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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 Leave a 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

SAT math practice question: Straight line, intercepts, and distance

July 19, 2021 Leave a Comment

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

In the $xy-$plane, the line with equation $y = 6 \; – \; \dfrac{3}{4}x$ intersects the $x-$axis and $y-$axis at the points $M$ and $N$, respectively. What is the length of line segment $\overline{MN}$?

$10$

Video Explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Absolute value inequality

July 12, 2021 Leave a Comment

 
Try the following SAT math practice question (Calculator permitted) that tests your understanding of absolute value inequalities.

Question(Calculator permitted): The temperature in a certain office does not deviate from $72^{\circ}F$ by more than $4^{\circ}F$. If $T$ is the temperature, in degrees Fahrenheit, in the office, which of the following represents all possible values of $T$?

  1. $\quad |T-4| \leq 72$
  2. $\quad |T-4| \geq 72$
  3. $\quad |T-72| \leq 4$
  4. $\quad |T-72| \geq 4$

Choice C

Video Explanation

 

Filed Under: SAT Practice Questions

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