2007 年

If $n$ is a positive integer, then $3^{2n}\cdot 4^{n}=$

$\dfrac{1}{n+3}-\dfrac{1}{3-n}=$

$(x+x)(y+y+y)=$

Let $x$ be the smaller one of two consecutive integers. If the sum of the squares of the two integers is less than three times the product of the two integers by $1$, then

Which of the following statements about the graph of $y=(x+1)^2-4$ is true?

The solution of $15\ge 4(x+2)-1$ is

The price of $6$ oranges and $3$ apples is $\$42$ while the price of $8$ oranges and $5$ apples is $\$60$. Find the price of an apple.

Let $f(x)=x^2-ax+2a$, where $a$ is a constant. If $f(-3)=29$, then $a=$

In the figure, the 1st pattern consists of $4$ dots. For any positive integer $n$, the $(n+1)$th pattern is formed by adding $4$ dots to the $n$th pattern. Find the number of dots in the 9th pattern.

If the bus fare is increased from $\$4$ to $\$5$, then the percentage increase of the fare is