2000001101
Level:
A
Find the solution set of the equation \(|x + 1| = 0\).
\(\{-1\}\)
\(\emptyset\)
\(\{-1,1\}\)
\(\{1\}\)
A
2000001006
Level:
A
Find the solution set of the equation \(2(x-7)\left(x+\frac{1}{2}\right)=0\).
\(\left\{-\frac{1}{2},7\right\}\)
\(\left\{-7,\frac{1}{2}\right\}\)
\(\{-1,14\}\)
\(\{-14,1\}\)
2000001005
Level:
A
Find the solution set of the equation \(x^2 = 25\).
\(\{-5, 5\}\)
\(\{5\}\)
\(\{0, 5\}\)
\(\{-25, 25\}\)
2000001004
Level:
A
Find the solution set of the equation \(3x^2 + 15x = 0\).
\(\{-5, 0\}\)
\(\{ -5\}\)
\(\{0, 5\}\)
\(\left\{0, \frac{1}{5}\right\}\)
2000001003
Level:
A
Which of the following equations has the solution set \(K=\left\{-\sqrt{3}, \sqrt{3}\right\}\)?
\(3x^2-9=0\)
\(x^2+9=0\)
\(x^2-9x=0\)
\(3x^2-1=0\)
2000001002
Level:
A
Which of the following equations has the solution set \(K=\{0, 10\}\)?
\(x^2-10x=0\)
\(10x^2-x=0\)
\(x^2-10x=10\)
\(x^2+10x=0\)
2000001001
Level:
A
Which of the following equations has the solution set \(K=\{-1, 3\}\)?
\( (x+1)(x-3)=0\)
\( (x-1)(x+3)=0\)
\( 5(x-1)(x+3)=0\)
\( (x+1)(x-3)=1\)
2000000906
Level:
A
Evaluate the definite integral \(\int\limits_{\pi}^{2\pi}\sin x\,\mathrm{d}x\).
\(-2\)
\(-1\)
\(-\frac{\pi}{2}\)
\(0\)
2000000905
Level:
A
Evaluate the definite integral \(\int\limits_1^{2}x\, \mathrm{d}x\).
\(\frac{3}{2}\)
\(1\)
\(6\)
\(3\)
2000000904
Level:
A
Evaluate the definite integral \(\int\limits_0^{1}x^3\,\mathrm{d}x\).
\(\frac{1}{4}\)
\(1\)
\(\frac{1}{3}\)
\(3\)