Saturday, April 10, 2021

Mathematics Test 2 Act Answers

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    Educated Guessing You can make an educated guess when you: understand the gist of a question, but don't have the time to work through it completely, don't quite know how to work through a question completely, or you're torn between a few answer...

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    This means we can eliminate answer choices A and E immediately. Spoiler alert: D is the right answer. Blind Guessing But let's say you've come up against a question and you have absolutely no clue where to begin. Or maybe you've got ten seconds left...

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    And computers are very good at being random. This means that the answer choices will have a statistically even distribution of 1 in 4 for each answer choice letter or 1 in 5 on the math section : there is no most common answer on the ACT. So, ultimately, guessing C or any letter! Which means it's NOT true that choosing C will give you a better rate of success than choosing any other letter for your blind guessing. So How Should You Guess? If C isn't the most common answer on the ACT, then which letter should you guess?

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    The truth is that it doesn't matter which letter you pick, only that you stick to the one you choose. The best strategy, and the one that will maximize your overall point gain, is to pick your favorite letter and fill it in for every blind guess. Just be sure to stick with it every single time. Just don't expect C to be any better an answer choice than A, B, or D. But maybe you're thinking that sounds completely illogical. Why should you fill in the same letter over and over? Your overall score will improve if you stick to choosing the same letter again and again when making blind guesses. This is because people are never truly random. But by sticking to your designated letter when making blind guesses, you are re-introducing an element of randomness. You have 15 questions left to go and only a few seconds to bubble in your answers. You are left with two options: make a random guess spread, or fill in every letter with the same answer choice.

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    Note: for our random spread, we tried to guess as randomly as we could without looking at the answer key, and for our consistent letter, we simply went with C.

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    We do this by solving for y. Next, we divide each side by 7 to get. From here, we can see that the value of m is equal to , which is the correct answer. Note: you can skip one of the intermediate steps here. Since we know that we simply want to find m, which is the coefficient of x, we can divide each side by 7 to find the slope without subtracting 5 from each side first. This question can be solved by a process of elimination and by substituting possible values for m and n to see whether their sum is even or odd. The integer n can either be even suppose a value of 2 or odd suppose a value of 3. Thus, this answer choice can be eliminated because the sum of two even integers will never yield an odd integer. Utilizing this knowledge, we could have skipped the process of elimination of the other 4 answer choices, instead arriving immediately at the conclusion that the sum of odd integer m and even integer n will always give an odd integer.

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    In order to find the distance from point A to the midpoint of AB, we must find the length of AB, which is also the hypotenuse of this right triangle. The hypotenuse can be found using the pythagorean theorem: where c is the longest side of the triangle, aka the hypotenuse. Next, we can find the hypotenuse of the triangle ABC by plugging these values into the equation and solving for c. Plugging in the values gives which can be simplified into. This can be further simplified into , and we can solve for c by taking the square root of each side. To find the distance between point A and the midpoint of AB, we simply divide the length of AB, 40, by 2 to get 20, which is the correct answer.

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    We know that the pythagorean theorem only applies to right triangles. In order to find the third side of a non-right triangle, we could use the law of cosines: , where D is the angle at point D and e, f, and d are the lengths of the triangle sides opposite to their corresponding angles of E, F, and D. However, we are not given any of the angles in this triangle. Therefore, we cannot use the law of cosines, and we are unable to determine the length of DF from the given information.

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    We know that Laura only plans on painting the side walls of her room, not her ceiling or her floor. However, we must subtract the area of her window and door, 60 square feet, from the area of her walls in order to find the area that she plans to paint. Note: this question can be more easily understood by drawing a rectangular prism to see which walls Laura plans to paint. The length of this rectangle is 5 inches longer than the width. This can be represented by the expression. We can find the width of the rectangle by plugging in the expression for l, which gives , and solving for w. We know that the perimeter of the rectangle is 40 inches, and plugging in this value gives. In order to solve this equation, divide each side by 2 to get. Then, subtract 5 from each side to get.

