Q: Are we saved by works or faith in Jesus Christ?
Thanks for your question. I will preface by saying that this is a common question that we receive on this website. I understand that there are different opinions and beliefs about this topic and we needn’t proceed to a large debate about how Mormon beliefs don’t fit in perfectly with other Christian denominations beliefs.
Mormons believe that all people can be saved through the Atonement of Jesus Christ by obedience to the laws and ordinances of the Gospel of Jesus Christ (Article of Faith 3 ). And the basic laws and ordinances that bring about salvation through Jesus Christ are: first, faith in the Lord Jesus Christ. Second, repentance of our sins. Third, baptism by immersion in water. Fourth, receiving the gift of the Holy Ghost by the laying on of hands (Article of Faith 4).
So, we are saved by the Atonement of Jesus Christ and we gain access to it by faith in Him and by obedience to his commandments.
Here are some other articles dealing with this topic.
Salvation (There is a pretty in-depth conversation on this post in the comments)