Problem 1
To find the perimeter \(P\) of a rectangle with length \(L\) and width \(W\), what is the correct formula? (A) \(P=L \times W \quad\) OR (B) \(P=2 L+2 W\)
Problem 1
Michele wants to design a floor that will have a length and width that add up to 30 feet. She also wants the area of the floor to be 216 square feet. What will the dimensions of the floor need to be? (A) 10 feet by 20 feet (B) 12 feet by 18 feet (C) 14 feet by 16 feet (D) 17 feet by 17 feet
Problem 1
Solve for \(\frac{12\left(\frac{5 x-2 x}{2}\right)}{6}\) (A) 24 (B) \(\frac{1}{4}\) (C) \(\frac{1}{4}\) (D) 6
Problem 2
Which of these statements is true? (A) An isosceles triangle is always equilateral. \(\quad\) OR (B) An equilateral triangle is always isosceles.
Problem 2
A rock is made up by volume of \(32 \%\) coal, which has a specific gravity (expressed in grams per cubic centimeter) of \(1.20\). The rock contains \(29 \%\) granite with a specific gravity of \(2.60\). The rock also contains \(39 \%\) of an unknown mineral. If the specific gravity of the entire rock is \(1.4\), the unknown material has what approximate specific gravity? (A) \(0.43\) (B) \(0.54\) (C) \(0.67\) (D) \(0.81\)
Problem 2
\(\left(\frac{n^{2}-n^{3}}{n^{4}}\right)^{-2}\) is equivalent to which of the following? (A) \(\frac{n^{4}}{1-2 n+n^{2}}\) (B) \(\frac{n}{n^{8}}\) (C) \(\frac{n^{4}}{1-2 n+n^{2}}\) (D) \(\frac{n^{2}}{1+4 n-n^{2}}\)
Problem 3
For the real integers \(x\) and \(y\), what must \(\frac{2 x+2 y}{4} \quad\) equal? (A) The mode of \(x\) and \(y\) (B) \(x^{2}+y^{2}\) (C) The arithmetic mean of \(x\) and \(y\) (D) The median of \(2 x\) and \(2 y\)
Problem 3
A train is traveling for 5 hours at a constant rate of \(x\) miles per hour and then travels an additional \(\frac{5}{13}\) hours at a speed of \(\frac{x}{2}\) miles per hour. If the train travels a total of 300 miles during these two segments, which equation could be used to solve for \(x ?\) (A) \(x^{2}+100 x-6,000=0\) (B) \(x^{2}+100 x-300=0\) (C) \(x^{2}+5 x-300=0\) (D) \(3 x^{2}+150 x-6,000=0\)
Problem 4
Factor: \(16 a^{2}-9 b^{2}\) (A) \((2 a+b)(a-b)\) (B) \(\quad(3 a+2 b)(6 a-3 b)\) (C) \(\quad(4 a+3 b)(4 a-3 b)\) (D) \(\quad(8 a+3 b)(2 a-3 b)\)
Problem 4
What is the \(y\) -intercept and slope of the line with the equation \(y=4 x+\) \(3 ?\) (A) y-intercept: 4 and slope: 3 OR (B) y-intercept: 3 and slope: 4
