Practice Test #7

$\textbf{1)}$ For the set 3, 3, 4, 5, 6, 7, 7. What is the mean?
$\,\,\,\,\,\,\,\,\,$ a. $3$
$\,\,\,\,\,\,\,\,\,$ b. $4$
$\,\,\,\,\,\,\,\,\,$ c. $5$
$\,\,\,\,\,\,\,\,\,$ d. $7$

$\textbf{2)}$ The line $y=3x+5$ passes through the point $(5, 2k)$. What is the value of $k$?
$\,\,\,\,\,\,\,\,\,$ a. $5$
$\,\,\,\,\,\,\,\,\,$ b. $1$
$\,\,\,\,\,\,\,\,\,$ c. $-1$
$\,\,\,\,\,\,\,\,\,$ d. $10$

$\textbf{3)}$ What is the value of h?
$\,\,\,\,\,\,\,\,\,$
$\,\,\,\,\,\,\,\,\,$ a. $1$
$\,\,\,\,\,\,\,\,\,$ b. $6 \sqrt{3}$
$\,\,\,\,\,\,\,\,\,$ c. $5$
$\,\,\,\,\,\,\,\,\,$ d. $6 \sqrt{2}$

$\textbf{4)}$ What is the difference of (1+2) and 3?
$\,\,\,\,\,\,\,\,\,$ a. $0$
$\,\,\,\,\,\,\,\,\,$ b. $1$
$\,\,\,\,\,\,\,\,\,$ c. $2$
$\,\,\,\,\,\,\,\,\,$ d. $3$

$\textbf{5)}$ Point R is the midpoint of line segment LM. If R is (3,4) and L is (-2,1), what is point M?
$\,\,\,\,\,\,\,\,\,$ a. $(5,5)$
$\,\,\,\,\,\,\,\,\,$ b. $(8,7)$
$\,\,\,\,\,\,\,\,\,$ c. $(.5,2.5)$
$\,\,\,\,\,\,\,\,\,$ d. $(-7,-2)$

$\textbf{6)}$ A hat is on sale for 15% off the original price. The sale price is $34.00. What is the original price?
$\,\,\,\,\,\,\,\,\,$ a. $$36.50$
$\,\,\,\,\,\,\,\,\,$ b. $$40.00$
$\,\,\,\,\,\,\,\,\,$ c. $$38.00$
$\,\,\,\,\,\,\,\,\,$ d. $$42.00$

$\textbf{7)}$ A triangle with vertices (1,2) (1,5) and (k,2) has a perimeter of 12 units. What is the value of k?
$\,\,\,\,\,\,\,\,\,$ a. $3$
$\,\,\,\,\,\,\,\,\,$ b. $4$
$\,\,\,\,\,\,\,\,\,$ c. $5$
$\,\,\,\,\,\,\,\,\,$ d. $6$

$\textbf{8)}$ In the figure below ∆ADC is similar to ∆BEC. What is the length of BE?
$\,\,\,\,\,\,\,\,\,$
$\,\,\,\,\,\,\,\,\,$ a. $20$
$\,\,\,\,\,\,\,\,\,$ b. $40$
$\,\,\,\,\,\,\,\,\,$ c. $28$
$\,\,\,\,\,\,\,\,\,$ d. $24$

$\textbf{9)}$ The sum of 2 consecutive even integers is 114. What is the larger integer?
$\,\,\,\,\,\,\,\,\,$ a. $54$
$\,\,\,\,\,\,\,\,\,$ b. $56$
$\,\,\,\,\,\,\,\,\,$ c. $58$
$\,\,\,\,\,\,\,\,\,$ d. $60$

$\textbf{10)}$ Solve for $x. \, 2^{x+1}=32 $
$\,\,\,\,\,\,\,\,\,$ a. $-2$
$\,\,\,\,\,\,\,\,\,$ b. $3$
$\,\,\,\,\,\,\,\,\,$ c. $4$
$\,\,\,\,\,\,\,\,\,$ d. $5$

$\textbf{11)}$ What is the sum of the solutions of $ x^2+5x=6? $
$\,\,\,\,\,\,\,\,\,$ a. $5$
$\,\,\,\,\,\,\,\,\,$ b. $7$
$\,\,\,\,\,\,\,\,\,$ c. $-5$
$\,\,\,\,\,\,\,\,\,$ d. $6$

$\textbf{12)}$ $-|2x-4|=-8 $ has which 2 solutions?
$\,\,\,\,\,\,\,\,\,$ a. $2 $ and $ 4$
$\,\,\,\,\,\,\,\,\,$ b. $-2 $ and $ 6$
$\,\,\,\,\,\,\,\,\,$ c. $-2 $ and $ 8$
$\,\,\,\,\,\,\,\,\,$ d. $2 $ and $ 6$

