Download 08-09 Match 6 Questions

Match 6 Round 1 – Geometry: Lines & Angles
1.) BAC  120 , and points D, E, and F are in the interior of BAC as shown. AD bisects BAF .
AE bisects CAF . Find mDAE .
2.) Two parallel lines cut by a transversal create same side interior angles with measures (3x) and
x  .
2
Solve for x .
3.) If three times the supplement of  A is ten more than seven times the complement of  A , find the
complement of  A .
Match 6 Round 2 – Algebra 1: Literal Equations
1.) Solve for x :
( x  h) 2  x 2
y
h
2.) Solve for y :
1
1
2


y  b y  b y 1
3.) Solve for x (given b  4a )
(a  x)(2b  x)  ( x  3a)( x  b)  2a(3b  2a)
Match 6 Round 3 – Geometry: Solids & Volume
Please note: Use the symbol  in answers that involve  ; do not use a decimal approximation.
1.) A cone has a base area of 25 in2 and a volume of 100 in3. Find the height of the cone.
2.) Find the volume of a block of wood measuring 2 inches high, 4 inches wide, and 8 inches long if
there are four 1-inch diameter right cylindrical holes drilled all the way through the largest face. Leave
your answer in terms of  .
3.) A cone, a sphere, and a cylinder all have the same height and radius. Find the ratio of their
volumes.
Match 6 Round 4 – Algebra 2: Radical Expressions & Equations
1.) Simplify
(81)
3
4
 (27)
125
2
4
3
3
2.) Solve for x :
 x 1  x  3
3.) Solve for x :
2x 1  x  5
Match 6 Round 5 – Polynomials & Advanced Factoring
1.) Given the equation ax 2  7 x  12  0 where a  0 . If the product of the two roots is 6, find the
sum of the two roots.
2.) Express the following as a product of linear factors given that 4 is a zero of the function:
f ( x)  x 4  6 x3  3x 2  26 x  24
3.) Factor completely:
2  w3  1  7 1  w2 
Match 6 Round 6 – Probability & Counting Arguments
1.) What is the probability that on consecutive rolls of a die, first an odd number, then an even number
will come out?
2.) A basketball team has 6 players who play guard (2 of 5 starting positions). How many different
teams are possible, assuming that the remaining 3 positions are filled and it is not possible to
distinguish a left guard from a right guard?
3.) In a container are 3 black chips, 4 red chips, and 5 green chips. What is the probability of getting
two of the same color if two chips are drawn without replacement?
Match 6 Team Round
1.) Find the measure of angle a and angle b given the same side interior angles formed by the parallel
lines cut by the transversal, t, are trisected.
2.) Solve for x :
x(7 p  8)  r (5q  x)  3x(5 p  6q  7r )
3.) The total area of a rectangular prism is 34 inches2. Suppose all dimensions are multiplied by 4.
Find the new total area.
2
4.) Solve for xda : a 3  7a
1
3
 12 .
5.) Factor completely:
( x  y  z )( x  y  z )  ( x  y  z )( x  y  z )  ( x  y  z )( x  y  z )  ( x 2  y 2  z 2 )
6.) How many arrangements of answers are possible for a true/false test with 8 questions?