1003187306
Level:
A
Let \( |2x+6|-4=0 \). Choose the correct statement.
The equation has two solutions.
Any real value of \( x \) is a solution.
The equation has just one solution.
The equation has no solution.
A
1003187301
Level:
A
Which equation has the solutions \( -1 \) and \( 9 \)?
\( |2x-8|=10 \)
\( |2x-10|=8 \)
\( |2x+8|=10 \)
\( |2x+10|=8 \)
1003187201
Level:
A
If \( \sqrt{x^2-8x+16}=4-x \), then the number \( x \) can be equal to:
\( -2 \)
\( 10 \)
\( 6 \)
\( 8 \)
1103187409
Level:
A
The graph shows the set of all real numbers that satisfy the inequality
\( |3x-12| \leq 15 \). Determine \( k \).
\( k = 9 \)
\( k = 4 \)
\( k = 5 \)
\( k = 2 \)
1103187408
Level:
A
Identify the graph which shows the solution set of the inequality \( |2x-12| > 6 \).
1003187407
Level:
A
Find the solution set of the inequality \( |12-6x| < 2 \).
\( \left( \frac53;\frac73 \right) \)
\( \left( -\frac73;-\frac53 \right) \)
\( \left( -\frac73;\frac53 \right) \)
\( \left( -\frac53;\frac73 \right) \)
1003187406
Level:
A
How many natural numbers belong to the solution set of the inequality \( |4x-10| \leq 6 \)?
\( 4 \)
\( 2 \)
\( 3 \)
\( 0 \)
1103187404
Level:
A
The solution set of an inequality is graphed on the number line. Determine this inequality.
\( |4-x| > 41 \)
\( |x-3| < 42 \)
\( |x-2| > 42 \)
\( |1-x| > 43 \)
1003187002
Level:
A
Evaluate the expression \( \left|\left(1-\sqrt2\right)^2 \right|+\left|\left(1+\sqrt2\right)^2\right|-|-6| \).
\( 0 \)
\( 12 \)
\( 4\sqrt2 \)
\( -4 \)
1103108604
Level:
A
The hall’s floor needs a new tiling. All tiles used will be of the same size. The picture shows the graph of the function describing dependence of the number \( p \) of tiles needed in the hall on the area \( S \) of one tile. What is the area of the hall’s floor?
\( 10.5\,\mathrm{m}^2 \)
\( 1\:050\,\mathrm{m}^2 \)
\( 2\:100\,\mathrm{m}^2 \)
\( 42\,\mathrm{m}^2 \)