Algebra II
1. Select from the following the one polynomial which does not have as a factor.
a) 2x+3
b)
c)
d)
e)
2. Assume that the variables and are positive. Simplify the expression ( ) .
a)
b)
c)
d)
e)
3. Write the equation of the line that is perpendicular to which passes through the
point
a)
b)
c)
d)
e)
4. One leg of a right triangle is 2 units longer than the other leg. The hypotenuse of the triangle
is 10 units in length. Find the length of the longer of the two legs.
a) 2
b) 6
c) 8
d) 10
e) 14
, 5. Which of the following is a counterexample to the following statement: For every rational
number , .
a)
b) ( ) ( )
c) (√ ) (√ )
d) ( ) ( )
e)
6. Let be a point on the graph of . Select from the following points the one
that must be a point on the graph of the inverse function .
a)
b)
c)
d)
e)
7. Determine the general term for the infinite arithmetic sequence
a)
b)
c)
d)
e)
8. Which of the following computations yield a purely real result?
a)
b)
c)
d)
e)
9. Select from the following the most accurate statement regarding the sets of numbers to which
the value of belongs.
a) complex numbers
b) complex numbers and the real numbers
c) complex numbers the real numbers , and the rational numbers
d) complex numbers the real numbers , the rational numbers , and the integers
e) complex numbers the real numbers , the rational numbers , the integers and
the natural numbers
1. Select from the following the one polynomial which does not have as a factor.
a) 2x+3
b)
c)
d)
e)
2. Assume that the variables and are positive. Simplify the expression ( ) .
a)
b)
c)
d)
e)
3. Write the equation of the line that is perpendicular to which passes through the
point
a)
b)
c)
d)
e)
4. One leg of a right triangle is 2 units longer than the other leg. The hypotenuse of the triangle
is 10 units in length. Find the length of the longer of the two legs.
a) 2
b) 6
c) 8
d) 10
e) 14
, 5. Which of the following is a counterexample to the following statement: For every rational
number , .
a)
b) ( ) ( )
c) (√ ) (√ )
d) ( ) ( )
e)
6. Let be a point on the graph of . Select from the following points the one
that must be a point on the graph of the inverse function .
a)
b)
c)
d)
e)
7. Determine the general term for the infinite arithmetic sequence
a)
b)
c)
d)
e)
8. Which of the following computations yield a purely real result?
a)
b)
c)
d)
e)
9. Select from the following the most accurate statement regarding the sets of numbers to which
the value of belongs.
a) complex numbers
b) complex numbers and the real numbers
c) complex numbers the real numbers , and the rational numbers
d) complex numbers the real numbers , the rational numbers , and the integers
e) complex numbers the real numbers , the rational numbers , the integers and
the natural numbers
