Here is the link to the playlist of videos that explain all of the math questions in the 2021 October SAT QAS.

## SAT math practice question: Maximum value of a function

Try the following SAT math practice question (No Calculator) that tests your understanding of how to find the maximum value of quadratic functions.

**Question**(No Calculator):

$$ f(x) = -3(x+2)^2 -4 $$

For the function $f$ given above, at what value of $x$ does the maximum value of function $f(x)$ occur?

- $\quad -4$
- $\quad -3$
- $\quad -2$
- $\quad -1$

**Video Explanation**

## SAT math practice question: Linear equations with no solution

Try the following SAT math practice question (Calculator Permitted) that tests your understanding of linear equations with one unknown that has no solutions.

**Question**(Calculator Permitted):

$$ m(5-3x) =9x-10 $$

In the equation above, $m$ is a constant. If no value of $x$ satisfies the equation, what is the value of $m$ ?

- $\quad -3$
- $\quad -2$
- $\quad -1$
- $\quad 0$

**Video Explanation**

## SAT math practice question: Straight line and intersections

Try the following SAT math practice question (Calculator Permitted, Grid in question) that tests your understanding of properties of straight lines in the coordinate plane.

**Question**: In the $xy-$plane, line $l$ has equation $y=\dfrac{1}{4}x+3$, and line $m$ has equation $y=\dfrac{1}{2}x+b$. If the lines intersect at the point with coordinates $\left(t, \dfrac{11}{2}\right)$, what is the value of $b$ ?

**Video explanation**

## SAT math practice question: Exponential functions

Try the following SAT math practice question (Calculator Permitted) that tests your understanding of properties of exponential functions.

**Question**(Calculator Permitted): If $g$ is an exponential function and the value of $g(x)$ triples each time $x$ is increased by $9$, which of the following could define $g$?

- $\quad g(x)=9^{x+18}$
- $\quad g(x)=9^{x}+18$
- $\quad g(x)=9^{\frac{x}{18}}$
- $\quad g(x)=9^{18x}$

**Video Explanation**

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