$\textbf{13)}$ Two similar figures have area of $14 ft^2$ and $56 ft^2$. The perimeter of the smaller figure is $15$, what is the perimeter of the larger figure?
$\,\,\,\,\,\,\,\,\,$ a. $20$
$\,\,\,\,\,\,\,\,\,$ b. $30$
$\,\,\,\,\,\,\,\,\,$ c. $60$
$\,\,\,\,\,\,\,\,\,$ d. $90$

$\textbf{14)}$ $f(x)=4x-1$ and $g(x)=x^2$ Solve for the variable $m. f(g(m))=15 $
$\,\,\,\,\,\,\,\,\,$ a. $2$
$\,\,\,\,\,\,\,\,\,$ b. $\pm 2$
$\,\,\,\,\,\,\,\,\,$ c. $4 $
$\,\,\,\,\,\,\,\,\,$ d. $\pm 4$

$\textbf{15)}$ What is $m+n?$
$\,\,\,\,\,\,\,\,\,$$\sqrt{20}= n \sqrt{m} $
$\,\,\,\,\,\,\,\,\,$ a. $5$
$\,\,\,\,\,\,\,\,\,$ b. $7$
$\,\,\,\,\,\,\,\,\,$ c. $9$
$\,\,\,\,\,\,\,\,\,$ d. $10$

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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

\(\textbf{1)}\) For the set 3, 3, 4, 5, 6, 7, 7. What is the mean?
\(\,\,\,\,\,\,\,\,\,\) a. \(3\)
\(\,\,\,\,\,\,\,\,\,\) b. \(4\)
\(\,\,\,\,\,\,\,\,\,\) c. \(5\)
\(\,\,\,\,\,\,\,\,\,\) d. \(7\)

\(\textbf{2)}\) The line \(y=3x+5\) passes through the point \((5, 2k)\). What is the value of \(k\)?
\(\,\,\,\,\,\,\,\,\,\) a. \(5\)
\(\,\,\,\,\,\,\,\,\,\) b. \(1\)
\(\,\,\,\,\,\,\,\,\,\) c. \(-1\)
\(\,\,\,\,\,\,\,\,\,\) d. \(10\)

\(\textbf{3)}\) What is the value of h?
\(\,\,\,\,\,\,\,\,\,\)
\(\,\,\,\,\,\,\,\,\,\) a. \(1\)
\(\,\,\,\,\,\,\,\,\,\) b. \(6 \sqrt{3}\)
\(\,\,\,\,\,\,\,\,\,\) c. \(5\)
\(\,\,\,\,\,\,\,\,\,\) d. \(6 \sqrt{2}\)

\(\textbf{4)}\) What is the difference of (1+2) and 3?
\(\,\,\,\,\,\,\,\,\,\) a. \(0\)
\(\,\,\,\,\,\,\,\,\,\) b. \(1\)
\(\,\,\,\,\,\,\,\,\,\) c. \(2\)
\(\,\,\,\,\,\,\,\,\,\) d. \(3\)

\(\textbf{5)}\) Point R is the midpoint of line segment LM. If R is (3,4) and L is (-2,1), what is point M?
\(\,\,\,\,\,\,\,\,\,\) a. \((5,5)\)
\(\,\,\,\,\,\,\,\,\,\) b. \((8,7)\)
\(\,\,\,\,\,\,\,\,\,\) c. \((.5,2.5)\)
\(\,\,\,\,\,\,\,\,\,\) d. \((-7,-2)\)

\(\textbf{6)}\) A hat is on sale for 15% off the original price. The sale price is $34.00. What is the original price?
\(\,\,\,\,\,\,\,\,\,\) a. \($36.50\)
\(\,\,\,\,\,\,\,\,\,\) b. \($40.00\)
\(\,\,\,\,\,\,\,\,\,\) c. \($38.00\)
\(\,\,\,\,\,\,\,\,\,\) d. \($42.00\)

\(\textbf{7)}\) A triangle with vertices (1,2) (1,5) and (k,2) has a perimeter of 12 units. What is the value of k?
\(\,\,\,\,\,\,\,\,\,\) a. \(3\)
\(\,\,\,\,\,\,\,\,\,\) b. \(4\)
\(\,\,\,\,\,\,\,\,\,\) c. \(5\)
\(\,\,\,\,\,\,\,\,\,\) d. \(6\)

