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The result of \sqrt{570} ÷ \sqrt{7} is closest to which of the following?
If \sqrt{108} =a\sqrt{b}, where a and b are both positive integers, which of the following could be the value of a+b?

Indicate all such numbers.
x> \sqrt{5}

Quantity A

3x

Quantity B

\sqrt{45}


If 3x+4=5x-6, then what is the value of x ?
If 2x=3y=4z=20, then 12xyz=
If 2x+y=5 and 3x+2y=8, then what is the value of 4x+3y?
The system of equations has how many solutions?

3x-6y=9

2y-x-3=0
x^{2} = x

Quantity A

3^{x}

Quantity B

3^{-x}


Solve the equation x^{3}-2x^{2}-5=x^{2}(x+3+10x^{-1}), and the solution is x=
What is the sum of all possible solutions to the equation below?

\sqrt{2x^{2}-x-9} =x+1
How many ordered pairs of positive integers (x, y) satisfy the inequality 2x+3y < 10?
n is an integer, and k is not an integer.

0 < k < n < k+2

Quantity A

n

Quantity B

k +1


z=x+2y

If x stands for integers from 30 to 39, inclusive, and y stands for integers from 20 to 29, inclusive, then the tens digit of z could be?

Indicate all such possible values.
If x + y ≠ 0, which of the following is a solution to the inequality below?

Indicate all such pairs.

\frac{x^{2}-y^{2}-1}{x+y} > \frac{-1}{x+y}
1 < x < 2

Quantity A

x +x^{-1}

Quantity B

2


x > 0, y > 0

Quantity A

\sqrt{xy}

Quantity B

\frac{x+y}{2}


\frac{1}{a} +\frac{1}{b} =\frac{1}{c}, a+b=20, a, b, c are all positive. The value of c could be?

Indicate all such values.
The total amount that Mary paid for a book was equal to the price of the book plus a sales tax that was 4 percent of the price of the book. Mary paid for the book with a $10 bill and received the correct change, which was less than $3.00. Which of the following statements must be true?

Indicate all such statements.
20 boys and 40 girls are in Group A, while at least 7 boys, together with some girls are in Group B. To choose one person from each of the group, the probability that both are boys is no greater than \frac{1}{15}. Which of the following statements must be true?

Indicate all such statements.
If f(x)=2x+1, g(x)=2f(x)+1, then what is the value of g(2)?

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