Practice Test #6

\(\textbf{1)}\) If \(\frac{2}{x}=8\), then \(3x= \)
\(\,\,\,\,\,\,\,\,\,\) a. \(12\)
\(\,\,\,\,\,\,\,\,\,\) b. \(6\)
\(\,\,\,\,\,\,\,\,\,\) c. \(\frac{3}{4}\)
\(\,\,\,\,\,\,\,\,\,\) d. \(\frac{7}{8}\)
Link to Youtube Video Solving Question Number 1

 

\(\textbf{2)}\) What is the slope of the line that contains the points \((-3,4)\) and \((2,6)\)?
\(\,\,\,\,\,\,\,\,\,\) a. \(-\frac{2}{5}\)
\(\,\,\,\,\,\,\,\,\,\) b. \(\frac{2}{5}\)
\(\,\,\,\,\,\,\,\,\,\) c. \(-2\)
\(\,\,\,\,\,\,\,\,\,\) d. \(\frac{1}{2}\)
Link to Youtube Video Solving Question Number 2

 

\(\textbf{3)}\) For the following square, solve for z.
\(\,\,\,\,\,\,\,\,\,\)Square for Question 3
\(\,\,\,\,\,\,\,\,\,\) a. \(3\)
\(\,\,\,\,\,\,\,\,\,\) b. \(4\)
\(\,\,\,\,\,\,\,\,\,\) c. \(2\)
\(\,\,\,\,\,\,\,\,\,\) d. \(7\)
Link to Youtube Video Solving Question Number 3

 

\(\textbf{4)}\) \(n+4\) is positive and odd, what is a possible value for \(n\)?
\(\,\,\,\,\,\,\,\,\,\) a. \(-2\)
\(\,\,\,\,\,\,\,\,\,\) b. \(-3\)
\(\,\,\,\,\,\,\,\,\,\) c. \(-4\)
\(\,\,\,\,\,\,\,\,\,\) d. \(-5\)
Link to Youtube Video Solving Question Number 4

 

\(\textbf{5)}\) What are all the solutions for \(x\)? \(x(x-1)(x+2)=0 \)
\(\,\,\,\,\,\,\,\,\,\) a. \(0,1,2\)
\(\,\,\,\,\,\,\,\,\,\) b. \(0,-1,-2\)
\(\,\,\,\,\,\,\,\,\,\) c. \(0,1,-2\)
\(\,\,\,\,\,\,\,\,\,\) d. \(0,-1,2\)
Link to Youtube Video Solving Question Number 5

 

\(\textbf{6)}\) What is the midpoint of \((3.5, 6.5)\) and \((-2.5, 3.5)\)?
\(\,\,\,\,\,\,\,\,\,\) a. \((3,4)\)
\(\,\,\,\,\,\,\,\,\,\) b. \((.5,5)\)
\(\,\,\,\,\,\,\,\,\,\) c. \((.5,4.5)\)
\(\,\,\,\,\,\,\,\,\,\) d. \((1,4.5)\)
Link to Youtube Video Solving Question Number 6

 

\(\textbf{7)}\) The sum of five numbers is \(45\). What is the average of the numbers?
\(\,\,\,\,\,\,\,\,\,\) a. \(40\)
\(\,\,\,\,\,\,\,\,\,\) b. \(9\)
\(\,\,\,\,\,\,\,\,\,\) c. \(15\)
\(\,\,\,\,\,\,\,\,\,\) d. \(10\)
Link to Youtube Video Solving Question Number 7

 

\(\textbf{8)}\) What is the area of this triangle?
\(\,\,\,\,\,\,\,\,\,\)Triangle for Question 8
\(\,\,\,\,\,\,\,\,\,\) a. \(6\) units\(^2\)
\(\,\,\,\,\,\,\,\,\,\) b. \(18\) units\(^2\)
\(\,\,\,\,\,\,\,\,\,\) c. \(12\) units\(^2\)
\(\,\,\,\,\,\,\,\,\,\) d. \(9\) units\(^2\)
Link to Youtube Video Solving Question Number 8

