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SAT math practice question: Algebraic fractions and polynomials

April 21, 2021 Leave a Comment

 
Try the following SAT math practice question (No Calculator) that tests your ability to deal with polynomials and algebraic fractions.
$$ \dfrac{2x^2+x}{x+2} $$
The expression above can be rewritten in the form $M + \dfrac{6}{x+2}$, where $M$ is a polynomial. Which of the following represents $M$?

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

Choice B


Video Explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Factoring and simplifying expressions

April 7, 2021 Leave a Comment

 
Try the following SAT math practice question (No Calculator) that tests your ability to manipulate and factor algebraic expressions in an efficient manner.

Which of the following is equivalent to the expression $(2x-4)^2 – 2(x-2)$ ?

  1. $\quad 2(x-2)(2x-3)$
  2. $\quad 2(x-2)(2x-5)$
  3. $\quad 4(x-2)(x-3)$
  4. $\quad 4(x-2)(x-5)$

Choice B


Video Explanation

 

Filed Under: SAT Practice Questions

2021 March SAT QAS Test: Video explanations posted

March 29, 2021 2 Comments

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


Filed Under: Official SAT Tests, SAT QAS

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

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