All of these book explain what variety is and the first one introduce what a scheme is:
Methods of Algebraic Geometry: Volume 1 by Hodge seems the best(edit 1)...
You could also try A Royal Road to Algebraic Geometry bu Holme: http://www.amazon.com/Royal-Road-Algebraic-Geometry/dp/3642192246/ref=sr_1_1?s=books&ie=UTF8&qid=1361144632&sr=1-1&keywords=a+royal+road+to+algebraic+geometry
and Basic Algebraic Geometry 1: Varieties in Projective Space: http://www.amazon.com/Basic-Algebraic-Geometry-Varieties-Projective/dp/3540548122/ref=pd_sim_b_1
and Algebraic Geometry 1: From Algebraic Varieties to Schemes by Ueno: http://www.amazon.com/Algebraic-Geometry-Translations-Mathematical-Monographs/dp/0821808621/ref=pd_sim_b_1
and An Introduction to Algebraic Geometry: http://www.amazon.com/Introduction-Algebraic-Translations-Mathematical-Monographs/dp/0821811444/ref=sr_1_1?s=books&ie=UTF8&qid=1361144861&sr=1-1
A beautiful book prerequisite to these books:
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra: http://www.amazon.com/Ideals-Varieties-Algorithms-Computational-Undergraduate/dp/1441922571/ref=sr_1_1?s=books&ie=UTF8&qid=1361145066&sr=1-1&keywords=ideal%2C+variety
some other more advanced text: Algebraic Geometry: An Introduction by Perrin
try this one if you have more math maturity: The Red Book of Varieties and Schemes by Mumford: http://www.amazon.com/Red-Book-Varieties-Schemes-Mathematics/dp/354063293X/ref=sr_1_1?s=books&ie=UTF8&qid=1361145485&sr=1-1&keywords=red+books+mumford
Give me your email so that i could email you the pdf of these books