Entering the straight gate

What do the Mormon scriptures say about entering in at the strait gate?

How do Latter-day Saints understand the parable of entering in the strait gate?

The context is described more in Luke 13:23-30 than in Matthew's chapter 7.

"Then said one unto him, Lord, are there few that be saved? And he said unto them, Strive to enter in at the strait gate: for many, I say unto you, will seek to enter in, and shall not be able. When once the master of the house is risen up, and hath shut to the door, and ye begin to stand without, and to knock at the door, saying, Lord, Lord, open unto us; and he shall answer and say unto you, I know you not whence ye are: Then shall ye begin to say, We have eaten and drunk in thy presence, and thou hast taught in our streets. But he shall say, I tell you, I know you not whence ye are; depart from me, all ye workers of iniquity. There shall be weeping and gnashing of teeth, when ye shall see Abraham, and Isaac, and Jacob, and all the prophets, in the kingdom of God, and you yourselves thrust out. And they shall come from the east, and from the west, and from the north, and from the south, and shall sit down in the kingdom of God. And, behold, there are last which shall be first, and there are first which shall be last."

This is how I see it when I read the following Mormon scriptures:

"Enter ye in at the strait gate; for wide is the gate, and broad is the way, which leadeth to destruction, and many there be who go in thereat" (3 Nephi 14:13).

The broad way leads to destruction.

"And the mists of darkness are the temptations of the devil, which blindeth the eyes, and hardeneth the hearts of the children of men, and leadeth them away into broad roads, that they perish and are lost" (1 Nephi 12:17).

The devil leads one into the broad roads, away from the strait gate.

"And it came to pass that when Jesus had ended these sayings he said unto his disciples: Enter ye in at the strait gate; for strait is the gate, and narrow is the way that leads to life, and few there be that find it; but wide is the gate, and broad the way which leads to death, and many there be that travel therein, until the night cometh, wherein no man can work" (3 Nephi 27:33).

The strait gate leads to life.

But what type of life?

"O then, my beloved brethren, repent ye, and enter in at the strait gate, and continue in the way which is narrow, until ye shall obtain eternal life" (Jacob 6:11).

The strait gate leads to eternal life. The broad way leads to destruction as seen earlier.

"For strait is the gate, and narrow the way that leadeth unto the exaltation and continuation of the lives, and few there be that find it, because ye receive me not in the world neither do ye know me" (D&C 132:22).

The strait gate leads to eternal life (exaltation), which is becoming a God in Mormon theology. Those who do not reach exaltation are thrust out, destroyed so to speak, where they experience the gnashing of teeth.

See the section "Who is saved? Should Latter-day Saints be afraid?" in the What is salvation? page.