9000079202
Level:
B
Find the set \(M\)
of all the real \(x\)
for which the following expression is not a well defined number.
\[
\frac{x - 4}
{x^{3} - 16x}
\]
\(M = \{ - 4;0;4\}\)
\(M = \{ - 4;4\}\)
\(M = \{0;4\}\)
\(M = \{0\}\)
B
9000078507
Level:
B
Assuming \(x\in \left (-\frac{1}
{2};6\right )\),
simplify the following expression.
\[
3 -|6 - x| + |2x + 1|
\]
\(3x - 2\)
\(x - 2\)
\(3x + 10\)
\(x + 8\)
9000078505
Level:
B
Assuming \(x\in (0;\infty )\),
simplify the following expression.
\[
3x -|2x|-|- x|
\]
\(0\)
\(2x\)
\(3x\)
\(4x\)
9000078902
Level:
B
If we decrease an unknown number \(x\)
by \(14\, \%\), we
get \(602\).
Find \(x\).
\(700\)
\(686.28\)
\(517.72\)
\(680\)
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 \(A \cap B\).
\(\{1;2;3;4;5\}\)
\(\{0;1;2;3;4;5\}\)
\(\{0;1;2;3;4\}\)
\(\{ - 2;-1;0;1;2;3;4;5\}\)
9000078903
Level:
B
The number \(234\)
is by \(20\, \%\) bigger
than \(x\).
Find \(x\).
\(195\)
\(187.2\)
\(280.8\)
\(205\)
9000080904
Level:
B
Given the sets \(A =\mathbb{N}\)
and \(B = \{x\in \mathbb{Z}\colon x > 8\}\),
find the union \(A\cup B\).
\(\mathbb{N}\)
\(\emptyset \)
\(\{x\in \mathbb{Z};x > 8\}\)
\(\mathbb{Z}\)
9000078904
Level:
B
The number \(87.5\)
is a \(35\, \%\) from an
unknown number \(x\).
Find \(x\).
\(250\)
\(240\)
\(260\)
\(270\)
9000078510
Level:
B
Assuming \(x\in (6;11)\),
simplify the following expression.
\[
3|x - 11|- 2|6 - x|
\]
\(- 5x + 45\)
\(5x - 45\)
\(x - 45\)
\(x - 21\)
9000078905
Level:
B
A new laptop has been introduced to the marked with the original price
\(\$1\: 090\).
Soon after the introduction the price has been increased temporarily by
\(20\, \%\) and after several
months decreased by \(30\, \%\).
Find the final price for the laptop. Round your result to the nearest integer.
\(\$916\)
\(\$981\)
\(\$952\)
\(\$930\)