God knows and cares for each one of us (Edward Brown)

My beloved brothers and sisters and friends, I bear earnest and solemn witness to you that the Lord does communicate with us as individuals. Never, never fall victim to the heinous thought that He does not care for you, that He does not know you. That is a satanic lie, one designed to destroy you.

Elder L. Edward Brown, April 1997 General Conference

He comprehendeth all things…(D&C 88:41)

He comprehendeth all things, and all things are before Him, and all things are round about Him; and He is above all things, and in all things, and is through all things, and is round about all things; and all things are by Him, and of Him, even God, forever and ever.

D&C 88:41

And the Lord said unto me: These two facts do exist, that there are two spirits, one being more intelligent than the other; there shall be another more intelligent than they; I am the Lord thy God, I am more intelligent than they all.

Abraham 3:19

The Lord can do His work, with or without our help (Erastus Snow)

In bygone days Elders have imagined in their hearts that their wisdom talent, and ability had something to do with it,—that the kingdom of God could not move unless their shoulder was at the wheel,—that if they held back in the breeching, they would stop the onward motion of the car. But the Lord left them covered with their own shame and folly, after he had suffered them to try the experiment; and the great car of truth still rolled steadily forward.

Erastus Snow, Journal of Discourses 7:127

we were not sent here to fail (Maxwell)

When in situations of stress we wonder if there is any more in us to give, we can be comforted to know that God, who knows our capacity perfectly, placed us here to succeed. No one was foreordained to fail or to be wicked. When we have been weighed and found wanting, let us remember that we were measured before and we were found equal to our tasks; and, therefore, let us continue, but with a more determined discipleship. When we feel overwhelmed, let us recall the assurance that God will not overprogram us; he will not press upon us more than we can bear (D&C 50:40).

Neal A. Maxwell, BYU Speeches of the Year 1978, p. 156


http://speeches.byu.edu/index.php?act=viewitem&id=909

Remember How Merciful The Lord Hath Been (Maxwell)

http://www.lds.org/general-conference/2004/04/remember-how-merciful-the-lord-hath-been?lang=eng&media=video

God Knows You (Uchtdorf)

https://www.lds.org/youth/video/god-knows-you?lang=eng

This is a day of proving ourselves, a day of trial. This is a day when men’s hearts are failing them with fear. When the multitudes in the world are asking themselves what the end will be. A few inspired men know what the end will be. The Lord has told us what would occur, in these books that are upon this stand, this wonderful library that I hold in my hand. He has given us the information that we need to adjust our lives and to prepare ourselves that no matter what may transpire we will be on the Lord’s side of the line…

The world is in a serious condition, but we need have no fear if we do what the Lord has asked us to do. This is His world. All men and women are subject to Him. All the powers of evil will be controlled for the sake of His people, if they will honor Him and keep His commandments; He has told us that in the latter days conditions would be such that people will be in fear and doubt. He has told us that the time would come when the elements would not only threaten but also that men would hate one another and seek to destroy one another and that the wicked should slay the wicked ( D&C 63:33). When we see the condition that is in the world today, how grateful we ought to be that our forebears were called from the midst of the nations and guided into the gathering place of the Saints in the tops of these everlasting hills. We should prepare to send forth sons and daughters, keeping the commandments of God, to preside in the various departments of the Church, not only in the organized stakes, but as missionaries in many parts of the world where stakes are not yet organized.

The missionaries of this Church should be as a light set upon a hill wherever they go, and they will be if they keep the commandments of the Lord. They will be able to teach the truth if they are worthy of the companionship of that sweet spirit that comes from our Heavenly Father.

Upon us who remain at home, those that are holding positions among the organized stakes of Zion, who have been called to teach and guide not only by precept but by example, upon us devolves a responsibility that our Heavenly Father will hold us accountable for, and if we will but do our best, He will bless us in it.

No matter whether the clouds may gather, no matter how the war drums may beat, no matter what conditions may arise in the world, here in the Church of Jesus Christ of Latter-day Saints, wherever we are honoring and keeping the commandments of God, there will be protection from the powers of evil, and men and women will be permitted to live upon the earth until their lives are finished in honor and glory if they will keep the commandments of our Heavenly Father.

George Albert Smith, General Conference April 1942

a tutoring God (George Q. Cannon)

But here comes the command of God to this man [Abraham] who has been taught so scrupulously about the sinfulness of murder and human sacrifice, do to these very things.  Now, why did the Lord ask such things of Abraham?  Because, knowing what his future would be and that he would be the father of an innumerable posterity, [God] was determined to test [Abraham].  God did not do this for His own sake; for He knew by His foreknowledge what Abraham would do; but the purpose was to impress upon Abraham a lesson, and to enable him to attain unto knowledge he could not obtain in any other way.  That is why God tries all of us.  It is not for His own knowledge; for He knows all things beforehand.  He knows all your lives and everything you will do.  But He tries us for our own good, that we may know ourselves; for it is most important that a man should know himself.  He required Abraham to submit to his trial because He intended to give him glory, exaltation and honor; He intended to make him a king and a priest to share with Himself the glory, power and dominion which He exercised. 

George Q. Cannon

Conference Report April 1899, p. 67

remember

“God has known you individually, brethren, for a long, long time (see D&C 93:23). He has loved you for a long, long time. He not only knows the names of all the stars (see Psalm 147:4; Isaiah 40:26); He knows your names and all your heartaches and your joys! By the way, you have never seen an immortal star; they finally expire. But seated by you tonight are immortal individuals–imperfect but who are, nevertheless, ‘trying to be like Jesus’!”

Neal A. Maxwell, “Remember How Merciful the Lord Hath Been,” Ensign, May 2004, 46

all are saved or damned according to their own choice; none are "ordained" to go to hell

You may ask, “Did [God] foreknow that they would be saved?” I have seen many in the world that never have been able to discern the difference between foreknowledge and fore-ordination. I thought that I could always discern the difference. If I know that an act will transpire tomorrow, it by no means follows that I had decreed it. It is the design, wish, desire of our Heavenly Father that every soul in this congregation should be crowned in the celestial kingdom. Will they be? No. I know that some will not. But does it follow that some are ordained to go to hell? No. It is the design of the Gospel to save this congregation, all the Latter-day Saints, and all the world besides that will believe the testimony of Jesus and become obedient to the Gospel of salvation. And none need to turn round and say, “If it is the design of the Lord, I shall be saved;” for its being the will and design of the Father, Son, and Holy Ghost, and of every Saint that ever was or ever will be, that you should, be a Saint, will not make you one, contrary to your own choice. All rational beings have an agency of their own; and according to their own choice they will be saved or damned.

Brigham Young, Journal of Discourses 6:97 (emphasis added)