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INTERMEDIATE
ALGEBRA
EXAM 4 DR*
NAME __________________
SHOW ALL WORK ON THIS TEST
OR ON SEPARATE PAPER. Circle
answers.
TURN IN ALL
WORKSHEETS. CALCULATORS ARE
PERMITTED ON THIS TEST.
1.
Graph the equations:
a)
b)
2x + 3y = –10
slope = ____
x-int = ____
y-int =
____
y-int = ____
2.
Given the points ( 2, –1 ) and (–2, –3 ), find:
a) midpoint
b) slope
c) distance
3. Find the equation
of the line, in y = mx + b form,
passing through
( 2, –1 ) and
(–2, –3 ).
4.
Find the equation of the line (y=mx+b form) that passes through (
–2 , 5 )
a) and parallel to 5x
+ 3y = –10.
b) and perpendicular
to 5x + 3y = –10.
In
5 – 8, solve the systems of equations. Show work algebraically!
5.
9x – 4y =
2 6.
2x – 6y =
12
2x + 5y = –29
– x + 3y = – 6
7.
– 8x + 6y = 32
8.
Solve
for y:
x = 2y + 6
5x - 3y = 3
4x
- 5y = 9
9.
Graph the intersection of
y ≤ – 3x + 3
2x – 5y > – 10
10. If
a) f(2) =
b)
f(–2) =
c) f(0)
=
d) f(–4)
=
e)
f(Junk)=
11. Find the domain (interval notation when appropriate):
a)
y = x2
– 25 b)
c)
d)
12.
Find the domain and range of each of the following graphs.
Determine whether each is a function or not a function.
Domain: _________
Domain:
_________
Range: __________
Range: __________
Function? _______
Function? _______
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