9000078507
Level:
B
Assuming \(x\in \left (-\frac{1}
{2},6\right )\),
simplify the following expression.
\[
3 -|6 - x| + |2x + 1|
\]
\(3x - 2\)
\(x - 2\)
\(3x + 10\)
\(x + 8\)
B
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 \(x\).
\(360\)
\(359.1\)
\(396.9\)
\(350\)
9000078910
Level:
B
There is \(19\)
girls and \(12\)
boys in the class. Find the difference between the percentage of the girls and boys in
this class.
\(22.6\, \%\)
\(15.1\, \%\)
\(18.5\, \%\)
\(23.5\, \%\)
9000080901
Level:
B
Find the intersection \(A \cap B\)
for \(A = \{ - 5,0,1.5,2,6\}\)
and \(B = \{x\in \mathbb{Z},x\geq 0\}\).
\(\{0,2,6\}\)
\(\{0,1.5,2,6\}\)
\(\{1.5,2,6\}\)
\(\mathbb{Z}\)
9000076006
Level:
B
In the following list identify a set such that each element of this set is a divisor of
\(578\).
\(17,\ 34,\ 289\)
\(1,\ 2,\ 4\)
\(13,\ 15,\ 17\)
\(1,\ 13,\ 289\)
\(2,\ 35,\ 578\)
9000080902
Level:
B
Given the sets \(A = \{x\in \mathbb{Z}:x\geq - 2\}\)
and \(B = \{x\in \mathbb{N}: x\leq 5\}\) find the intersection \(A \cap B\).
\(\{1,2,3,4,5\}\)
\(\{0,1,2,3,4,5\}\)
\(\{0,1,2,3,4\}\)
\(\{ - 2,-1,0,1,2,3,4,5\}\)