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ACT Math Practice Question: Unit conversions with Algebraic Translation

November 7, 2015 Leave a Comment

Try this ACT math practice question on factors of a quadratic expression:

The cost of a nylon rope is $p$ dollars per foot. Which of the following expressions gives the cost, in dollars, of $y$ yards and $f$ feet of nylon rope $\textrm{(Note: 1 yard equals 3 feet)}$ ?

  1. $\quad p(3y+f)$
  2. $\quad p(y+3f)$
  3. $\quad p(\dfrac{y}{3} + f)$
  4. $\quad p(y+\dfrac{f}{3})$
  5. $\quad 3p(y+f)$

Choice A

ACT to update the Real ACT Prep Guide for 2016

October 9, 2015 Leave a Comment

The Real ACT Guide 3rd Edition was released in 2011 and an update from ACT has long been overdue. The current edition of the official guide, also called the Red Book, has five full length practice tests. The problem is that the bulk of the tests are from old administration of ACT tests, for example the last two tests in the guide are from 2008 and 2009, and the first three tests are even older than those dates. In many ways the guide has become obsolete and ACT needs to release an updated version with at least ten tests, similar to the official guide for the SAT test.

ACT in one of its tweets announced that it plans to update the Real ACT Prep Guide sometime next year in 2016. The exact date has not been announced yet.

ACT Practice Question: Absolute Value Inequality

September 17, 2015 Leave a Comment

The practice problem below tests your understanding of absolute value inequalities and how it relates to the geometric interpretation on the number line.

The solution set of $|x-a| \leq 3$ is the set of all real numbers $x$ such that:

  1. $\quad a-3 \leq x \leq a+3$
  2. $\quad x \leq a-3 \quad \textrm{or} \quad x \geq a+3$
  3. $\quad x \geq a-3 $
  4. $\quad x \leq a+3$
  5. $\quad -a-3 \leq x \leq -a+3$

Choice A

ACT Practice Question: Problem Solving Skill

August 12, 2015 Leave a Comment

Try this ACT math practice question that tests your general problem solving skill.

99 people are sitting in 23 vans. Each van can seat at most 6 people. What is the greatest possible number of vans with exactly one person sitting in it?

  1. $\quad 6$
  2. $\quad 7$
  3. $\quad 8$
  4. $\quad 9$
  5. $\quad 10$

Choice B

2015 June ACT Form 73C: Video Explanations

July 28, 2015 Leave a Comment

I just uploaded video explanations to all of the math questions in the 2015 June ACT Form 73C Test.

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