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分式方程与有理函数进阶

\( \frac{\left(x+9\right)\left(x-9\right)}{x+9}=7 \) 
What is the solution to the given equation?
原库参考解析
Bluebook试题7 · 原库模块 1 · Q9作答 ↗
分式方程与有理函数基础

Which expression is equivalent to \( \frac{8x\left(x-7\right)-3\left(x-7\right)}{2x-14} \) , where \( x>7 \)?
原库参考解析
Bluebook试题9 · 原库模块 2 · Q6作答 ↗
分式方程与有理函数挑战

f(x) = x3 -9x
g(x) = x2 - 2x -3
Which of the following expressions is equivalent to \( \frac{f\left(x\right)}{g\left(x\right)} \) , for x > 3?
原库参考解析
Equivalent expressions · 原库模块 1 · Q13作答 ↗
分式方程与有理函数挑战

Which expression is equivalent to \( \frac{y+12}{x-8}+\frac{y\left(x-8\right)}{x^2y-8xy} \) ?
原库参考解析
Equivalent expressions · 原库模块 1 · Q16作答 ↗
分式方程与有理函数挑战

The equation \( \frac{x^2+6x-7}{x+7}=ax+d \) is true for all x\( ≠ \) -7, where a and d are integers. What is the value of a + d ?
原库参考解析
Equivalent expressions · 原库模块 1 · Q18作答 ↗
分式方程与有理函数挑战

Which of the following expressions is equivalent to \( \frac{x^2-2x-5}{x-3} \) ?
原库参考解析
Equivalent expressions · 原库模块 1 · Q19作答 ↗
分式方程与有理函数挑战

\( \frac{2}{x-2}+\frac{3}{x+5}=\frac{rx+t}{\left(x-2\right)\left(x+5\right)} \) 

The equation above is true for all x > 2 , where r and t are positive constants. What is the value of rt ?
原库参考解析
Equivalent expressions · 原库模块 1 · Q4作答 ↗
分式方程与有理函数挑战

Which expression is equivalent to \( \frac{4}{4x-5}-\frac{1}{x+1} \) ?
原库参考解析
Equivalent expressions · 原库模块 1 · Q7作答 ↗
分式方程与有理函数挑战

\( \frac{x^2-c}{x-b} \) 
In the expression above, b and c are positive integers. If the expression is equivalent to x + b and x \( ≠ \) b, which of the following could be the value of c ?
原库参考解析
Equivalent expressions · 原库模块 1 · Q8作答 ↗
分式方程与有理函数挑战

\( \frac{4x^2}{x^2-9}-\frac{2x}{x+3}=\frac{1}{x-3} \) 

What value of x satisfies the equation above?
原库参考解析
one variable and systems of equations in two variables · 原库模块 1 · Q36作答 ↗
分式方程与有理函数挑战

\( \frac{1}{x^2+10x+25}=4 \)

 If x is a solution to the given equation, which of the following is a possible value of x  +5 ?
原库参考解析
one variable and systems of equations in two variables · 原库模块 1 · Q5作答 ↗
分式方程与有理函数基础

The function \( f \) is defined by \( f\left(x\right)=\frac{16}{x} \). What is the value of \( f\left(x\right) \) when \( x=17 \)?
原库参考解析
PSAT 8/9 P2 · 原库模块 2 · Q7作答 ↗