Drill a hole in the wall for each anchor. Use an electric drill for concrete or wood walls and a drill or an awl for drywall. An awl has the advantage of creating less drywall dust. When using a drill, select a bit with a diameter that is slightly smaller than the diameter of the wall anchor for a tight fit.
Push the plastic wall anchor as far as it could go into the hole. Tap it gently with a hammer until the anchor is flush with the wall surface. If the anchor bends as you hammer it in, remove it with a pair of pliers and insert another anchor.
Place a screw in the center of the wall anchor. Anchors are often sold in packages that contain screws in the correct sizes. If you purchased the anchors separately, select the screw matches with the anchor. If the screw size isn't listed on the package, you may need to try a few before you find the one that fits perfectly.
Tighten the screw in the plastic wall anchor with a screwdriver. As you turn the screw, the anchor will expand to grip the sides of the hole. Do not insert the screw completely into the anchor in order to hang the object.