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.
\[
3x -|2x|-|- x|
\]
\(0\)
\(2x\)
\(3x\)
\(4x\)
9000076005
Level:
B
In the following list identify a set such that each element of this set is a divisor of
\(1\: 260\).
\(1,\ 36,\ 42\)
\(4,\ 8,\ 630\)
\(12,\ 18,\ 26\)
\(16,\ 315,\ 1\: 260\)
\(1,\ 17,\ 256\)
9000072704
Level:
B
We are given five consecutive terms of an arithmetic sequence. Find
\(x\).
\[
4\, ,\ a\, ,\ 8\, ,\ b\, ,\ x
\]
\(x = 12\)
\(x = 10\)
\(x = 14\)
\(x = 16\)
9000072703
Level:
B
The following numbers form an arithmetic sequence. Find
\(x\).
\[
x\, ,\ 10\, ,\ 5
\]
\(x = 15\)
\(x = 20\)
\(x = 50\)
\(x = 5\)
9000072706
Level:
B
We are given five consecutive terms of an arithmetic sequence. Find
\(x\).
\[
5\, ,\ a\, ,\ b\, ,\ x\, ,\ 6
\]
\(x = 5.75\)
\(x = 5.5\)
\(x = 5.8\)
\(x = 5\frac{2}
{3}\)
9000072705
Level:
B
We are given four consecutive terms of an arithmetic sequence. Find
\(x\).
\[
3\, ,\ a\, ,\ 0\, ,\ x
\]
\(x = -1.5\)
\(x = -3\)
\(x = 6\)
\(x = -6\)
9000073002
Level:
B
Consider a geometric sequence \((a_{n})_{n=1}^{\infty }\).
Let \(q\) be the quotient
and \(s_{n}\) be the sum
of the first \(n\)
terms. Given \(a_{6} = 5\)
and \(q = 1\),
find the sum of the first five terms of the sequence.
\(s_{5} = 25\)
\(s_{5} = 31\)
\(s_{5} = 6\)
\(s_{5} = 30\)
9000072708
Level:
B
We are given six consecutive terms of an arithmetic sequence. Find
\(x\).
\[
\frac52,\ a,\ x,\ b,\ c,\ 5
\]
\(x = 3.5\)
\(x = 3\)
\(x = 4\)
\(x = 3.75\)