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    Finally, by dividing each side by 2 in order to solve for w, you should get , which is the correct answer. Multiplying out these numbers gives , which is the correct answer. We can solve this problem by setting up an inequality. This can be represented by. Divide each side of the inequality by 14 to get. This means that Armin must go to at least Thus, we can rewrite as 4. This gives us the expression. The quotient rule of exponents states that. We can apply this rule to get. If line segment AB is a diameter of the circle, then it must pass through the center C. From this, we know that the distance between C and A is the same as the distance between C and B. We can begin to solve this problem by finding the slope of the line between point C -1,2 and point A 2,6. The slope of the line between C and B is the same as the slope of the line between C and A.

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    This is represented as , which can be simplified into -4,-2 , which is the correct answer. Both terms in are perfect cubes, so this expression can be interpreted as the difference of two cubes. The factoring of a difference of cubes is given by the formula. From this, we can figure out that. This can be simplified to. The only answer choice that fits either of these terms is , which is the correct answer. The average of a list of values is equal to the total sum of these values numerator divided by the number of items in the list denominator.

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    Because the first 3 numbers are the same in each list, we can combine the values of each of these numbers and represent them as x. The average of the first list can be written as. In order to find the new average, we must first solve for x so that we can plug it into our equation for the new average. In order to solve for x, we must multiply both sides of the first equation by 4 to get. After subtracting 80 from , we find that We can solve for the new average by plugging this value into the equation , which gives. This can be further simplified into. This gives us a final value of , which is the correct answer. The value of a is The location of can be determined by finding the value of. This can be simplified to give. Thus, the correct answer choice is the one where corresponds to 6. If Maria only ate of the pizza and gave the rest to her brothers, then her 3 brothers were given of a pizza.

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    To determine the fraction of the whole pizza that each brother will receive when split equally, we must divide into 3 parts. When multiplying fractions, you multiply the numerators together and the denominators together. This gives us , which is the correct answer. To find the prime factorization of 30,, first divide 30, by 1, to get This means that. Since we know that the prime factorization of 1, is , we can plug this in for the prime factorization of 30, This gives us.

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    To find the prime factorization of 30, first divide 30 by 2, the smallest prime number that is also a factor of From here, we know that the prime factors of 30 are. We can plug these values into the prime factorization of 30, The park is in the shape of a trapezoid. The bases of a trapezoid are the two uneven, parallel sides of the trapezoid, while the height of a trapezoid is the distance between the two bases. We can find the area of the drawing of the park by plugging these values into the equation for the area of a trapezoid.

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    Thus, we get , which can be simplified into. This can be further simplified into , which gives us Thus, the area of the drawing of the park is square inches, which is the correct answer. To find the perimeter of the scale drawing, we must find the length of the unknown leg. We can divide the drawing of the park into a right triangle and a rectangle with an imaginary line that is parallel to its altitude which is also the height of 16 inches. The hypotenuse of this right triangle is the length of the unknown leg.

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    The length of the other leg is given by 40 inches minus 28 inches, which gives us 12 inches. We can use the Pythagorean theorem to find the hypotenuse, c, of the triangle. It is easier to simplify the legs of the two triangles by dividing each value by 4, which gives us that the two triangle legs are 4 inches and 3 inches. Plugging these values into the Pythagorean formula, we get. This can be simplified into. Adding these values together gives us , and taking the square root of each side gives us that. However, this is not the actual hypotenuse of the right triangle.

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    We must multiply by 4 because we had previously scaled down the triangle to make the math easier. After scaling the hypotenuse back up, we find that inches. To find the perimeter of the drawing of the park, we simply have to add 20 inches to the lengths of the other sides of the drawing. However, the question is asking for the perimeter, in feet, of the actual park, not the scale drawing of the park. We must multiply the perimeter of the scale drawing, inches, by the conversion factor to get the perimeter of the park in feet. Multiplying by 1. Although the question asks about the lengths of the park, we know we can use the lengths of the scale drawing to answer this question because they are both scaled by the same factor. The length of the south side of the park is 40 inches.

