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SAT math practice question: Maximum value of a function

September 28, 2021 Leave a Comment

 
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?

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

C

Video Explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Linear equations with no solution

August 20, 2021 Leave a Comment

 
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 $m$ ?

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

A

Video Explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Straight line and intersections

August 10, 2021 Leave a Comment

 
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 $b$ ?

$\dfrac{1}{2}$

Video explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Exponential functions

August 3, 2021 1 Comment

 
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 $g$?

  1. $\quad g(x)=9^{x+18}$
  2. $\quad g(x)=9^{x}+18$
  3. $\quad g(x)=9^{\frac{x}{18}}$
  4. $\quad g(x)=9^{18x}$

C

Video Explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Properties of parabolas

July 26, 2021 Leave a Comment

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

Question(No Calculator): In the $xy$-coordinate plane, $A$ and $B$ are different points that have the same $y$-coordinate and lie on the parabola whose equation is $y = x^2-3x-20$. What is the $x$-coordinate of the midpoint of $\overline{AB}$ ?

  1. $\quad 0$
  2. $\quad \displaystyle \frac{1}{2}$
  3. $\quad 1$
  4. $\quad \displaystyle \frac{3}{2}$

D

Video Explanation

 

Filed Under: SAT Practice Questions

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