The Midwest is just like the rest of the country in that there are common weeds that plague them.
The first weed common to the Midwest that you need to look out for is Common Mullien. This plant that can grow to massive heights if it is left unattended; it normally grows in pastures and along the road where it isn’t much trouble but when introduced to expensive landscaping beds and to gardens everywhere it can prove to be a big problem. The flowers are small and are generally white or yellow and the leaves are broad and kept close to the stalk of the plant. You can get rid of this plant through simple weeding but you can also use herbicides if you choose. In some cases, you can pre-treat your garden or bed with herbicide or weed stop (material that keeps weeds out).
Another weed that is common is the Oxeye Daisy, named so for their large, protruding, yellow centers. These are the type of weed that is pretty to look at until it takes over your garden and smothers out the other plants. It grows to about two feet at its tallest and is generally not that much of a problem to get rid of. You can pull this weed easily and as long as you get the root clump or pull off the top of the plant then spray the clump afterword it won’t come back.
The next plant to look out for is Western Salsify. This plant has long, slender leaves that grow in tight clumps that are topped with spiny yellow flowers. These are relatively invasive plants that can take over quite quickly. They generally grow in cultivated soil and can be removed in any which way that you choose. If you are removing them from a garden that produces food I would recommend simply weeding with no herbicide, as I would suggest for any weed found in a vegetable garden. If you are weeding in a landscaped area or a flower bed you could use herbicides as long as you made sure to protect your other plants.
The last weed that I want to mention is Cinquefoil. This plant has a creeping root and can invade quickly. This plant consists of many bunches of five leaves on stalks of various heights. The leaves have serrated edges (pointy) and the flowers when they bloom are yellow. If you keep your garden or lawn well fertilized you may not have to worry about this weed as generally it prefers soil with a low pH. You can simply pull this plant, there is no need for herbicides. Again, as with any of these plants, it is completely up to the individual that is removing the weed how to get rid of them. I am not particularly fond of herbicides as I cannot really know what they are doing to myself or the environment but if you prefer herbicides to traditional weeding just be sure you do it correctly.