Practice Test #1

\(\textbf{1)}\) Evaluate \(5 \cdot 8 – 2n\) if \(n = 4. \)
\(\,\,\,\,\,\,\,\,\,\) a. \( 32 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 34 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 0 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 12 \)
Link to Youtube Video Solving Question Number 1

 

\(\textbf{2)}\) If \(\displaystyle\frac{x}{y}=3\) and \(xz+1=16\) then \(yz=\)
\(\,\,\,\,\,\,\,\,\,\) a. \( 4 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 8 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 5 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 3 \)
Link to Youtube Video Solving Question Number 2

 

\(\textbf{3)}\) 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
Link to Youtube Video Solving Question Number 3

 

\(\textbf{4)}\) 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. \( \frac{11}{30} \)
Link to Youtube Video Solving Question Number 4

 

\(\textbf{5)}\) 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
Link to Youtube Video Solving Question Number 5

 

\(\textbf{6)}\) Simplify \(5x-4≤2x+2.\)
\(\,\,\,\,\,\,\,\,\,\) a. \( x \le 2 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 4 \le x \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 3x \le -2 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( x \le 6 \)
Link to Youtube Video Solving Question Number 6

 

\(\textbf{7)}\) Solve for \(y \,\,\, \frac{1}{3}+ \frac{1}{4}=\frac{1}{y} \)
\(\,\,\,\,\,\,\,\,\,\) a. \( 7 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 12 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( \frac{12}{7} \)
\(\,\,\,\,\,\,\,\,\,\) d. \( \frac{7}{12} \)
Link to Youtube Video Solving Question Number 7

 

\(\textbf{8)}\) The average of seven numbers is 12. What is the sum of the numbers?
\(\,\,\,\,\,\,\,\,\,\) a. \( 84 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 19 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 48 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 72 \)
Link to Youtube Video Solving Question Number 8

 

\(\textbf{9)}\) What is the perimeter of this triangle?
Triangle for Question 9
\(\,\,\,\,\,\,\,\,\,\) a. \( 8 \sqrt{3} \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 3+3 \sqrt{3} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 6 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 4+2 \sqrt{3} \)
Link to Youtube Video Solving Question Number 9

 

\(\textbf{10)}\) What is the radius of the circle \(x^2+y^2+2x-4y-11=0\)?
\(\,\,\,\,\,\,\,\,\,\) a. \( 11 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( \sqrt{11} \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 4 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 16 \)
Link to Youtube Video Solving Question Number 10

 

\(\textbf{11)}\) \(f(x)=4x-4\) and \(g(x)=1-x^2\), What is \(g(f(n+1))\)?
\(\,\,\,\,\,\,\,\,\,\) a. \( 1-4n^2 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( 1-16n^2 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( 4n-3 \)
\(\,\,\,\,\,\,\,\,\,\) d. \( 4n-n^2 \)
Link to Youtube Video Solving Question Number 11

 

\(\textbf{12)}\) What is the slope of the line \(y=-3\)?
\(\,\,\,\,\,\,\,\,\,\) a. \( 0 \)
\(\,\,\,\,\,\,\,\,\,\) b. \( -3 \)
\(\,\,\,\,\,\,\,\,\,\) c. \( \frac{1}{3} \)
\(\,\,\,\,\,\,\,\,\,\) d. undefined
Link to Youtube Video Solving Question Number 12

 

\(\textbf{13)}\) The product of two numbers is 30, and their sum is 17. What is their difference? \(\,\,\) Free response.
Link to Youtube Video Solving Question Number 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. \( 16 \pi \)
Link to Youtube Video Solving Question Number 14

 

\(\textbf{15)}\) 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. \( 4 \pi \)
Link to Youtube Video Solving Question Number 15

 

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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.
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