\(\textbf{8)}\) In the figure below ∆ADC is similar to ∆BEC. What is the length of BE?
\(\,\,\,\,\,\,\,\,\,\)
\(\,\,\,\,\,\,\,\,\,\) a. \(20\)
\(\,\,\,\,\,\,\,\,\,\) b. \(40\)
\(\,\,\,\,\,\,\,\,\,\) c. \(28\)
\(\,\,\,\,\,\,\,\,\,\) d. \(24\)

\(\textbf{9)}\) The sum of 2 consecutive even integers is 114. What is the larger integer?
\(\,\,\,\,\,\,\,\,\,\) a. \(54\)
\(\,\,\,\,\,\,\,\,\,\) b. \(56\)
\(\,\,\,\,\,\,\,\,\,\) c. \(58\)
\(\,\,\,\,\,\,\,\,\,\) d. \(60\)

\(\textbf{10)}\) Solve for \(x. \, 2^{x+1}=32 \)
\(\,\,\,\,\,\,\,\,\,\) a. \(-2\)
\(\,\,\,\,\,\,\,\,\,\) b. \(3\)
\(\,\,\,\,\,\,\,\,\,\) c. \(4\)
\(\,\,\,\,\,\,\,\,\,\) d. \(5\)

\(\textbf{11)}\) What is the sum of the solutions of \( x^2+5x=6? \)
\(\,\,\,\,\,\,\,\,\,\) a. \(5\)
\(\,\,\,\,\,\,\,\,\,\) b. \(7\)
\(\,\,\,\,\,\,\,\,\,\) c. \(-5\)
\(\,\,\,\,\,\,\,\,\,\) d. \(6\)

\(\textbf{12)}\) \(-|2x-4|=-8 \) has which 2 solutions?
\(\,\,\,\,\,\,\,\,\,\) a. \(2 \) and \( 4\)
\(\,\,\,\,\,\,\,\,\,\) b. \(-2 \) and \( 6\)
\(\,\,\,\,\,\,\,\,\,\) c. \(-2 \) and \( 8\)
\(\,\,\,\,\,\,\,\,\,\) d. \(2 \) and \( 6\)

\(\textbf{14)}\) \(f(x)=4x-1\) and \(g(x)=x^2\) Solve for the variable \(m. f(g(m))=15 \)
\(\,\,\,\,\,\,\,\,\,\) a. \(2\)
\(\,\,\,\,\,\,\,\,\,\) b. \(\pm 2\)
\(\,\,\,\,\,\,\,\,\,\) c. \(4 \)
\(\,\,\,\,\,\,\,\,\,\) d. \(\pm 4\)

\(\textbf{15)}\) What is \(m+n?\)
\(\,\,\,\,\,\,\,\,\,\)\(\sqrt{20}= n \sqrt{m} \)
\(\,\,\,\,\,\,\,\,\,\) a. \(5\)
\(\,\,\,\,\,\,\,\,\,\) b. \(7\)
\(\,\,\,\,\,\,\,\,\,\) c. \(9\)
\(\,\,\,\,\,\,\,\,\,\) d. \(10\)

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In Summary…

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ANDYMATH

\(\textbf{1)}\) For the set 3, 3, 4, 5, 6, 7, 7. What is the mean? \(\,\,\,\,\,\,\,\,\,\) a. \(3\) \(\,\,\,\,\,\,\,\,\,\) b. \(4\) \(\,\,\,\,\,\,\,\,\,\) c. \(5\) \(\,\,\,\,\,\,\,\,\,\) d. \(7\) Show Answer The answer is c. \( 5 \) Click here for more Mean, Median and Mode Practice

\(\textbf{3)}\) What is the value of h? \(\,\,\,\,\,\,\,\,\,\) \(\,\,\,\,\,\,\,\,\,\) a. \(1\) \(\,\,\,\,\,\,\,\,\,\) b. \(6 \sqrt{3}\) \(\,\,\,\,\,\,\,\,\,\) c. \(5\) \(\,\,\,\,\,\,\,\,\,\) d. \(6 \sqrt{2}\) Show Answer The answer is c. \( 5 \) Click here for more Pythagorean Theorem Practice

\(\textbf{4)}\) What is the difference of (1+2) and 3? \(\,\,\,\,\,\,\,\,\,\) a. \(0\) \(\,\,\,\,\,\,\,\,\,\) b. \(1\) \(\,\,\,\,\,\,\,\,\,\) c. \(2\) \(\,\,\,\,\,\,\,\,\,\) d. \(3\) Show Answer The answer is a. \( 0 \)

\(\textbf{8)}\) In the figure below ∆ADC is similar to ∆BEC. What is the length of BE? \(\,\,\,\,\,\,\,\,\,\) \(\,\,\,\,\,\,\,\,\,\) a. \(20\) \(\,\,\,\,\,\,\,\,\,\) b. \(40\) \(\,\,\,\,\,\,\,\,\,\) c. \(28\) \(\,\,\,\,\,\,\,\,\,\) d. \(24\) Show Answer The answer is d. \( 24 \)

