Practice Test #8

$\textbf{1)}$ The ratio of males to females in a room is 2 to 5. If there are 35 people in the room, how many are male?
$\,\,\,\,\,\,\,\,\,$ a. $10$
$\,\,\,\,\,\,\,\,\,$ b. $12$
$\,\,\,\,\,\,\,\,\,$ c. $25$
$\,\,\,\,\,\,\,\,\,$ d. $8$

$\textbf{2)}$ The sum of x and its cube is double x. How many solutions are there for x?
$\,\,\,\,\,\,\,\,\,$ a. $1$
$\,\,\,\,\,\,\,\,\,$ b. $2$
$\,\,\,\,\,\,\,\,\,$ c. $3$
$\,\,\,\,\,\,\,\,\,$ d. $0$

$\textbf{3)}$ What is the product of $(1+2)$ and $3$?
$\,\,\,\,\,\,\,\,\,$ a. $3$
$\,\,\,\,\,\,\,\,\,$ b. $6$
$\,\,\,\,\,\,\,\,\,$ c. $9$
$\,\,\,\,\,\,\,\,\,$ d. $12$

$\textbf{4)}$ What is the area of this triangle?
$\,\,\,\,\,\,\,\,\,$
$\,\,\,\,\,\,\,\,\,$ a. $18 \sqrt{3}$ units$^2$
$\,\,\,\,\,\,\,\,\,$ b. $36 \sqrt{2}$ units$^2$
$\,\,\,\,\,\,\,\,\,$ c. $18 \sqrt{2}$ units$^2$
$\,\,\,\,\,\,\,\,\,$ d. $12$ units$^2$

$\textbf{5)}$ A unique number is chosen from each of the sets below. What is the smallest possible sum of the numbers selected? {1,2,6} {1,3,6} {1,4,6} {1,5,6}
$\,\,\,\,\,\,\,\,\,$ a. $4$
$\,\,\,\,\,\,\,\,\,$ b. $14$
$\,\,\,\,\,\,\,\,\,$ c. $12$
$\,\,\,\,\,\,\,\,\,$ d. $10$

$\textbf{6)}$ The circumference of a circle is $12 \pi $. What is the area of the circle?
$\,\,\,\,\,\,\,\,\,$ a. $12 \pi$
$\,\,\,\,\,\,\,\,\,$ b. $24 \pi$
$\,\,\,\,\,\,\,\,\,$ c. $36 \pi$
$\,\,\,\,\,\,\,\,\,$ d. $6 \pi$

$\textbf{7)}$ There is a box of marbles. There are 12 red, 7 green and 11 blue marbles. If you select 1 marble, what is the probability of it being green?
$\,\,\,\,\,\,\,\,\,$ a. $\frac{7}{30}$
$\,\,\,\,\,\,\,\,\,$ b. $\frac{1}{3}$
$\,\,\,\,\,\,\,\,\,$ c. $\frac{7}{23}$
$\,\,\,\,\,\,\,\,\,$ d. $\frac{1}{5}$

$\textbf{8)}$If 3 Kregs= 4 Dyts, and 8 Dyts= 10 Murgs. How many Murgs = 15 Kregs?
$\,\,\,\,\,\,\,\,\,$ a. $10$
$\,\,\,\,\,\,\,\,\,$ b. $20$
$\,\,\,\,\,\,\,\,\,$ c. $25$
$\,\,\,\,\,\,\,\,\,$ d. $30$

$\textbf{9)}$This symbol represents the following function.
$\,\,\,\,\,\,\,\,\,$
$\,\,\,\,\,\,\,\,\,$What is the value of the following?
$\,\,\,\,\,\,\,\,\,$
$\,\,\,\,\,\,\,\,\,$ a. $x+1$
$\,\,\,\,\,\,\,\,\,$ b. $3x$
$\,\,\,\,\,\,\,\,\,$ c. $3x-2$
$\,\,\,\,\,\,\,\,\,$ d. $3x+4$

$\textbf{10)}$ What is the center of the circle $x^2+y^2+2x-4y-11=0? $
$\,\,\,\,\,\,\,\,\,$ a. $(-1,2)$
$\,\,\,\,\,\,\,\,\,$ b. $(-2,1)$
$\,\,\,\,\,\,\,\,\,$ c. $(2,-4)$
$\,\,\,\,\,\,\,\,\,$ d. $(-2,4)$

