MA902
Homework 1
Date:
Name:
Instructor: Joseph Esposito
1. Simplify the following expressions and rewrite so that there are no negative exponents. Show all your work and justify each step.
4x6 y 5 z 10
(a)
(b)
(c)
9x6 y 1 20z 2
2 u(u + 2)5/2 (2 u)
27u6 v
MA902
Homework 2
Date:
Name:
Instructor: Joseph Esposito
1. Simplify the following expressions and leave without radicals.
1
2
(a) 5(7w 2 )(2w 3 )
(b)
3
M + 2(2 + M ) 2
3
(c) (4x2 x2 )3
1
2. Expand each of the following products. Gather like terms and sim
MA902
Homework 4
Date:
Name:
Instructor: Joseph Esposito
1. For each of the following,
(a) Rewrite in the form y = a(x h)2 + k .
(b) Identify the vertex and state if it is a maximum or a minimum.
(c) Find the zeros.
(d) Find the y-intercept.
(e) Sketch th
MA902
Homework 5
Name:
Instructor: Joseph Esposito
1. Solve each of the following equations for the variable.
(a)
3
5 = 1
x1
(b)
3
2
11 =
x
3x
1
Date:
(c) 2w2 = 10 w
(d) 5z 3 3z 2 = z
2
2. Solve each of the rational equations for the variable.
(a)
(b)
(
MA902
Homework 6
Name:
Instructor: Joseph Esposito
1. Solve the systems of equations for x and y .
(a)
x+y =4
xy =2
2x + 3y = 7
(b)
3
6 y = x
5
1
Date:
(c)
ax + y 2a = 0
x 1 + ay = a2
(d)
2(x y ) = 3
x = y + 3(x 5)
2
(e)
x2 + y = 4
y 1 = 2x
(f)
xy = 4
x +