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题目内容
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

$$3^{-x}$$
6a+7b+8c=117

8a+7b+6c=121

For the system of equations shown, what is the value of a+b+c?

Solve the equation $$x^{3}$$-2$$x^{2}$$-5=$$x^{2}$$(x+3+10$$x^{-1}$$), 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?
$$x$$ and $$y$$ are real numbers and $$x+y \gt 1$$

Quantity A

$$x^{2}$$+$$y^{2}$$

Quantity B

$$1$$
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

$$\frac{x+y}{2}$$

Quantity A

$$\frac{111}{1,111}$$

Quantity B

$$\frac{1,111}{11,111}$$
Each student in a school takes either the French class or Spanish class, but not both. Each class has some male and some female students. The ratio of the number of female students to the number of male students is less for Spanish class than for French class.

Quantity A

The ratio of the number of female students to the number of male students in French class

Quantity B

The ratio of the number of female students to the number of male students in the school
$$\frac{1}{a}$$ +$$\frac{1}{b}$$ =$$\frac{1}{c}$$, 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.
What is the maximum possible number of interior angles that are right angles of a convex decagon (10-sided polygon)?
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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