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    The length of the north side of the park is 28 inches. We can set up an equation to find the fraction of the length of the north side that is equivalent to the length of the south side. Plugging in the values of the length of the sides, we get the equation. This can be simplified by dividing each side by 28 to get. We can further simplify this fraction by dividing both the numerator and the denominator by 4, their greatest common factor, to get.

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    Read each question carefully to make sure you understand the type of answer required. If you choose to use a calculator, be sure it is permitted, is working on test day, and has reliable batteries. Use your calculator wisely. Locate your solution among the answer choices. Make sure you answer the question asked. Make sure your answer is reasonable. Check your work. Calculator Tips Review the latest information on permitted and prohibited calculators.

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    You are not required to use a calculator. All the problems can be solved without a calculator. If you regularly use a calculator in your mathematics work, use one you're familiar with when you take the mathematics test. Using a more powerful, but unfamiliar, calculator is not likely to give you an advantage over using the kind you normally use. Click on letter choices below to view the correct answer and explanations. For full interaction with the Practice, please view this page on a tablet or desktop device. Section 1 - 5 of 30 Math.

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    Even repeating an identical act at a different time can make a difference due to changing social, technological, or other surrounding circumstances. Jane studied birds at the zoo. Act practice test. In addition, scholarships and funding often depend on ACT scores. If you answered 61 questions. Prepare with our free materials. The progression system keeps your scores, test times, and personal growth so you can see your own progression. Please take a moment to complete this quiz. Section 1: Reading Test. Then mark your choice on your answer sheet. Practice exam technique and try to become more familiar with the types of test you may face by completing practice questions. British Citizenship Test. Explanation helps preparing tests very effective way! At the end of the test, hand in both this question paper and your answer sheet. I will do this under timed conditions. The practice test consists of 10 multiple-choice questions that are derived from the BBP provider handbook.

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    Exam 2 Fall Practice Exams. Find answers to commonly asked questions about Affordable Care Act ACA tax provisions for individuals, families, employers and organizations. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. Source s : Direct knowledge 2 0. CDL Practice Test. Take this free CNA practice test to get a sample of the types of questions on an actual Nursing For complete practice, try the CNA Practice Exam Kit with questions, fully explained answers Repositioning, applying skin barrier cream, and minimizing skin contact with urine or stool act as.

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    Teachers can assign numerical values to each student as a login, if that is preferred. You may use your calculator for any problems you choose, but some of the problems may. Try our practice tests for free or sign up for one of our comprehensive test preparation packages. The best answer is A. For this portion of the ACT test, the college readiness barometer starts at a score of You should carefully read this material, then answer the questions. The CDL general knowledge test is a mandatory test all truck drivers must take. Looking to take the ACT for a spin? This can be seen most clearly when Falvo admonishes the newest runner to control. A vocabulary-building tool to conquer the extensive reading required on the ACT.

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    Step 2: Check your answers with the following videos. Take this test in one sitting. Refer to the passage as often as necessary to answer the questions. Equal Employment Opportunity Commission and U. The answer key is great. For example, We are currently 17th highest achievers in England but if we really try hard this. The following errors have been fixed for all official copies purchased after Feb 22nd, See how much you know about Hamlet Act 2, take the quiz. You will want to work through as many practice questions as possible before your exam. It provides the best punctuation for the underlined portion. The testing battery has been specially designed to weigh what the test taker knows. The following ACT practice tests are totally free. Taking the SAT is the best way to show colleges you have the skills and knowledge they want most. The online practice tests are not available for printing or scoring.

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    ACT Test 1 Answers. You can start playing for free! Balance the chemical equations by selecting coefficients from the pull-down menus. If you do not know the answer, you should make an educated guess. Students can participate in this ACT review question and it will help their better practice preparation. Employers and educational systems often turn to ACT WorkKeys to assess applicant and student readiness for specific jobs, promotions, high school graduation, and university entrance.

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    Questions from the math portion of the Official ACT practice test are answered and explained in this video. Check out the practice test questions and answers below to put your mind at ease. Fair use is decided on a case by case basis, on the entirety of circumstances. How does The UMC work to ensure the health of mind, body and spirit for those around the globe? Choice A is the best answer.

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