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You are here: Home / Archives for 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

SAT math practice question: Parabolas and intersections

July 2, 2020 Leave a Comment

 
Try the following SAT math practice question (No Calculator) that tests your understanding of parabolas and intersections in the $xy-$plane.

$$ h(x) = -2(x-3)^2 + 50 $$
In the $xy-$plane, the graph of the quadratic function $h(x)$ intersects the $x-$axis at the points $(a, 0)$ and $(b, 0)$, where $a$ and $b$ are constants. What is the value of $a+b$?

  1. $\quad -10$
  2. $\quad -6$
  3. $\quad 6$
  4. $\quad 10$

C

Video explanation

Filed Under: SAT Practice Questions

SAT math practice question: Factoring quadratic equations

March 17, 2020 Leave a Comment

 
Try the following SAT math question (No Calculator, Grid in question) that tests your understanding of how to factor quadratic equations on the SAT.

$$ 6x^2 – 13x + 6 =0 $$
What is a solution to the given quadratic equation?

$\dfrac{2}{3}$ or $\dfrac{3}{2}$

Filed Under: SAT Practice Questions

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