of 4 successive tosses. What is the probability Carlin rolls a six on the next toss?

What is 1/6

200

(JV)

A marble is drawn at random from a box containing 4 green, 5 black, and 6 white marbles. Find the probability of drawing a marble that is not white.

What is 3/5 or 0.6

300

(JV)

A bag is filled with a mixture of 14 green M&M's and 26 red M&M's. You are hungry and put your hand in the bag without looking and grab 2 M&M's. What is the probability you will get a green and red M&M?

What is 7/15

400

(V)

A bucket of golf balls contains yellow golf balls and white golf balls. THe representative sample you have collected contains two yellow golf balls and three white golf balls. If the bucket contains 50 golf balls, how many white golf balls would you expect there to be in the bucket?

What is 30 golf balls

500

(V)

Four books out of ten different books are to be arranged on a shelf. If the order of the books matters, how many distinct ways can the books be placed on the shelf?

What is 5,040

Monday Mix

100

Find the area of a rhombus having a perimeter of 40 units and a diagonal of length 12 units?

What is 96 units squared

200

Find the 25th term of the arithmetic sequence whose second term is 4 and whose sixth term is 16?

What is 73?

300

Given that sin(x) = 1/2 and sec(x) < 0, find tan(x)

What is -3^.5/3

400

Suppose that tan(x) = -4/3. Find the exact value of tan(x + pi)

What is -4/3

500

Simplify the following expression to a single trigonometric function:

cos²(x)(tan(x) + cot(x))

What is cot(x)

Algebra (V)

100

How many integers x, with 0 < x <= 200, are divisible by 2, 3, and 4?

What is 16

200

If f(x) = x^-x - x⁰ + 2^x, find the value of f(3). Express your answer as either an integer or reduced fraction.

What is 190/27

300

Find all values of a for which the lines represented by the equations 2y + 3 + x = 0 and 3y + ax + 2 = 0 are perpendicular?

What is -6

400

Give the exact value of cos(80)cos(70) - sin(80)sin(70)

What is -3^.5/2

500

Solve 2^.5sec(x) + 2 = 0 on the interval [0, 2pi]

What is 3pi/4 and 5pi/4