9000078505
Level:
B
Assuming \(x\in (0,\infty )\),
simplify the following expression.
\[
3x -|2x|-|- x|
\]
\(0\)
\(2x\)
\(3x\)
\(4x\)
B
9000078906
Level:
B
The price of a ship decreased in autumn by
\(16\, \%\) and in spring
increased by \(4\, \%\). This
final price was \(\$367\: 000\).
Find the original price of the ship. (Round to the nearest thousand.)
\(\$420\: 000\)
\(\$417\: 000\)
\(\$409\: 000\)
\(\$415\: 000\)
9000078506
Level:
B
Assuming \(x\in (-\infty ,0)\),
simplify the following expression.
\[
3x -|2x|-|- x|
\]
\(6x\)
\(4x\)
\(2x\)
\(0\)
9000078907
Level:
B
The unknown number \(x\)
has been increased by \(20\, \%\)
and then decreased by \(5\, \%\).
The final value was \(513\).
Find \(x\).
(Round to the closest integer.)
\(450\)
\(446\)
\(430\)
\(436\)
9000078507
Level:
B
Assuming \(x\in \left (-\frac{1}
{2},6\right )\),
simplify the following expression.
\[
3 -|6 - x| + |2x + 1|
\]
\(3x - 2\)
\(x - 2\)
\(3x + 10\)
\(x + 8\)
9000078908
Level:
B
A house price in the March was \(\$259\: 000\).
The house has not been sold for several months and the price dropped to
\(\$234\: 000\) in
August. Write the discount as percents of the original price. (Round to the tenth.)
\(9.7\, \%\)
\(10.7\, \%\)
\(10.5\, \%\)
\(9.5\, \%\)
9000078508
Level:
B
Assuming \(x\in (1,\infty )\),
simplify the following expression.
\[
3x -|2x + 1| + |x - 1|
\]
\(2x - 2\)
\(4x - 2\)
\(2x + 2\)
\(2x\)
9000079208
Level:
B
Assuming \(x\neq 0\)
and \(y\neq 0\),
simplify the following expression.
\[
\left (\frac{x^{-2}y^{2}}
{x^{0}y^{-8}}\right )^{-2} : \frac{x^{2}}
{x^{-4}y^{7}}
\]
\(\frac{1}
{x^{2}y^{13}} \)
\(\frac{y^{13}}
{x^{2}} \)
\(\frac{y^{15}}
{x^{6}} \)
\(\frac{x^{4}}
{y^{27}} \)
9000078510
Level:
B
Assuming \(x\in (6,11)\),
simplify the following expression.
\[
3|x - 11|- 2|6 - x|
\]
\(- 5x + 45\)
\(5x - 45\)
\(x - 45\)
\(x - 21\)
9000078901
Level:
B
If we increase an unknown number \(x\)
by \(5\, \%\), we
get \(378\).
Find \(x\).
\(360\)
\(359.1\)
\(396.9\)
\(350\)