Math 73
Review Test 3
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.- Graph the following quadratic equations and determine the max/min value of the function.
(a) f (x) = −3x2 + 6x + 2
(b) f (x) = 2x2 + 8x − 4
f (x)
f (x)
x
x
4.- Solve the following equations.
(a)
1
2
2
+
=
x x+3
3x + 9
(b)
2x − 4
−3
= 2
2
x − 5x
x − 25
5.- Solve the following and WSUIN
(a) (x − 4)(x + 2)(x − 1) ≤ 0
(b) x(x − 2) > 0
6.- Find the center and radius of the following circles and graph them.
(a) (x − 4)2 + (x + 3)2 = 16
(b) x2 − 6x + y 2 − 2y = −6
f (x)
f (x)
x
x
7.- Find the equation with the following solutions.
(a) x = −3, x = 8
(b) f (1) = 0, f (4) = 0
8.- Solve the following equations.
(a) x4 − 16 = 0
(b) 3y 2/3 + 5y 1/3 − 2 = 0
(d) x3 − 64 = 0
9.- Solve the following equation and CHECK the answer.
(a)
√
x+3=6
(b)
√
2x − 3 = x − 3
(b)
√
4x2 + 3x − 5 = 2x − 3
10.- Using the following graphs find the coordinates of
(a) The vertex
(b) The y-intercept
f (x)
(c) The x-intercepts (approximate)
f (x)
x
x
-