 

\(\textbf{9)}\) What is the x-intercept of this line? \(y=3x-4 \)
\(\,\,\,\,\,\,\,\,\,\) a. \((3,0)\)
\(\,\,\,\,\,\,\,\,\,\) b. \((4,0)\)
\(\,\,\,\,\,\,\,\,\,\) c. \((\frac{3}{4},0)\)
\(\,\,\,\,\,\,\,\,\,\) d. \((\frac{4}{3},0)\)
Link to Youtube Video Solving Question Number 9

 

\(\textbf{10)}\) Jessica collects rocks. She started the week with 20 rocks. Later in the week she traded 3 of her rocks to Steve for 12 of his rocks. She then sold 5 to her brother. After all of this, what is the percent of increase in Jessica’s rock collection?
\(\,\,\,\,\,\,\,\,\,\) a. \(20 \% \)
\(\,\,\,\,\,\,\,\,\,\) b. \(33 \frac{1}{3} \% \)
\(\,\,\,\,\,\,\,\,\,\) c. \(15 \% \)
\(\,\,\,\,\,\,\,\,\,\) d. \(140 \% \)
Link to Youtube Video Solving Question Number 10

 

\(\textbf{11)}\) Simplify \(\frac{9x^2 y^3 z^5}{27x^3 z^4} \)
\(\,\,\,\,\,\,\,\,\,\) a. \(\frac{1yz}{3x}\)
\(\,\,\,\,\,\,\,\,\,\) b. \(\frac{1y^3z}{9x}\)
\(\,\,\,\,\,\,\,\,\,\) c. \(\frac{1y^3z}{3x}\)
\(\,\,\,\,\,\,\,\,\,\) d. \(\frac{1xy^3}{18z}\)
Link to Youtube Video Solving Question Number 11

 

\(\textbf{12)}\) If \(4p+3q=7b\), what is \(q\) in terms of \(b\) and \(p? \)
\(\,\,\,\,\,\,\,\,\,\) a. \(q=7b-4p\)
\(\,\,\,\,\,\,\,\,\,\) b. \(q=\frac{7}{3}b-\frac{4}{3}p\)
\(\,\,\,\,\,\,\,\,\,\) c. \(q=\frac{7b+4p}{3}\)
\(\,\,\,\,\,\,\,\,\,\) d. \(q=\frac{4}{3}b-\frac{7}{3}p\)
Link to Youtube Video Solving Question Number 12

 

\(\textbf{13)}\) For the set \(2, 3, 4, 5, 6, 7, 7\). What is the mode?
\(\,\,\,\,\,\,\,\,\,\) a. \(2\)
\(\,\,\,\,\,\,\,\,\,\) b. \(3\)
\(\,\,\,\,\,\,\,\,\,\) c. \(5\)
\(\,\,\,\,\,\,\,\,\,\) d. \(7\)
Link to Youtube Video Solving Question Number 13

 

\(\textbf{14)}\) The average of \(x,y,z\), and \(w\) is \(14\). The average of \(x\) and \(z\) is \(10\), what is the average of \(y\) and \(w? \)
\(\,\,\,\,\,\,\,\,\,\) a. \(14\)
\(\,\,\,\,\,\,\,\,\,\) b. \(10\)
\(\,\,\,\,\,\,\,\,\,\) c. \(18\)
\(\,\,\,\,\,\,\,\,\,\) d. \(20\)
Link to Youtube Video Solving Question Number 14

 

\(\textbf{15)}\) If \( \cos \theta =\frac{3}{5}\), and the terminal side of the angle is in quadrant IV, what is \( \sin \theta\)?
\(\,\,\,\,\,\,\,\,\,\) a. \(\frac{4}{5}\)
\(\,\,\,\,\,\,\,\,\,\) b. \(-\frac{4}{5}\)
\(\,\,\,\,\,\,\,\,\,\) c. \(\frac{2}{5}\)
\(\,\,\,\,\,\,\,\,\,\) d. \(\frac{5}{4}\)
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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