Try the following SAT math question that deals with manipulating function expressions.

If $f(x)=x^2-x-1$, then $f(x+h)-f(x)$ equals

1. $\quad h^2 – h$
2. $\quad h(2x+h-1)$
3. $\quad 2xh-x-1$
4. $\quad 2xh+x-1$

 
Try the following SAT math question for the Revised SAT that deals with equation of circles in the coordinate plane and how to manipulate it to obtain the radius of the circle.

The equation of a circle in the $xy$-plane is shown below. What is the radius of the circle?
$$ 36x^2+36y^2-24x-36y=131 $$

1. $\quad \dfrac{1}{2}$
2. $\quad 1$
3. $\quad 2$
4. $\quad 4$

 
Try the following SAT math question for the Revised SAT on domain of functions.

What is the domain of the function $f$, defined as $f(x)=\dfrac{x}{1+x^2}$ ?

1. $\quad x \geq 0 $
2. $\quad -1 \leq x \leq 1$
3. $\quad \textrm{All real numbers}$
4. $\quad \textrm{All real numbers except $-1$}$

 
Try the following SAT math question for the Revised SAT that deals with linear equations and rearrangement of expressions:
$$R = \dfrac{7}{24}(F-32) + \dfrac{15}{2}$$
The formula above gives the conversion of temperature measured in Fahrenheit, $F$, to degrees Roemer, $R$. Which of the following equations could be used to convert temperatures from degrees Roemer to Fahrenheit?

1. $\quad F = \dfrac{24R-11}{7}$
2. $\quad F = \dfrac{4(6R+11)}{7}$
3. $\quad F = \dfrac{24R}{7}-11$
4. $\quad F = 3R+ \dfrac{19}{2}$