college student looking to buy a pc under 700$

I pasted your initial build and my revised build below, I was getting $900 for you build, not $700, most likely because of taxes/shipping.

The games you listed are not that CPU intensive so we want to maximize the GPU while getting a CPU that won't bottleneck. The pentium G4560 is probably the best performance per dollar CPU on the market today and actually is not that much slower than the i5-6500. So went with a G4560 and an RX 580-4GB, this will be much faster.
http://www.gamersnexus.net/guides/2913-when-does-the-intel-pentium-g4560-bottleneck-gpu

Also changed the RAM to DDR4 2400MHz C15 with two sticks so it can run in dual channel mode (slightly faster). You have two available slots on the mobo in case you want to go to 16GB.

The 850 EVO is a fast SSD and is highly recommended but will not affect gaming performance. I believe a better choice for you is a slightly slower one which is larger, went with the 275GB MX300, same price.

Changed the PSU to the higher rated S12II Seasonic which is 620W, same price.

Change your monitor to a 24" with a faster response time, good reviews.

Initial Build
PCPartPicker part list: https://pcpartpicker.com/list/PfHcLD
Price breakdown by merchant: https://pcpartpicker.com/list/PfHcLD/by_merchant/

CPU: Intel - Core i5-6500 3.2GHz Quad-Core Processor ($165.76 @ Amazon)
Motherboard: Gigabyte - GA-B250-HD3 ATX LGA1151 Motherboard ($76.98 @ Newegg)
Memory: Crucial - 8GB (1 x 8GB) DDR4-2133 Memory ($54.88 @ B&H)
Storage: Samsung - 850 EVO-Series 250GB 2.5" Solid State Drive ($99.89 @ OutletPC)
Video Card: EVGA - GeForce GTX 1050 Ti 4GB SC GAMING ACX 2.0 Video Card ($144.89 @ OutletPC)
Case: Thermaltake - Versa N21 ATX Mid Tower Case ($39.99 @ Newegg)
Power Supply: Corsair - CXM 450W 80+ Bronze Certified Semi-Modular ATX Power Supply ($46.99 @ Amazon)
Operating System: Microsoft - Windows 10 Home OEM 64-bit ($92.99 @ Amazon)
Sound Card: Asus - Xonar DG 24-bit 96 KHz Sound Card ($27.99 @ SuperBiiz)
Monitor: Asus - VS228H-P 21.5" 1920x1080 Monitor ($98.99 @ SuperBiiz)
Keyboard: Logitech - K120 Wired Standard Keyboard ($10.89 @ SuperBiiz)
Mouse: Corsair - M65 PRO RGB FPS Wired Optical Mouse ($39.99 @ Amazon)
Total: $900.23
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-06-21 08:54 EDT-0400

Revised Build
PCPartPicker part list: https://pcpartpicker.com/list/mcm6bj
Price breakdown by merchant: https://pcpartpicker.com/list/mcm6bj/by_merchant/

CPU: Intel - Pentium G4560 3.5GHz Dual-Core Processor ($68.99 @ SuperBiiz)
Motherboard: Gigabyte - GA-B250-HD3 ATX LGA1151 Motherboard ($76.98 @ Newegg)
Memory: G.Skill - Ripjaws 4 series 8GB (2 x 4GB) DDR4-2400 Memory ($59.92 @ Amazon)
Storage: Crucial - MX300 275GB 2.5" Solid State Drive ($99.89 @ OutletPC)
Video Card: Asus - Radeon RX 580 4GB Dual Video Card ($209.98 @ Directron)
Case: Thermaltake - Versa N21 ATX Mid Tower Case ($39.99 @ Newegg)
Power Supply: SeaSonic - S12II 620W 80+ Bronze Certified ATX Power Supply ($47.79 @ SuperBiiz)
Operating System: Microsoft - Windows 10 Home OEM 64-bit ($92.99 @ Amazon)
Monitor: BenQ - GL2460HM 24.0" 1920x1080 60Hz Monitor ($119.00 @ Amazon)
Keyboard: Logitech - K120 Wired Standard Keyboard ($10.89 @ SuperBiiz)
Mouse: Corsair - M65 PRO RGB FPS Wired Optical Mouse ($39.99 @ Amazon)
Total: $866.41
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-06-21 09:18 EDT-0400