\(\textbf{1)}\) 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. \( 1\frac{4}{15} \)
\(\textbf{2)}\) 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
\(\textbf{3)}\) What is the value of x?
\(\,\,\,\,\,\,\,\,\,\) a. \( 80^{\circ} \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 60^{\circ} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( \frac{80}{3}^{\circ} \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 25^{\circ} \)
\(\textbf{4)}\) 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\(^2\)
\(\textbf{5)}\) If \(2x+5y=20\) and \(\frac{2}{5}x+\frac{1}{2}y=3\), then \(x= \)
\(\,\,\,\,\,\,\,\,\,\) a. \( 2 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 3 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 4 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 5 \)
\(\textbf{6)}\) 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. \( 145 \)
\(\textbf{7)}\) 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. \( 20 \)
\(\textbf{9)}\) What is the 11th term in the following arithmetic sequence? 11, 22, 33
\(\,\,\,\,\,\,\,\,\,\) a. \( 111 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 121 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 99 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 110 \)
\(\textbf{10)}\) 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. \( 4 \)
\(\textbf{11)}\)The product of 2 positive odd numbers is
\(\,\,\,\,\,\,\,\,\,\) a. even and positive
\(\,\,\,\,\,\,\,\,\,\) b. even and neagative
\(\,\,\,\,\,\,\,\,\,\) c. odd and positive
\(\,\,\,\,\,\,\,\,\,\) d. odd and negative
\(\textbf{12)}\) 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
\(\textbf{13)}\) What is \(\tan B\)?
\(\,\,\,\,\,\,\,\,\,\) a. \( 60^{\circ} \)
\(\,\,\,\,\,\,\,\,\,\) b. \( \frac{12}{13} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 30^{\circ} \)
\(\,\,\,\,\,\,\,\,\,\) d. \( \frac{12}{5} \)
\(\textbf{14)}\) What is \(b\) in terms of \(c\) and \(a? \)
\(\,\,\,\,\,\,\,\,\,\) a. \( b=c+a \)
\(\,\,\,\,\,\,\,\,\,\) b. \( b=180-c+a \)
\(\,\,\,\,\,\,\,\,\,\) c. \( b=180-c-a \)
\(\,\,\,\,\,\,\,\,\,\) d. \( b=90+c+a \)
\(\textbf{15)}\) 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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