Problem #1

If the probability of selecting a red ball is 1/3, a blue one is 1/3, and a white ball is 1/3, what is the probability of selecting a red or white ball?

Problem #2

The ratio of the radius of a circle to the length of a square is 1:2. If the perimeter of the square is 16, what is the area of the circle?

Problem #3

Let |2m + 12|=n and |n - 3| = 3. What is the value of

*m*?

Problem #4

If a segment with a slope of

*x*, passes through points (x, 2) and (2, x). What is the value of

*x*?

Problem #5

If ab=4 and b=-4, then what is the value of a/b?

Problem #6

If m

_{1} is the slope of line 1 and m

_{2} is the slope of line 2, which one is true?

Problem #7

If the average of

*a* and

*b* is equal to the average of

*b* and

*c*, what is the value of

*a - c*?

Problem #8

If X is 8 years older than Y and the sum of their ages is equal to 30, what is the multiply of their ages?

Problem #9

What is the value of

*1 + 2 + 4 + 8 + ... + 128 = ?*
Problem #10

Let

*b < 0 < a*. Select the correct statement?

Problem #11

What is the average of

*x*^{2} + x + 1,

*-x + 1*, and

*-x*^{2} + 1?

Problem #12

If

*k ≥ 3, k* is prime and

*m* is even, which one is odd?

Problem #13

Find the value of

*f(-10) + f(0) + f(1)*, according to the diagram.

Problem #14

If

*x + y + z = 4* and

*-y - z = 6*, what is the value of

*x*?

Problem #15

If 50% of 50% of

*x* is equal to 30 percent of 30 percent of 900, what is the value of

*x*?

Problem #16

What is the value of the arc

*AD*?

Problem #17

If [tex]f(x)=x^2 - x + \sqrt{2}[/tex], what is the value of [tex]f(\sqrt{2})[/tex]?

Problem #18

If

*ab = c* and

*a/b = d*, what is the value of

*a* in terms of

*c* and

*d*?

Problem #19

If

*f(x) = 3x*^{2} + 2x + 5 and

*g(x)= x*^{3} - x^{2} + x - 4, what is the value of

*f(0) - g(1)*?

Problem #20

If

*c* is the average of

*a* and

*b*, and also the average of

*b* and

*–d* is

*c*, what's the average of

*a* and

*d*?