\(\textbf{10)}\) Solve for \(x. \, 2^{x+1}=32 \) \(\,\,\,\,\,\,\,\,\,\) a. \(-2\) \(\,\,\,\,\,\,\,\,\,\) b. \(3\) \(\,\,\,\,\,\,\,\,\,\) c. \(4\) \(\,\,\,\,\,\,\,\,\,\) d. \(5\) Show Answer The answer is c. \( 4 \)

\(\textbf{11)}\) What is the sum of the solutions of \( x^2+5x=6? \) \(\,\,\,\,\,\,\,\,\,\) a. \(5\) \(\,\,\,\,\,\,\,\,\,\) b. \(7\) \(\,\,\,\,\,\,\,\,\,\) c. \(-5\) \(\,\,\,\,\,\,\,\,\,\) d. \(6\) Show Answer The answer is c. \( -5 \) Click here for more Factoring Trinomials Practice

\(\textbf{15)}\) What is \(m+n?\) \(\,\,\,\,\,\,\,\,\,\)\(\sqrt{20}= n \sqrt{m} \) \(\,\,\,\,\,\,\,\,\,\) a. \(5\) \(\,\,\,\,\,\,\,\,\,\) b. \(7\) \(\,\,\,\,\,\,\,\,\,\) c. \(9\) \(\,\,\,\,\,\,\,\,\,\) d. \(10\) Show Answer The answer is b. \( 7 \) Click here for more Square Roots Practice

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In Summary…

\(\textbf{1)}\) For the set 3, 3, 4, 5, 6, 7, 7. What is the mean?
\(\,\,\,\,\,\,\,\,\,\) a. \(3\)
\(\,\,\,\,\,\,\,\,\,\) b. \(4\)
\(\,\,\,\,\,\,\,\,\,\) c. \(5\)
\(\,\,\,\,\,\,\,\,\,\) d. \(7\)

\(\textbf{3)}\) What is the value of h?
\(\,\,\,\,\,\,\,\,\,\)
\(\,\,\,\,\,\,\,\,\,\) a. \(1\)
\(\,\,\,\,\,\,\,\,\,\) b. \(6 \sqrt{3}\)
\(\,\,\,\,\,\,\,\,\,\) c. \(5\)
\(\,\,\,\,\,\,\,\,\,\) d. \(6 \sqrt{2}\)

\(\textbf{4)}\) What is the difference of (1+2) and 3?
\(\,\,\,\,\,\,\,\,\,\) a. \(0\)
\(\,\,\,\,\,\,\,\,\,\) b. \(1\)
\(\,\,\,\,\,\,\,\,\,\) c. \(2\)
\(\,\,\,\,\,\,\,\,\,\) d. \(3\)

\(\textbf{8)}\) In the figure below ∆ADC is similar to ∆BEC. What is the length of BE?
\(\,\,\,\,\,\,\,\,\,\)
\(\,\,\,\,\,\,\,\,\,\) a. \(20\)
\(\,\,\,\,\,\,\,\,\,\) b. \(40\)
\(\,\,\,\,\,\,\,\,\,\) c. \(28\)
\(\,\,\,\,\,\,\,\,\,\) d. \(24\)

\(\textbf{10)}\) Solve for \(x. \, 2^{x+1}=32 \)
\(\,\,\,\,\,\,\,\,\,\) a. \(-2\)
\(\,\,\,\,\,\,\,\,\,\) b. \(3\)
\(\,\,\,\,\,\,\,\,\,\) c. \(4\)
\(\,\,\,\,\,\,\,\,\,\) d. \(5\)

\(\textbf{11)}\) What is the sum of the solutions of \( x^2+5x=6? \)
\(\,\,\,\,\,\,\,\,\,\) a. \(5\)
\(\,\,\,\,\,\,\,\,\,\) b. \(7\)
\(\,\,\,\,\,\,\,\,\,\) c. \(-5\)
\(\,\,\,\,\,\,\,\,\,\) d. \(6\)

\(\textbf{15)}\) What is \(m+n?\)
\(\,\,\,\,\,\,\,\,\,\)\(\sqrt{20}= n \sqrt{m} \)
\(\,\,\,\,\,\,\,\,\,\) a. \(5\)
\(\,\,\,\,\,\,\,\,\,\) b. \(7\)
\(\,\,\,\,\,\,\,\,\,\) c. \(9\)
\(\,\,\,\,\,\,\,\,\,\) d. \(10\)