$\textbf{11)}$ A cookie jar is half full. After adding 6 cookies it is 75% full. How many cookies can the jar hold if it is completely full?
$\,\,\,\,\,\,\,\,\,$ a. $6$
$\,\,\,\,\,\,\,\,\,$ b. $12$
$\,\,\,\,\,\,\,\,\,$ c. $24$
$\,\,\,\,\,\,\,\,\,$ d. $48$

$\textbf{12)}$ If $ \frac{z}{z+y}=\frac{2}{3}$, then what is $ \frac{y}{z}$?
$\,\,\,\,\,\,\,\,\,$ a. $\frac{3}{2}$
$\,\,\,\,\,\,\,\,\,$ b. $\frac{1}{2}$
$\,\,\,\,\,\,\,\,\,$ c. $\frac{4}{3}$
$\,\,\,\,\,\,\,\,\,$ d. $\frac{5}{6}$

$\textbf{13)}$ A printing machine costs $$450$, it costs $$21$ to make a shirt. And the shirts sell for $$30$. Including the price of the printing machine, how many shirts must you sell to break even?
$\,\,\,\,\,\,\,\,\,$ a. $40$
$\,\,\,\,\,\,\,\,\,$ b. $50$
$\,\,\,\,\,\,\,\,\,$ c. $60$
$\,\,\,\,\,\,\,\,\,$ d. $70$

$\textbf{14)}$ There are 200 shirts in a shop. 45% are red. 60% are medium. 30% are red and medium. How many shirts are neither red nor medium in size?
$\,\,\,\,\,\,\,\,\,$ a. $25 \%$
$\,\,\,\,\,\,\,\,\,$ b. $30 \%$
$\,\,\,\,\,\,\,\,\,$ c. $35 \%$
$\,\,\,\,\,\,\,\,\,$ d. $40 \%$

$\textbf{15)}$ $\tan(\sin^{-1}(\frac{3}{5}))= $
$\,\,\,\,\,\,\,\,\,$ a. $\frac{3}{4}$
$\,\,\,\,\,\,\,\,\,$ b. $\frac{4}{3}$
$\,\,\,\,\,\,\,\,\,$ c. $\frac{4}{5}$
$\,\,\,\,\,\,\,\,\,$ d. $\frac{5}{3}$

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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.

ANDYMATH

\(\textbf{1)}\) The ratio of males to females in a room is 2 to 5. If there are 35 people in the room, how many are male?
\(\,\,\,\,\,\,\,\,\,\) a. \(10\)
\(\,\,\,\,\,\,\,\,\,\) b. \(12\)
\(\,\,\,\,\,\,\,\,\,\) c. \(25\)
\(\,\,\,\,\,\,\,\,\,\) d. \(8\)

\(\textbf{2)}\) The sum of x and its cube is double x. How many solutions are there for x?
\(\,\,\,\,\,\,\,\,\,\) a. \(1\)
\(\,\,\,\,\,\,\,\,\,\) b. \(2\)
\(\,\,\,\,\,\,\,\,\,\) c. \(3\)
\(\,\,\,\,\,\,\,\,\,\) d. \(0\)

\(\textbf{3)}\) What is the product of \((1+2)\) and \(3\)?
\(\,\,\,\,\,\,\,\,\,\) a. \(3\)
\(\,\,\,\,\,\,\,\,\,\) b. \(6\)
\(\,\,\,\,\,\,\,\,\,\) c. \(9\)
\(\,\,\,\,\,\,\,\,\,\) d. \(12\)

\(\textbf{4)}\) What is the area of this triangle?
\(\,\,\,\,\,\,\,\,\,\)
\(\,\,\,\,\,\,\,\,\,\) a. \(18 \sqrt{3}\) units\(^2\)
\(\,\,\,\,\,\,\,\,\,\) b. \(36 \sqrt{2}\) units\(^2\)
\(\,\,\,\,\,\,\,\,\,\) c. \(18 \sqrt{2}\) units\(^2\)
\(\,\,\,\,\,\,\,\,\,\) d. \(12\) units\(^2\)

\(\textbf{5)}\) A unique number is chosen from each of the sets below. What is the smallest possible sum of the numbers selected? {1,2,6} {1,3,6} {1,4,6} {1,5,6}
\(\,\,\,\,\,\,\,\,\,\) a. \(4\)
\(\,\,\,\,\,\,\,\,\,\) b. \(14\)
\(\,\,\,\,\,\,\,\,\,\) c. \(12\)
\(\,\,\,\,\,\,\,\,\,\) d. \(10\)

