AMATYC SML Training Session –
October 1, 2009
As
always, these will be posted, with solution, to my website: www.montgomerycollege.edu/~rpenn
Additional
problems are available at the AMATYC website, http://www.amatyc.org
- What is the slope of a line parallel to the line
with equation 2x – 5y = 10?
A. 2/5 B. -2/5 C. 5/2 D.
-5/2 E. -2
- If f(x) = 3x-2, find f(f(f(3)))
A.
19 B. 55 C. 75 D.
107 E. 163
- If h(x) = 2x-8, find
A. -4 B. ¼ C. 7 D. 11 E.
20
- Suppose f(x) = ax+b,
and g(x)=bx+a (a, b are
integers). If f(1)=8 and
f(g(50))-g(f(50))=28, find the product
A. 5 B. 12 C. 48 D. 182 E. 210
- If L has equation ax+by=c,
M is its reflection across the y-axis, and N is its reflection across the
x-axis,
which of
the following must be true about M and N for all nonzero choices of a, b, and
c?
A. The x-intercepts are equal B. The y-intercepts are equal
C. The slopes are equal D. The slopes are opposite
E.
The slopes are reciprocals
- Which of the following is NOT a factor of
?
A. x-2 B. x+2 C. x-1 D.
x+1 E. x-3
- What is the remainder when x3 - 2x2 +4
is divided by x+2?
A. -12 B. 0 C. 4 D. 6 E. 12
- A newspaper advertises that it sells the Sunday
paper for one-third the price of the rest of the week’s papers.
If a
weekly subscription costs between $2.20 and $2.30, what is the cost of one
Sunday paper and one daily paper?
A. 56¢ B. 81¢ C. 84¢ D. 87¢ E.
$1.12
- What is
the coefficient of
in the expansion of 
A. -2 B. -1 C. 2 D. 7 E. 9
- Which of
the following is a factor of
?
A. 
B. 
C. 
D. 
E. 
- When the polynomial P(x) is divided by (x-2)2 , the remainder is 3x-3. What is the
remainder when (x-1)P(x) is divided by (x-1)
(x-2)2 ?
A.
3x-3 B. 3x2 – 6x + 3 C. 3 D.
x-1 E. x-2