INDICES
(1). Simplify 125-1/3 x 49-1/2 x 100
(A) 350 (B) 35 (C) 1/35 (D) 1/350
Solution :-Using “CASIO fx-991MS/570MS”
calculator. when raising a negative fraction to the power put brackets to avoid errors when using the calculator i.e. 125(-1/3) except it is a positive whole number
[ON] [1] [2] [5] [^] [(] [(-)] [1] [ab/c] [3] [)] [X] [4] [9] [^] [(] [(-)] [1] [ab/c] [2] [)] [X] [10] [^] [0] [=] (1/35) Option “C” is the correct answer
(2). Simplify 92x-3 = 3x+3
(A) -3 (B) 3 (C) 2 (D) 5
Solution using “CASIO fx-991MS” calculator when performing calculations raised to the power i.e. 92x-3 or 3x+3 put brackets to avoid error i.e. 9(2x-3) or 3(x+3) since there is equal sign in the question given make left axis=92x-3, right axis=3x+3 Note:-left axis must be equal to right axis example a=a, or 31=31. The left axis and the right axis must be the same. To trace the answer in the options given make x=any of the answers numbers given in option A, B, C, D one after the other. If the left axis is equal to the right axis then the option is correct, but if the left axis is not equal to the right axis .then the options is wrong. Checking option A,B,C,D
Checking option (A)-3 make x=-3
Using CAS1O fx-991MS calculator
[ON] [(-)] [3] [SHIFT] [STO] [X] (x=-3)
Note:-Please use the key [AC] during calculations after you press the key [ON] on any question given
[AC] [9] [^] [(] [2] [ALPHA] [X] [-] [3] [)] [=] (0.000000002) [3] [^] [(] [ALPHA] [X] [+] [3] [)] [=] (1)
Option (A) is wrong go to the next option
Checking option (B) 3 make x=3
[AC] [3] [SHIFT] [STO] [X] (x=3)
Press [↑] [↑] [=](729) Press [↑] [↑] [=](729)
If left axis is equal to Right axis, option (B) is correct
Checking option (C) 2 make x=2
[AC] [2] [SHIFT] [STO] [X] (x=2)
Press [↑] [↑] [=] (9) Press [↑] [↑] [=] (243)
If left axis is not equal to right axis option (C) is wrong
Checking option (D) 5 make x=5
[ON] [5] [SHIFT] [STO] [X] (x=5)
Press [↑] [↑] [=] (4,782,969) Press [↑] [↑] [=] (6,561)
If left axis is not equal to right axis, option (D) is wrong
The correct answer is option (B)
(A) 350 (B) 35 (C) 1/35 (D) 1/350
Solution :-Using “CASIO fx-991MS/570MS”
calculator. when raising a negative fraction to the power put brackets to avoid errors when using the calculator i.e. 125(-1/3) except it is a positive whole number
[ON] [1] [2] [5] [^] [(] [(-)] [1] [ab/c] [3] [)] [X] [4] [9] [^] [(] [(-)] [1] [ab/c] [2] [)] [X] [10] [^] [0] [=] (1/35) Option “C” is the correct answer
(2). Simplify 92x-3 = 3x+3
(A) -3 (B) 3 (C) 2 (D) 5
Solution using “CASIO fx-991MS” calculator when performing calculations raised to the power i.e. 92x-3 or 3x+3 put brackets to avoid error i.e. 9(2x-3) or 3(x+3) since there is equal sign in the question given make left axis=92x-3, right axis=3x+3 Note:-left axis must be equal to right axis example a=a, or 31=31. The left axis and the right axis must be the same. To trace the answer in the options given make x=any of the answers numbers given in option A, B, C, D one after the other. If the left axis is equal to the right axis then the option is correct, but if the left axis is not equal to the right axis .then the options is wrong. Checking option A,B,C,D
Checking option (A)-3 make x=-3
Using CAS1O fx-991MS calculator
[ON] [(-)] [3] [SHIFT] [STO] [X] (x=-3)
Note:-Please use the key [AC] during calculations after you press the key [ON] on any question given
[AC] [9] [^] [(] [2] [ALPHA] [X] [-] [3] [)] [=] (0.000000002) [3] [^] [(] [ALPHA] [X] [+] [3] [)] [=] (1)
Option (A) is wrong go to the next option
Checking option (B) 3 make x=3
[AC] [3] [SHIFT] [STO] [X] (x=3)
Press [↑] [↑] [=](729) Press [↑] [↑] [=](729)
If left axis is equal to Right axis, option (B) is correct
Checking option (C) 2 make x=2
[AC] [2] [SHIFT] [STO] [X] (x=2)
Press [↑] [↑] [=] (9) Press [↑] [↑] [=] (243)
If left axis is not equal to right axis option (C) is wrong
Checking option (D) 5 make x=5
[ON] [5] [SHIFT] [STO] [X] (x=5)
