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#ACT MATH PRACTICE WITH EXPLANATION SERIES#
#ACT MATH PRACTICE WITH EXPLANATION FREE#

Thus, the equation 2 2x+7 = 2 15 can be simplified to 2x + 7 = 15. Because they are the same, the base of each exponent on both sides of the equation can be ignored. Exponents typically take the form of base exponent.

$act math practice with explanation$

This question may seem daunting due to its exponential form, but it can be easily broken down. This question tests your understanding of solving algebraic equations. Question 3, “2 2x+7 = 2 15.” The correct answer is “4.” Answer choice ⅓ can also be eliminated immediately because Hiroko is not one of the 3 officers which is represented in the ⅓ answer choice. Note, answer choices 0 can be eliminated right away because Hiroko is not an officer, meaning that his chances of being chosen as a representative are greater than 0. Since Hiroko is not an officer of the club, we know that he is included as one of the 32 possibilities, meaning that the probability of him being chosen is 1/32, which is the correct answer. Out of these 32 possible people, each person has the same chance of 1, since they are an individual, of being chosen randomly as the representative.

Next, determine the total number of possibilities.

Subtract 3 from 35 to find that there are only 32 possible people who can be representatives. We know that the History Club contains 35 members, but 3 of these are officers, who cannot be representatives for the club.

First, determine the total number of outcomes.

This question tests your understanding of probability, which is represented as a fraction where the number of possibilities of a certain event occurring (numerator) is divided by the total number of outcomes (denominator). Question 2, “History Club.” The correct answer is “1/32.” As such, 12 servings would be too many (wrong answer), and 8 servings would be too little (wrong answer), which would have easily highlighted 10 as the correct answer. Note, you could have also noticed that Marcus was “not quite doubling” the recipe, which originally made 6 servings. Since we found that each egg yields two servings, simply multiply 5 eggs by 2 servings to get 10 total servings for the new recipe, which is the correct answer.

Marcus is increasing the number of eggs from 3 eggs to 5 eggs.

We know that the original recipe calls for 3 eggs and makes 6 servings, meaning that each egg yields 2 servings (divide 6 servings by 3 eggs, which gives you 2 servings per egg).

First, find out how many servings each egg yields.

This question tests your understanding of ratios and proportions. Question 1, “Marcus’s favorite casserole.” The correct answer is “10.”

#ACT MATH PRACTICE WITH EXPLANATION FREE#

When you’re finished reviewing this official practice ACT test, start practicing with our own 10 full-length practice ACT tests-absolutely free during the pandemic. Writing Test Sample Essays from 2020 ACT Practice Test.

Science Answer Explanations from 2020 ACT Practice Test.Reading Answer Explanations from 2020 ACT Practice Test.

$act math practice with explanation$

Math Answer Explanations from 2020 ACT Practice Test (this article).

English Answer Explanations from 2020 ACT Practice Test.

#ACT MATH PRACTICE WITH EXPLANATION SERIES#

Other answer explanations in this series of articles: The ACT Math test explained below begins on page 24 of the guide. Please note that the 2020-2021 guide features the same practice test as the 2019-2020 guide. Below are answer explanations to the full-length Math test of the previously released ACT from the current 2020-2021 “Preparing for the ACT Test” (form 1874FPRE) free study guide available here from ACT for free.