Download Algebra II

Algebra II
Exam Review 1
1. Find the slope.
6. Solve and graph.
a. 3x  2  13
a. (3,2)and (5,8)
b. 2x  1  29
b. 3x  4y  12
c. x  7  10
c. parallel to x  2y  8
d. 3 x  2  12
d. perpendicular to 5x  y  6
2. Write the equation of the line.
7. Give the equation.
a.
a. through (6,1)and (2,4)
b. parallel to y  3x  2 through the
point ( 4,3)
c. perpendicular to 3x  2y  8
through the point (6,2)
3. Find the explicit formula (in terms of
n) for the given sequence.
a. 5,8, 11,14,17, ...
b. 0.04,0.2,1,5,...
8. Give the property.
a. 6  5  5  6
b. 3(b  d )  3b  3d
c. a  b  c  a  b  c
d. 5 
4. Find each sum
a. S20; 3,8,13,18,23,...
b. S10; 3,6,12,24,...
5. Find the first 4 terms. t1= 2,
tn = tn-1 +3
1
1
5
e. 4  ( 4)  0
f. 3  0  3
b.
f ( x)  4 x  5
9.
12. Is (2, -4) a solution for
g ( x)  2 x  1
3x  y  2
w( x)  x  3
 x  y  6
j ( x)  x 2  x  2
a. j( 3)
13. Solve the following.
b.
f  g (x) 
c.
f  g (x) 
d. w1 ( x) 
e.
f  g (2) =
10. Find the domain.
a. f ( x ) 
x 3
x 5
b. f ( x )  x  6
a. Find two numbers whose sum is 66
and whose difference is 40.
b. The perimeter of a rectangle is
44 inches. If the length is
increased by twice the width, the
result is 31 inches. Find the
length and width of the rectangle.
c. A group of students go out for
lunch. If two have hamburgers
and five have hot dogs, the bill will
be $8. If five have hamburgers
and two have hot dogs, the bill will
be $9.50. What is the price of a
hamburger?
c. f ( x )  x 2  3x  1
d.
11 Solve.
a.
b.
x 3
, and find
x x 2
asymptotes
2
2 x  4 y  8
5 x  y  9
x  6 y  9
x  3y  6
14. Solve by graphing.
2x  y  3
x  2y  4