2000001105
Level:
A
Choose the equation that has only one solution.
\(- |x-3|=0 \)
\( |x-3|+1=0 \)
\( |x-3|=3 \)
\( 3+|x-3|=0 \)
Absolute value equations and inequalities
2000001104
Level:
A
Choose the equation that has no solution.
\( |3x-5|=-1 \)
\( |3x-5|=0\)
\( |3x-5|=1 \)
\( 3|x+5|=0 \)
2000001103
Level:
A
Choose the equation that has only positive solutions.
\( |x-5|=3\)
\( |x-3|=5\)
\( |x-2|=2\)
\( |x+10|=8\)
2000001102
Level:
A
Find the solution set of the equation \( |x-1|=12 \).
\(\{-11;13\}\)
\(\{-13;11\}\)
\(\{-11\}\)
\(\{13\}\)
2000001101
Level:
A
Find the solution set of the equation \(|x + 1| = 0\).
\(\{-1\}\)
\(\emptyset\)
\(\{-1;1\}\)
\(\{1\}\)
Absolute Value Equations
Submitted by ladislav.foltyn on Sat, 03/02/2019 - 16:24Parameter in Absolute Value Equations
Submitted by ladislav.foltyn on Sat, 03/02/2019 - 15:561003162907
Level:
B
Find the sum of all the roots of the equation \( |x+4|=|2x-7| \).
\( 12 \)
\( 11 \)
\( -11 \)
\( 23 \)
1003162906
Level:
B
Find the number of the roots of the equation \( |x+3|+|x+2|=6 \).
\( 2 \)
\( 1 \)
\( 4 \)
\( 3 \)
1003162905
Level:
C
Choose the equation that is equivalent to \( \bigl| |2-x|-1 \bigr|=1 \) for \( x\in(3;\infty) \).
\( (x-2)-1=1 \)
\( -(x-2)-1=1 \)
\( -\bigl(1-(2-x)\bigr)=1 \)
\( 1-(x-2)=1 \)