\(\textbf{1)}\) Evaluate \(x – y\) if \(x=2\frac{3}{5}\) and \(y=1\frac{1}{3}\).
\(\,\,\,\,\,\,\,\,\,\) a. \( 1\frac{2}{5} \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 1\frac{3}{15} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 1\frac{2}{3} \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 1\frac{4}{15} \)

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\(\textbf{2)}\) Express 6 apples for $15 as a unit rate.
\(\,\,\,\,\,\,\,\,\,\) a. \( $.25 \) per apple
\(\,\,\,\,\,\,\,\,\,\) b. \( $2.50 \) per apple
\(\,\,\,\,\,\,\,\,\,\) c. \( $2.25 \) per apple
\(\,\,\,\,\,\,\,\,\,\) d. \( $.40 \) per apple

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\(\textbf{3)}\) What is the value of x?

\(\,\,\,\,\,\,\,\,\,\) a. \( 80^{\circ} \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 60^{\circ} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( \frac{80}{3}^{\circ} \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 25^{\circ} \)

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\(\textbf{4)}\) A triangle has points \((3,4), (7,4)\), and \((3,7)\). What is the area of the triangle?
\(\,\,\,\,\,\,\,\,\,\) a. \( 4 \) units\(^2\)
\(\,\,\,\,\,\,\,\,\,\) b. \( 5 \) units\(^2\)
\(\,\,\,\,\,\,\,\,\,\) c. \( 6 \) units\(^2\)
\(\,\,\,\,\,\,\,\,\,\) d. \( 8 \) units\(^2\)

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\(\textbf{5)}\) If \(2x+5y=20\) and \(\frac{2}{5}x+\frac{1}{2}y=3\), then \(x= \)
\(\,\,\,\,\,\,\,\,\,\) a. \( 2 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 3 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 4 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 5 \)

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\(\textbf{6)}\) If the average of six numbers is 100, and the average of four of these numbers is 80, what is the average of the other two numbers?
\(\,\,\,\,\,\,\,\,\,\) a. \( 100 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 120 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 140 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 145 \)

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\(\textbf{7)}\) If \( A= \left[ {\begin{array}{cc} 3 & -4 \\ -2 & 5 \\ \end{array} } \right] \) and \( B= \left[ {\begin{array}{cc} -2 & 4 \\ -1 & 2 \\ \end{array} } \right] \), what is \(A-B\,?\)

\(\,\,\,\,\,\,\,\,\,\) a. \( \left[ {\begin{array}{cc} 1 & 0 \\ -3 & 7 \\ \end{array} } \right] \)

\(\,\,\,\,\,\,\,\,\,\) b. \( \left[ {\begin{array}{cc} 5 & -8 \\ -3 & 3 \\ \end{array} } \right] \)

\(\,\,\,\,\,\,\,\,\,\) c. \( \left[ {\begin{array}{cc} 5 & -8 \\ -1 & -3 \\ \end{array} } \right] \)

\(\,\,\,\,\,\,\,\,\,\) d. \( \left[ {\begin{array}{cc} 5 & -8 \\ -1 & 3 \\ \end{array} } \right] \)

\(\textbf{8)}\) If a unique number is chosen from each of the sets below, what is the largest possible sum of the numbers selected?
{1,2,6} {2,3,6} {3,4,6} {4,5,6}
\(\,\,\,\,\,\,\,\,\,\) a. \( 16 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 18 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 19 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 20 \)

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\(\textbf{9)}\) What is the 11th term in the following arithmetic sequence? 11, 22, 33
\(\,\,\,\,\,\,\,\,\,\) a. \( 111 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 121 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 99 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 110 \)

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\(\textbf{10)}\) A circle has area \(R\) meters\(^2\) and circumference \(R\) meters. What is the diameter of the circle?
\(\,\,\,\,\,\,\,\,\,\) a. \( 1 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( \frac{R}{2} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( \sqrt{R} \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 4 \)

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\(\textbf{11)}\)The product of 2 positive odd numbers is
\(\,\,\,\,\,\,\,\,\,\) a. even and positive
\(\,\,\,\,\,\,\,\,\,\) b. even and neagative
\(\,\,\,\,\,\,\,\,\,\) c. odd and positive
\(\,\,\,\,\,\,\,\,\,\) d. odd and negative

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\(\textbf{12)}\) Two cars started at the same place. One car going north traveled 10 mph for 4 hours. The other car traveled east at 15 mph for 2 hours. How far apart are the cars?
\(\,\,\,\,\,\,\,\,\,\) a. \( 25 \) miles
\(\,\,\,\,\,\,\,\,\,\) b. \( 35 \) miles
\(\,\,\,\,\,\,\,\,\,\) c. \( 50 \) miles
\(\,\,\,\,\,\,\,\,\,\) d. \( 70 \) miles

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\(\textbf{13)}\) What is \(\tan ⁡B\)?

\(\,\,\,\,\,\,\,\,\,\) a. \( 60^{\circ} \)
\(\,\,\,\,\,\,\,\,\,\) b. \( \frac{12}{13} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 30^{\circ} \)
\(\,\,\,\,\,\,\,\,\,\) d. \( \frac{12}{5} \)

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\(\textbf{14)}\) What is \(b\) in terms of \(c\) and \(a? \)

\(\,\,\,\,\,\,\,\,\,\) a. \( b=c+a \)
\(\,\,\,\,\,\,\,\,\,\) b. \( b=180-c+a \)
\(\,\,\,\,\,\,\,\,\,\) c. \( b=180-c-a \)
\(\,\,\,\,\,\,\,\,\,\) d. \( b=90+c+a \)

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\(\textbf{15)}\) Two similar figures have perimeters of \(12\) ft and \(36\) ft. The Area of the smaller figure is \(10\) ft\(^2\), what is the area of the larger figure?
\(\,\,\,\,\,\,\,\,\,\) a. \( 30 \) ft\(^2\)
\(\,\,\,\,\,\,\,\,\,\) b. \( 3 \) ft\(^2\)
\(\,\,\,\,\,\,\,\,\,\) c. \( 60 \) ft\(^2\)
\(\,\,\,\,\,\,\,\,\,\) d. \( 90 \) ft\(^2\)

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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.