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2020 PSAT Wednesday Test: Video explanations posted

January 29, 2021 Leave a Comment

 
I just published the playlist of videos that explain all of the math questions in the 2020 PSAT Wednesday Test that was administered on 14th October 2020.

Filed Under: PSAT

SAT math practice question: Percent change

January 8, 2021 2 Comments

 
Try the following SAT math practice question (Calculator permitted) that tests your understanding of percentage change.

The price of a share of stock $X$ increased by $25\%$ from $2010$ to $2012$ and then decreased by $15\%$ from $2012$ to $2014$. If the price of a share of stock $X$ was $\$84$ in $\underline{2012}$, what was the change in the price of a share of stock $X$ from $2010$ to $2014$?

  1. $\quad \textrm{Increase of $\$4.20$}$
  2. $\quad \textrm{Decrease of $\$4.20$}$
  3. $\quad \textrm{Increase of $\$8.40$}$
  4. $\quad \textrm{Decrease of $\$8.40$}$

Choice A


Video Explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Roots and fractional exponents

December 31, 2020 Leave a Comment

 
Try the following SAT math practice question (No Calculator) that tests your understanding of the relationship between roots and fractional exponents.

Which of the following is equivalent to $x^{\frac{4}{3}}$, where $x > 0$ ?

  1. $\quad x \sqrt[3]{x}$
  2. $\quad \sqrt[3]{x^4}$
  3. $\quad \sqrt[4]{x^3}$
  1. $\quad \textrm{I only}$
  2. $\quad \textrm{II only}$
  3. $\quad \textrm{I and II only}$
  4. $\quad \textrm{I and III only}$

Choice C


Video Explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Factoring trinomials with two variables

December 14, 2020 Leave a Comment

 
Try the following SAT math practice question (No Calculator) that tests your understanding of how to factor trinomials that have two variables.

The binomial $2x-3y$ is a factor of which of the following ?

  1. $\quad 2x^2-xy-6y^2$
  2. $\quad 2x^2+xy-6y^2$
  3. $\quad 2x^2-xy+3y^2$
  4. $\quad 2x^2+xy-3y^2$

Choice B

 

Filed Under: SAT Practice Questions

SAT math practice question: Right triangles and lengths

December 6, 2020 Leave a Comment

 
Try the following SAT math practice question (Calculator permitted) that tests your understanding of using the properties of right triangle to find the length of line segments.

In right triangle $ABC$ shown below, what is the length of line segment $DE$ ?


Note: Figure not drawn to scale

  1. $\quad 6.9$
  2. $\quad 7.2$
  3. $\quad 7.5$
  4. $\quad 8$

B

Video explanation

 

Filed Under: SAT Practice Questions

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