2010001603
Level:
B
Assuming \(x\in (1;8)\),
simplify the following expression.
\[
2|x - 8|- 2|1 - x|
\]
\(- 4x + 18\)
\( 14\)
\(4x -18\)
\(- 14\)
Absolute value
2010001604
Level:
B
Which equation describes real numbers \( x \) that are equidistant from the numbers \( -2 \) and \( 3 \) on the number line?
\( |x+2|=|x-3| \)
\( |x+2|=|x+3| \)
\( |x-2|=|x-3| \)
\( |x-2|=|x+3| \)
2010001605
Level:
B
Assuming \(x\in (3;\infty )\), simplify the following expression. \[ |2x -3| + |x + 1|-2x \]
\(x-2\)
\(-3x+4\)
\(-5x+2\)
\(-x-4\)
2010010001
Level:
B
Choose the set with all the elements satisfying the given inequality.
\[|x| < 3\]
\( x \in \{-1;0;2\}\)
\( x \in \{1;2;3\}\)
\( x \in \{-3;-2;-1;0\}\)
\( x \in \{-4;-2;0\}\)
2010010002
Level:
B
Choose the set with all the elements satisfying the given inequality.
\[ |x|>3\]
\( x \in \{-5;-4;4;5\}\)
\( x \in \{0;1;2\}\)
\( x \in \{-5;-4;-3\}\)
\( x \in \{3;4;5\}\)
2010010007
Level:
B
Choose the set equal to \( \{ x \in \mathbb{Z}: |x|< 4 \}\).
\( \{ -3;-2;-1;0;1;2;3\}\)
\( \{ 0;1;2;3\}\)
\( \{ 1;2;3\}\)
\( \{ -1;0;1\}\)
2010010008
Level:
B
Choose the set equal to \( \{ x \in \mathbb{N}: |x|< 3 \}\).
\( \{ 1;2\}\)
\( \{ 0;1;2;3\}\)
\( \{ -2;-1;0;1;2\}\)
\( \{ 1;2;3\}\)
9000078505
Level:
B
Assuming \(x\in (0;\infty )\),
simplify the following expression.
\[
3x -|2x|-|- x|
\]
\(0\)
\(2x\)
\(3x\)
\(4x\)
9000078506
Level:
B
Assuming \(x\in (-\infty ;0)\),
simplify the following expression.
\[
3x -|2x|-|- x|
\]
\(6x\)
\(4x\)
\(2x\)
\(0\)
9000078507
Level:
B
Assuming \(x\in \left (-\frac{1}
{2};6\right )\),
simplify the following expression.
\[
3 -|6 - x| + |2x + 1|
\]
\(3x - 2\)
\(x - 2\)
\(3x + 10\)
\(x + 8\)