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You are here: Home / Archives for SAT Practice Questions

SAT math practice question: Functions

December 19, 2022 Leave a Comment

 
Try the following SAT math practice question (No Calculator, Grid in question) that tests your understanding of evaluating functions.

Let $f$ be a function for which $f(x-1)=-3f(x)+2$ for all values of $x$. If $f(2)=3$, what is the value of $f(0)$?

$23$

Video Explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Roots and fractional exponents

November 14, 2022 Leave a Comment

 
Try the following SAT math practice question (No Calculator) that tests your ability to simplify and manipulate arithmetic terms with roots and fractional exponents.

Which of the following is equivalent to $(\sqrt[3]{48})(\sqrt{54})$ ?

  1. $\quad 6 \sqrt[6]{6^5}$
  2. $\quad 6 \sqrt[5]{6^6}$
  3. $\quad \sqrt[6]{6^{11}}$
  1. $\quad \textrm{I only}$
  2. $\quad \textrm{III only}$
  3. $\quad \textrm{I and III only}$
  4. $\quad \textrm{II and III only}$

Choice C

Video Explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Factors of an expression

October 9, 2022 Leave a Comment

 
Try the following SAT math practice question (No Calculator) that tests your understanding of factorization of algebraic expressions commonly tested on the SAT.

Question(No Calculator):

Which of the following expression is NOT a factor of $x^4 – 13x^2 + 36$ ?

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

D

Video Explanation

 

Filed Under: SAT Practice Questions

SAT math practice question: Factors of algebraic terms

August 4, 2022 Leave a Comment

 
Try the following SAT math practice question (No Calculator) that tests your understanding of factorization and algebraic identities.

Question(No Calculator):

Which of the following must be a factor of both $x^4-y^4$ and $x^3y – x y^3$ ?

  1. $x + y$
  2. $x^2 – y^2$
  3. $(x-y)^2$
  1. $\quad \textrm{II only}$
  2. $\quad \textrm{I and II only}$
  3. $\quad \textrm{I and III only}$
  4. $\quad \textrm{I, II, and III}$

B

 

Filed Under: SAT Practice Questions

SAT math practice question: Circles in coordinate plane

July 21, 2022 Leave a Comment

 
Try the following SAT math practice question (Calculator Permitted) that tests your understanding of circles in the coordinate plane.

Question(Calculator Permitted):

In the $xy-$plane, point $A$ has coordinates $(3, 3)$ and point $B$ has coordinates $(-3, 3)$. Which of the following points is on the circle with center $A$ and radius $\overline{AB}$?

  1. $\quad (-9, 3)$
  2. $\quad (-3, -3)$
  3. $\quad (0, 3)$
  4. $\quad (3, 9)$

D

Video Explanation

 

Filed Under: SAT Practice Questions

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