Try the following SAT math question (No Calculator, Grid in question) that tests your understanding of how to simplify complex number expressions.

When $\dfrac{9+7i}{3-i}$ is expressed in the form $a+bi$, what is the value of $a$ ? (Note $i = \sqrt{-1}$)

 
Try the following SAT math question (No Calculator) that tests your understanding of the graph of parabolas in the coordinate plane.

$$ y = (x-r)(x-s)$$
The equation above represents the graph of a parabola in the $xy-$plane, where $r$ and $s$ are constants, and $r \neq s$. Which of the following represents the $x-$coordinate of the vertex of the parabola?

1. $\quad \dfrac{r-s}{2}$
2. $\quad \dfrac{r+s}{2}$
3. $\quad r-s$
4. $\quad r+s$

 
Try the following SAT math question (No Calculator) that tests your understanding of x-intercepts and factors of a polynomial function.

In the $xy$-coordinate plane, the three $x$-intercepts of the graph of the polynomial function $p$ are $-1, 0,$ and $2$. Which of the following is NOT a factor of $p$?

1. $\quad x^2-1$
2. $\quad x^2+x$
3. $\quad x^2-2x$
4. $\quad x^2-x-2$

 
Try the following SAT math question that tests an understanding of when functions are defined.

For what values of $a$ is the expression $\sqrt{9-a^2}$ a real number?

1. $\quad |a| \geq 9$
2. $\quad |a| \leq 9$
3. $\quad |a| \geq 3$
4. $\quad |a| \leq 3$

 
Try the following SAT math question that tests your understanding of simplifying complex number expressions.

$$ i^{10}+i^{11}+i^{12}+i^{13}$$
Which of the following is equivalent to the complex number expression shown above? (Note: $i =\sqrt{-1}$)

1. $\quad -1$
2. $\quad 0$
3. $\quad i$
4. $\quad 1$