\(\textbf{1)}\) Evaluate \(5 \cdot 8 – 2n\) if \(n = 4. \)
\(\,\,\,\,\,\,\,\,\,\) a. \( 32 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 34 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 0 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 12 \)
\(\,\,\,\,\,\,5 · 8 – 2n\)
\(\,\,\,\,\,\,5 · 8 – 2(4)\)
\(\,\,\,\,\,\,40 – 8\)
\(\,\,\,\,\,\,32\)
\(\textbf{2)}\) If \(\displaystyle\frac{x}{y}=3\) and \(xz+1=16\) then \(yz=\)
\(\,\,\,\,\,\,\,\,\,\) a. \( 4 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 8 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 5 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 3 \)
\(\textbf{3)}\) 2 cars started at the same place. One car going north traveled 50 mph for 2 hours. The other car traveled south at 60 mph for 1 hour and 15 minutes. How far apart are the cars?
\(\,\,\,\,\,\,\,\,\,\) a. \( 160 \) miles
\(\,\,\,\,\,\,\,\,\,\) b. \( 180 \) miles
\(\,\,\,\,\,\,\,\,\,\) c. \( 165 \) miles
\(\,\,\,\,\,\,\,\,\,\) d. \( 175 \) miles
\(\textbf{4)}\) There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. If John selects 1 green marble, then you select a marble. What is the probability your marble is blue?
\(\,\,\,\,\,\,\,\,\,\) a. \( \frac{10}{29} \)
\(\,\,\,\,\,\,\,\,\,\) b. \( \frac{1}{3} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( \frac{11}{29} \)
\(\,\,\,\,\,\,\,\,\,\) d. \( \frac{11}{30} \)
\(\textbf{5)}\) A triangle has points \((3,4), (7,4),\) and \((3,7)\). What is the perimeter of the triangle?
\(\,\,\,\,\,\,\,\,\,\) a. \( 10 \) units
\(\,\,\,\,\,\,\,\,\,\) b. \( 11 \) units
\(\,\,\,\,\,\,\,\,\,\) c. \( 12 \) units
\(\,\,\,\,\,\,\,\,\,\) d. \( 14 \) units
\(\textbf{6)}\) Simplify \(5x-4≤2x+2.\)
\(\,\,\,\,\,\,\,\,\,\) a. \( x \le 2 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 4 \le x \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 3x \le -2 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( x \le 6 \)
\(\textbf{7)}\) Solve for \(y \,\,\, \frac{1}{3}+ \frac{1}{4}=\frac{1}{y} \)
\(\,\,\,\,\,\,\,\,\,\) a. \( 7 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 12 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( \frac{12}{7} \)
\(\,\,\,\,\,\,\,\,\,\) d. \( \frac{7}{12} \)
The answer is c. \( \frac{12}{7} \)
\(\textbf{8)}\) The average of seven numbers is 12. What is the sum of the numbers?
\(\,\,\,\,\,\,\,\,\,\) a. \( 84 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 19 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 48 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 72 \)
\(\textbf{9)}\) What is the perimeter of this triangle?
\(\,\,\,\,\,\,\,\,\,\) a. \( 8 \sqrt{3} \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 3+3 \sqrt{3} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 6 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 4+2 \sqrt{3} \)
\(\textbf{10)}\) What is the radius of the circle \(x^2+y^2+2x-4y-11=0\)?
\(\,\,\,\,\,\,\,\,\,\) a. \( 11 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( \sqrt{11} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 4 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 16 \)
\(\textbf{11)}\) \(f(x)=4x-4\) and \(g(x)=1-x^2\), What is \(g(f(n+1))\)?
\(\,\,\,\,\,\,\,\,\,\) a. \( 1-4n^2 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 1-16n^2 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 4n-3 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 4n-n^2 \)
\(\textbf{12)}\) What is the slope of the line \(y=-3\)?
\(\,\,\,\,\,\,\,\,\,\) a. \( 0 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( -3 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( \frac{1}{3} \)
\(\,\,\,\,\,\,\,\,\,\) d. undefined
\(\textbf{13)}\) The product of two numbers is 30, and their sum is 17. What is their difference? \(\,\,\) Free response.
The answer is \( 13 \)
\(\textbf{14)}\) The area of a circle is \(16π\). What is the circumference of the circle?
\(\,\,\,\,\,\,\,\,\,\) a. \( 6 \pi \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 8 \pi \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 12 \pi \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 16 \pi \)
\(\textbf{15)}\) A square has the same area as a circle with radius 1. What is the perimeter of the square?
\(\,\,\,\,\,\,\,\,\,\) a. \( 4 \sqrt{\pi} \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 8 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 2 \pi \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 4 \pi \)
The answer is a. \( 4 \sqrt{\pi} \)
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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.
