1003032306
Level:
A
The product \( \left(2x^2y+3xy^2\right)(x-y-4) \) equals:
\( 2x^3y+x^2y^2-3xy^3-8x^2y-12xy^2 \)
\( 2x^3y+2x^2y^2-3xy^3-8x^2y-12xy^2 \)
\( 2x^3y+3x^2y^2-3x^2y^2-8x^2y-12xy^2 \)
\( 2x^3y-x^2y^2+3xy^3-8x^2y+12xy^2 \)
A
1003032305
Level:
A
Simplifying the rational expressions \( \frac{(x-y)^2(p+q)^3}{2(x-y)(p+q)^4} \) we get:
\( \frac{x-y}{2(p+q)} \)
\( \frac{p+q}{2(x-y)} \)
\( 2(x-y)(p+q) \)
\( 2(x+y)(p-q) \)
1003032304
Level:
A
Reducing the rational expression \( \frac{13ab^2(c-d)}{39a^2b(c-d)^2} \) to lowest terms we get:
\( \frac{b}{3a(c-d)} \)
\( \frac{3b}{a(c-d)} \)
\( \frac{a}{3b(c-d)} \)
\( 3ab(c-d) \)
1003032302
Level:
A
The relationship between the time \( t \), the travelling distance \( s \) and the average speed \( v \) is expressed by the formula \( s = v\cdot t \). If the speed doubles, then the time to travel the same distance
will decrease by half.
will decrease by \( 2 \) hours.
will double.
will increase by \( 2 \) hours.
1003032301
Level:
A
The polynomial \( 2x^2\left(x^2+3\right)+x^2+3 \) equals:
\( \left(2x^2+1\right)\left(x^2+3\right) \)
\( 2x^2\left(x^2+3\right) \)
\( 4x^2\left(x^2+3\right) \)
\( 2x^2\left(x^2+3\right)^2 \)
1003187312
Level:
A
The solution set of an inequality in interval notation is \( (-\infty;-12]\cup[12;\infty) \). Find this inequality.
\( |x| \geq 12 \)
\( |x|\leq 12 \)
\( |x| > 12 \)
\( |x| < 12 \)
1103187311
Level:
A
Which graph shows the solution set of the inequality \( |x-3| \geq 1 \)?
1103187310
Level:
A
The solution set of an inequality is graphed on the number line. Determine this inequality.
\( |x+2| \leq 3 \)
\( |x-2| \leq 3 \)
\( |x-3| \leq 2 \)
\( |x+3| \leq 2 \)
1003187308
Level:
A
Choose the equation which has only one solution.
\( 4+|2x-6|=4 \)
\( 2-|x-3|=1 \)
\( |x-3|+2=-1 \)
\( 2-|x-3|=-2 \)
1003187307
Level:
A
The solutions of the equation \( |14-4x|=4 \) are:
the numbers differing by \( 2 \).
the numbers differing by \( 1 \).
integers.
opposite numbers.