Multiple Choice Identify the
choice that best completes the statement or answers the question.


1.

Order the numbers 7, , , 0.6215, from least
to greatest.
a.  7, , , 0.6215,  c.  , 0.6215, , , 7  b.  , 7, , 0.6215,
 d.  , 0.6215, , 7, 


2.

What statement can be
determined from the diagram?
a.  Every square is a
rhombus.  b.  Every rhombus is a square.  c.  No parallelogram is a
rhombus.  d.  No parallelogram is a square. 


3.

Simplify
by rationalizing the denominator.


4.

Write an algebraic expression
to represent the number of letters Isabel wrote. Isabel wrote 10 letters to friends each month for x months in
a row.
a.  10x  c.   b.  10 – x  d.  10 +
x 


5.

Simplify the expression .


6.

Simplify the expression .
a.   c.  –4  b.   d.  0 


7.

Solve .
a.  =
4  c.  =
–1  b.  =
–11  d.  =
5 


8.

Solve .
a.  The solution set is all real
numbers, or .  b.  The solution set is the empty
set.  c.   d.  


9.

Solve and graph .
a.  x ³
 b.  The inequality has no solution. The solution set is the empty set.
 c.  The solution set is the set of all real numbers.
 d.  x ³



10.

A sawyer (person who cuts down
trees) wants to know the height of a tree. The sawyer measures the shadow of his friend, who is 5
feet tall and standing beside the tree, and measures the shadow of the tree. If his friend’s
shadow is 12 feet long and the tree’s shadow is 60 feet long, how tall is the
tree?
a.  144
feet  c.  25
feet  b.  1 foot  d.  53
feet 


11.

Determine if
is vertical or horizontal. Then graph.
a.  The line is horizontal.
 c.  The line is
vertical.
 b.  The line is horizontal.
 d.  The line is vertical.



12.

Classify the system , and determine the number of solutions.
a.  The system is inconsistent and
independent and has no solutions.  b.  The system is inconsistent and dependent and has no
solutions.  c.  The system is consistent and dependent and has infinitely many
solutions.  d.  The system is consistent and independent and has infinitely many
solutions. 


13.

Graph the system of
inequalities .


14.

Graph the linear equation in threedimensional space.


15.

Use elimination to solve the
system of equations .
a.  (–6, –13.2,
0.7)  c.  (5, 0,
4)  b.  (14.1, –8.6,
–3.2)  d.  (10, 12,
3) 


16.

Use Cramer’s rule to
solve the system of equations.
a.  (2, 0)  c.  (78, –72)  b.  (12, –13)  d.  (13, –12) 


17.

Find the determinant of .


18.

Write the matrix equation for
the system , and solve.
a.  ; (–44, –39)  b.  ; (–46,
41)  c.  ; (–6,
49)  d.  ; (–53,
6) 


19.

Add. Write your answer in
standard form.


20.

Use Pascal’s Triangle to
expand the expression .
