Download Math 73 Review Test 3 Solutions 1.- Solve 2x2

Math 73
Review Test 3
Solutions
1.- Solve 2x2 − 9x = 5 by
(a) Factoring
(b) Completing the square
(c) The quadratic formula.
2.- Solve the following by any method.
(a) (x + 3)(x − 4) = −3
(b)
!
1
x−
2
"2
=
9
4
3.- Solve the following equations.
(a)
1
2
2
+
=
x x+3
3x + 9
(b)
2x − 4
−3
= 2
2
x − 5x
x − 25
4.- Graph the following and find the domain and range.
(a) y =
√
3
x+1
(b) y =
f (x)
5.- Factor the following equations.
(b) 3y 2/3 + 5y 1/3 − 2
x−3
f (x)
x
(a) x3/5 − y 3/5
√
x
(c) x2/7 − 25
6.- Solve the following equation and CHECK the answer.
(a)
√
(b)
√
(c)
√
x+3=6
2x − 3 = x − 3
4x2 + 3x − 5 = 2x − 3
7.- For f (x) = x2 + 3x + 1, g(x) = x3 − 5, and
(a) f ◦ g(4)
h(x) =
(b) h ◦ g(−3)
x+3
7
find
8.- Use the following graph to find
f (x)
The Vertex
The y− Intercept
The x− Intercepts
x
The Domain and Range
9.- Graph the following functions and find the domain and range.
(a) f (x) = −(x + 2)2 + 9
(b) f (x) = x2 + 6x + 8
f (x)
f (x)
x
x
10.- Simplify the following radicals, if possible. Assume all variables represent nonnegative
numbers.
(a)
!
117x3 y 4
(b)
!
3
(c)
!
4
32x6 y 16
54x5 y 9
(d) (32x5 y 10 )3/5