The x value becomes 32, and the z value becomes 45. Solution: To start, let 0.80x = 260. Solution: Since the angles of a triangle add up to 180°, ∠ABE must equal 50°. On the number line shown, an object moves from A to B, from B to C, from C to D, and finally from D to E. What is the total distance the object moves? Solution: First, convert the dimensions of space to be covered to inches, and then find the area (10,368 inches2). Solution: Proper technique for squaring the expression—first times first, outside times outside, inside times inside, and last times last (FOIL)—yields the correct answer. Solution: Period 1 has 78 students, period 2 has 51 students, period 3 has 56 students, and period 5 has 49 students. Then distribute the a to all three terms. Factor out an x in the numerator, and you are left with 3x + 3; the numerator and denominator x’s cancel out. two parallel lines with positive slopes, D). ACT Math Practice Test with Explanation. Q14. Solution: To average 88 for five tests, one would need an aggregate score of 440. All trademarks are property of their respective owners. ACT Math Practice Test - ACT Math Test Prep, Guides and More Sasha ran 2 \frac13 miles on Monday, 3 \frac34 miles on Tuesday, and 5 \frac23 miles on Wednesday. The smaller one has a triangular face with an altitude of 10, and the larger one has a triangular face with an altitude of 15. Two triangular prisms are similar. The 190 men have an average age of 42, and the women have an average age of 37. Given the pair of equations A = 6C + 4 and B = –3C – 5, express the value of A in terms of B. The school owns 52 chairs, but 6 are broken. Repeat this process to solve for ∠BCF and ∠DCG, and then for ∠G. Which of the following inequalities describes the solution set for the inequality 25 – 6x ≥ 9? However, the graph is undefined at x = 0, so there is a hole in the graph at that value. Q20. What is the minimum number of bricks she must use to cover such an area? Q16. Solution: The tangent of an angle is found by dividing the opposite side by the adjacent side. Q29. What is the period of the function? Solution: The proper order of operations is to add the values inside the parentheses, square that value, and then multiply it by 3. It is designed to measure the mathematical skills that students typically acquire by the end of the 11th grade. Q28. Solution: Set each of the two factors, (x + a) and (x – a), equal to 0, and solve for x. Q27. 100), and add them (200). What two distinct integers should be placed in the blank spaces so that the difference between the four integers is the same? Solution: By setting the two equations equal to each other and solving for x, you find x = 4. Q43. The SAT is widely recognized as the more popular choice among the two exams; however, the ACT is swiftly catching up to the SAT’s lead. We have several challenging tests for your ACT Math practice. Q46. Wool socks cost $9.60 for a package of three pairs of socks. For the system of linear equations shown, which of the following would describe the graph of this system in a standard coordinate plane? Unless the problem states otherwise, you should assume that figures are not drawn to scale. If a marble is chosen at random from a bag that contains 16 blue marbles, 12 red marbles, 6 green marbles, and 10 white marbles, what is the probability that the marble chosen will NOT be blue? If you continue to use this site we will assume that you are happy with it. Solution: The period is found by measuring the distance the graph takes to complete one full curve from y = –1 to y = –1. If the lot measures 225 feet long and 165 feet wide, what is the length, in yards, of the fence? What is the approximate measurement, in feet, of the diagonal of this rectangle? How much money will Littleton Elementary School save while Mr Johnson is away? All material on this website is for reference purposes only and does not represent the actual format, pattern from respective official authority. For example, the 2015-16 test is identical to the 2016-17 and 2017-18 tests, and the 2018-2019 test is identical to the 2019-2020 and 2020-2021 tests. Instructions: Each practice test contains 20 questions. If sin a =- \frac45 and π < a < \frac{3π}{2} then then cos a =, Which of the following graphs would be the correct graph of the equation y = \frac{3x^2+3x}{x}. In the graph, the x-axis is intersected by the graph at π/2, 3π/2, 5π/2, 7π/2, and so on. Q39. ACT Math Test: Strategies and Concept Review. Then multiply the solution by 116%, or 1.16, to find the answer. Solution: If the area of the square is 256, then the length of one side is the square root of 256, or 16, and the radius of the circle is half of the length of the side of the square. Of the 504 girls in Radcliffe Day School, \frac38 are left-handed and \frac23 of those have brown hair. You will receive incredibly detailed scoring results at the end of your ACT Math practice test to help you identify your strengths and weaknesses. n circle C, shown here, a chord 32 inches long is 10 inches from the center of the circle. Take one of our many ACT Math practice tests for a run-through of commonly asked questions. A ladder is 16 feet long and reaches 10 feet up a wall. Which of the following is a solution to the quadratic equation x2 – 24x = 0? A mall has the shape and dimensions, in blocks, indicated in the diagram. 2y = –4x + 7 and 2y = 4x – 7. Solution: Multiply 504 times \frac38 (0.375), or divide 504 by 8 and then multiply that answer by 3. To date, a student has four test scores of 81, 87, 91, and 86. As shown here, Xs are arranged in a triangular pattern by adding two Xs to each additional row. There is a statue located halfway in between points E and B. Solution: The total cost of the three packages would be $28.80, and the total number of pairs of socks would be 9 + 1, or 10. You are allowed to use a calculator on this test for any problems you choose. Q15. To Stat the Quiz – Click on “Start Quiz Button” as shown below. There is a statue located halfway in between points E and B. How many miles in total did she run in those three days? If the ratio of x:y is 4:5, and the ratio of y:z is 8:9, what is the ratio of x:z? It's essentially another free complete ACT Math test with which you can study! What is the measure of angle G? The chart shows the current enrollment in classes at St. Middle School. What is the radius of the circle, to the nearest tenth of an inch? What is the equation of the circle? Solution: Use basic algebra and first subtract 7x from both sides, then subtract 24 from both sides. The area she wishes to cover measures 6 feet by 12 feet. This indicates a 3–4–5 right triangle, so the missing side is 3. *AP & SAT are registered trademarks of the College Board, which wasn't involved in the production of, and doesn't endorse this website. If the volume of the smaller prism is 4,000, what is the volume of the larger prism? 10 ACT math formulas you should know. Q13. What number can you add to the numerator and denominator of \frac{8}{13} to get 6? Q30. During which period do the fewest students take class? What is the average age, to the nearest year, of the residents of the town? A rectangle measures 32 yards by 46 yards. Hence you can not start it again. Solution: logx64 = 3 means x3 = 64, so x = 4. and then dividing both sides by 2/3. Q55. Q23. You can also prepare your math skill by reviewing the questions with solution. Solve for a in the second equation, and a = –2, and then plug that value into the first equation to solve for n. Solution: Plug (x + k) into the function 2x2 + 2 in place of x, then square (x + k), distribute the 2, and then add 2. Convert the answer to scientific notation.. Q42. If the same guitar was available online for $100, what percent could be saved by buying it at the store after the second markdown?