\(\textbf{6)}\) The circumference of a circle is \(12 \pi \). What is the area of the circle?
\(\,\,\,\,\,\,\,\,\,\) a. \(12 \pi\)
\(\,\,\,\,\,\,\,\,\,\) b. \(24 \pi\)
\(\,\,\,\,\,\,\,\,\,\) c. \(36 \pi\)
\(\,\,\,\,\,\,\,\,\,\) d. \(6 \pi\)

\(\textbf{8)}\)If 3 Kregs= 4 Dyts, and 8 Dyts= 10 Murgs. How many Murgs = 15 Kregs?
\(\,\,\,\,\,\,\,\,\,\) a. \(10\)
\(\,\,\,\,\,\,\,\,\,\) b. \(20\)
\(\,\,\,\,\,\,\,\,\,\) c. \(25\)
\(\,\,\,\,\,\,\,\,\,\) d. \(30\)

\(\textbf{10)}\) What is the center of the circle \(x^2+y^2+2x-4y-11=0? \)
\(\,\,\,\,\,\,\,\,\,\) a. \((-1,2)\)
\(\,\,\,\,\,\,\,\,\,\) b. \((-2,1)\)
\(\,\,\,\,\,\,\,\,\,\) c. \((2,-4)\)
\(\,\,\,\,\,\,\,\,\,\) d. \((-2,4)\)

\(\textbf{11)}\) A cookie jar is half full. After adding 6 cookies it is 75% full. How many cookies can the jar hold if it is completely full?
\(\,\,\,\,\,\,\,\,\,\) a. \(6\)
\(\,\,\,\,\,\,\,\,\,\) b. \(12\)
\(\,\,\,\,\,\,\,\,\,\) c. \(24\)
\(\,\,\,\,\,\,\,\,\,\) d. \(48\)

\(\textbf{12)}\) If \( \frac{z}{z+y}=\frac{2}{3}\), then what is \( \frac{y}{z}\)?
\(\,\,\,\,\,\,\,\,\,\) a. \(\frac{3}{2}\)
\(\,\,\,\,\,\,\,\,\,\) b. \(\frac{1}{2}\)
\(\,\,\,\,\,\,\,\,\,\) c. \(\frac{4}{3}\)
\(\,\,\,\,\,\,\,\,\,\) d. \(\frac{5}{6}\)

\(\textbf{14)}\) There are 200 shirts in a shop. 45% are red. 60% are medium. 30% are red and medium. How many shirts are neither red nor medium in size?
\(\,\,\,\,\,\,\,\,\,\) a. \(25 \%\)
\(\,\,\,\,\,\,\,\,\,\) b. \(30 \%\)
\(\,\,\,\,\,\,\,\,\,\) c. \(35 \%\)
\(\,\,\,\,\,\,\,\,\,\) d. \(40 \%\)

\(\textbf{15)}\) \(\tan(\sin^{-1}(\frac{3}{5}))= \)
\(\,\,\,\,\,\,\,\,\,\) a. \(\frac{3}{4}\)
\(\,\,\,\,\,\,\,\,\,\) b. \(\frac{4}{3}\)
\(\,\,\,\,\,\,\,\,\,\) c. \(\frac{4}{5}\)
\(\,\,\,\,\,\,\,\,\,\) d. \(\frac{5}{3}\)

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ANDYMATH

\(\textbf{3)}\) What is the product of \((1+2)\) and \(3\)? \(\,\,\,\,\,\,\,\,\,\) a. \(3\) \(\,\,\,\,\,\,\,\,\,\) b. \(6\) \(\,\,\,\,\,\,\,\,\,\) c. \(9\) \(\,\,\,\,\,\,\,\,\,\) d. \(12\) Show Answer The answer is c. \( 9 \)

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In Summary…

\(\textbf{3)}\) What is the product of \((1+2)\) and \(3\)?
\(\,\,\,\,\,\,\,\,\,\) a. \(3\)
\(\,\,\,\,\,\,\,\,\,\) b. \(6\)
\(\,\,\,\,\,\,\,\,\,\) c. \(9\)
\(\,\,\,\,\,\,\,\,\,\) d. \(12\)