Harford Community College Name____________________
STEM Division Date_____________________
Spring 2009 Instructor: S. Rook
MATH 101: College Algebra โ Practice Exam I; Chapters P.6 โ 2
You will be given the following formulas to use on the exam โ you will have to
memorize anything not here:
Quadratic Equation:
a
acbb
x
2
4
2
โยฑโ
=
Std. Eq. of a Quad:
(
)
khxaxf +โ=
2
)(
Distance Formula:
( ) ( )
2
21
2
21
yyxxd โ+โ=
Midpoint Formula:
๏ฃท
๏ฃธ
๏ฃถ
๏ฃฌ
๏ฃญ
๏ฃซ++
=2
,
2
2121
yyxx
M
Std. Eq. of a Circle:
(
)
(
)
2
22
rkyhx =โ+โ
Vertex Formula:
( )
hfk
a
b
h=
โ
=;
2
Slope Formula:
12
12
xx
yy
mโ
โ
=
Point-slope Formula:
(
)
11
xxmyy โ=โ
Slope-intercept form:
bmxy
+
=
Standard form:
CByAx
=
+
1) Divide โ
leave in a + bi format
:
i
i
5
1
45
+
โ
2) Determine the value of the following โ
only use i, -1, -i, or 1
:
i
484
3) Solve the following:
7234 =+โx
4) Solve
by completing the square
: 2
x
2
โ 8
x
โ 48 = 0
5) Solve
by using the quadratic formula
:
163
2
โ=โ xx
6)
Solve
,
graph
on a number line, AND
write in interval notation
: -8x + 3 > 1 โ 4(x โ 5)
7) Solve โ
exclude any extraneous solution
: 553 =โ+ xx
8) Solve
by factoring
over the complex numbers: 024273
24
=++ xx
9) Give the equation of the circle
in standard form
with center point (-1, -4) and passing
through the point (-2, -2)
