\(\textbf{1)}\) At a school, exactly 410 students are seniors. 40% of the students at the school are seniors. How many students attend the school in total?
\(\,\,\,\,\,\,\,\,\,\) a. \(850\)
\(\,\,\,\,\,\,\,\,\,\) b. \(1,025\)
\(\,\,\,\,\,\,\,\,\,\) c. \(1250\)
\(\,\,\,\,\,\,\,\,\,\) d. \(940\)

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\(\textbf{2)}\) For which ordered pair are the following true? \(x+2y \gt 3\) and \(2x-y \lt 0 \)
\(\,\,\,\,\,\,\,\,\,\) a. \((1,2)\)
\(\,\,\,\,\,\,\,\,\,\) b. \((3,4)\)
\(\,\,\,\,\,\,\,\,\,\) c. \((-1,2)\)
\(\,\,\,\,\,\,\,\,\,\) d. \((-3,4)\)

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\(\textbf{3)}\) The sum of 4 consecutive integers is 38. What is the value of the greatest of these 4 integers?
\(\,\,\,\,\,\,\,\,\,\) a. \(9\)
\(\,\,\,\,\,\,\,\,\,\) b. \(10\)
\(\,\,\,\,\,\,\,\,\,\) c. \(11\)
\(\,\,\,\,\,\,\,\,\,\) d. \(19\)

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\(\textbf{4)}\) If 45% of 200 is equal to 300% of x. What is x?
\(\,\,\,\,\,\,\,\,\,\) a. \(45\)
\(\,\,\,\,\,\,\,\,\,\) b. \(30\)
\(\,\,\,\,\,\,\,\,\,\) c. \(100\)
\(\,\,\,\,\,\,\,\,\,\) d. \(90\)

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\(\textbf{5)}\) If \(AC = AB\), and the length of \(AB\) is an integer, what is the smallest possible value of \(AB\)?
\(\,\,\,\,\,\,\,\,\,\)
\(\,\,\,\,\,\,\,\,\,\) a. \(3\)
\(\,\,\,\,\,\,\,\,\,\) b. \(4\)
\(\,\,\,\,\,\,\,\,\,\) c. \(5\)
\(\,\,\,\,\,\,\,\,\,\) d. There is no smallest value for \(AB\)

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\(\textbf{6)}\) What is the area of a 45-45-90 triangle with hypotenuse 6 ft?
\(\,\,\,\,\,\,\,\,\,\) a. \(6 \) ft\(^2\)
\(\,\,\,\,\,\,\,\,\,\) b. \(12\) ft\(^2\)
\(\,\,\,\,\,\,\,\,\,\) c. \(9\) ft\(^2\)
\(\,\,\,\,\,\,\,\,\,\) d. \(36\) ft\(^2\)

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\(\textbf{7)}\) The sum of 2 numbers is 15. Their difference is 5. What is their product?
\(\,\,\,\,\,\,\,\,\,\) a. \(10\)
\(\,\,\,\,\,\,\,\,\,\) b. \(15\)
\(\,\,\,\,\,\,\,\,\,\) c. \(50\)
\(\,\,\,\,\,\,\,\,\,\) d. \(150\)

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\(\textbf{8)}\) If \(\frac{x}{y}=3\) and \(y=2x-10\), what is \(xy\)?
\(\,\,\,\,\,\,\,\,\,\) a. \(3\)
\(\,\,\,\,\,\,\,\,\,\) b. \(6\)
\(\,\,\,\,\,\,\,\,\,\) c. \(9\)
\(\,\,\,\,\,\,\,\,\,\) d. \(12\)

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\(\textbf{9)}\) In a store, the ratio of hats to shirts is 4:5. After 4 hats are taken away the new ratio is 3:5. How many shirts are in the store?
\(\,\,\,\,\,\,\,\,\,\) a. \(12\)
\(\,\,\,\,\,\,\,\,\,\) b. \(15\)
\(\,\,\,\,\,\,\,\,\,\) c. \(18\)
\(\,\,\,\,\,\,\,\,\,\) d. \(20\)

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\(\textbf{10)}\) The length of a rectangle is 4 times the width, what is the ratio of the width to the perimeter?
\(\,\,\,\,\,\,\,\,\,\) a. \(1:5\)
\(\,\,\,\,\,\,\,\,\,\) b. \(1:10\)
\(\,\,\,\,\,\,\,\,\,\) c. \(1:4\)
\(\,\,\,\,\,\,\,\,\,\) d. \(1:8\)

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\(\textbf{11)}\) A box contains only blue and red marbles. There are 200 marbles in the box. 3/5 of the marbles are blue. How many red marbles are there?
\(\,\,\,\,\,\,\,\,\,\) a. \(100\)
\(\,\,\,\,\,\,\,\,\,\) b. \(120\)
\(\,\,\,\,\,\,\,\,\,\) c. \(60\)
\(\,\,\,\,\,\,\,\,\,\) d. \(80\)

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\(\textbf{12)}\) What is the greatest common factor of 30, 45, and 150?
\(\,\,\,\,\,\,\,\,\,\) a. \(5\)
\(\,\,\,\,\,\,\,\,\,\) b. \(10\)
\(\,\,\,\,\,\,\,\,\,\) c. \(15\)
\(\,\,\,\,\,\,\,\,\,\) d. \(300\)

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\(\textbf{13)}\) What is the cosine of B?
\(\,\,\,\,\,\,\,\,\,\)
\(\,\,\,\,\,\,\,\,\,\) a. \(\frac{1}{2}\)
\(\,\,\,\,\,\,\,\,\,\) b. \(\frac{5}{13}\)
\(\,\,\,\,\,\,\,\,\,\) c. \(\frac{12}{13}\)
\(\,\,\,\,\,\,\,\,\,\) d. \(\frac{5}{12}\)

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\(\textbf{14)}\) A triangle has one side length x and another side length 5x. Which of the following could be a length of the third side?
\(\,\,\,\,\,\,\,\,\,\) a. \(x\)
\(\,\,\,\,\,\,\,\,\,\) b. \(3x\)
\(\,\,\,\,\,\,\,\,\,\) c. \(5x\)
\(\,\,\,\,\,\,\,\,\,\) d. \(7x\)

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\(\textbf{15)}\) This symbol represents the following.
\(\,\,\,\,\,\,\,\,\,\)

What is the value of x in the following?
\(\,\,\,\,\,\,\,\,\,\)

\(\,\,\,\,\,\,\,\,\,\) a. \(5\)
\(\,\,\,\,\,\,\,\,\,\) b. \(7\)
\(\,\,\,\,\,\,\,\,\,\) c. \(9\)
\(\,\,\,\,\,\,\,\,\,\) d. \(11\)

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In Summary…

The SAT and ACT are standardized tests that are often required for college admissions in the United States. Preparing for these exams can be stressful, but there are many resources available to help students succeed. One effective way to prepare is to take a test prep course, which can provide structured instruction and practice materials. There are also many online resources, such as practice tests and study guides, that can help students improve their scores. It’s important to start preparing early and to practice consistently in order to see the best results. In addition, it can be helpful to work with a tutor or teacher who can provide personalized feedback and support. Finally, it’s important to manage test anxiety and stay focused on the task at hand. With the right preparation and mindset, students can feel confident and prepared for the SAT or ACT.