Press [↑] [↑] [=] (4,782,969) Press [↑] [↑] [=] (6,561)
If left axis is not equal to right axis, option (D) is wrong
The correct answer is option (B)
(3). If 3y + x = 9y + x and 2x – y = 8x – 3 find the values of x and y
(A) 4, 5 (B) 4, 3 (C) 3, -3 (D) 9, -9
x, y x, y x, y x, y
Solution:-Using CASIO fx-991MS calculator
Put x and y in the given option above. Left axis must be equal to right axis, If the left axis is not equal to the right axis the option is wrong
3y + x = 9y + x…………………………….(1)
2x – y = 8x – 3…………………………….(2)
From equation….(1) left axis is = 3y + x, right axis is = 9y + x
Checking option(A) 4, 5 put x = 4 y = 5
[ON] [4] [SHIFT] [STO] [X] (x = 4)
[AC] [5] [SHIFT] [STO] [Y] (y = 5)
Note:-Please use the key [AC] during calculcations after you press the key [ON] on any question given
[AC] [3] [^] [(] ALPHA] [Y] [+] [ALPHA] [X] [)] [=] (19,683) [9] [^] [(] [ALPHA] [Y] [+] [ALPHA] [X] [)] [=](387,420,489)
From equation 1 if the left axis is not equal to right axis option (A) is wrong. Since option (A) is wrong don’t bother to calculate equation 2 go to the next option
Checking option (B) 4, 3 make x = 4 y = 3
[AC] [4] [SHIFT] [STO] [X] (x = 4)
[AC] [3] [SHIFT] [STO] [Y] (y = 3)
press [↑] [↑] [↑] [=] (2,187)
press [↑] [↑] [↑] [=] (4,782,969)
From equation 1 if the left axis is not equal to right axis option (A) is wrong. Since option (A) is wrong don’t bother to calculate equation 2 go to the next option
Checking option(C) 3, -3 make x = 4, y = 3
[AC] [3] [SHIFT] [STO] [X] (x=3)
[AC] [(-)] [3] [SHIFT] [STO] [Y] (y=-3)
Press [↑] [↑] [↑] [=] (1)
Press [↑] [↑] [↑] [=] (1)
Since left axis is equation to right axis in equation 1. Equation 1 is correct to conclude go to the next equation by calculating equation 2 using CASIO fx-991MS calculator
2x – y = 8x – 3………………………………………(2)
Since x = 3 y =-3
[AC] [2] [^] [(] [ALPHA] [X] [-] [ALPHA] [Y] [)] [=] (64) [8] [^] [ALPHA] [X] [-] [3] [)] [=] (1)
From equation 2 if the left axis is not equal to right axis option (C) is wrong. Since option(C) is wrong don’t go to the next option
Checking option (D) 9, -9 make x = 9 y = -9
[AC] [9] [SHIFT] [STO] [X] (x = 9)
[AC] [(-)] [9] [SHIFT] [STO] [Y] (y = -9)
Press [↑] [↑] [↑] [↑] [↑] [=] (1) Press [↑] [↑] [↑] [↑] [↑] [=] (1) Press [↑] [↑] [↑] [↑] [↑] [=] (262,144) Press [↑] [↑] [↑] [↑] [↑] [=] (262,144)
The correct answer is option “D”
Unforgiveness is a sin, if you don’t forgive; your trespasses(sins) will not be forgiven
Reason. In Mathew 6:14-15- if ye forgive men their trespasses your heavenly father will also forgive your trespasses but if ye forgive not men their trespasses neither will your father forgive your trespasses
Also in Mark 11:25-26- And when ye stand praying forgive if you have ought against any that your father also which is in heaven will forgive your trespasses. But if ye do not forgive, neither will your father which is in heaven forgive your trespasses.
For your heavenly father to forgive your trespasses. You must forgive those that trespass against you including your enemies. In Matthew 5:44-Love your enemies, bless them that curse you, do good to them that hate you, pray for them which despitefully use you and persecute you. As a Christian/Believer of JESUS CHRIST you must forgive your enemies including those that commit evil against you because if you don’t forgive them you are in darkness. In 1 John 2:9-11 – He that saith he is in the light and hateth his brother is in darkness even until now. He that loveth his brother abideth in the light and there is none occasion of stumbling in him. But he that hateth his brother is in darkness and walketh in darkness and knoweth not wither because that darkness has blinded his eyes. A believer will say I am in the light by being a deacon, choir, usher, pastor, evangelist, But know that Christians/believers who is indulge in unforgiveness will not inherit the kingdom of God and they will spend their eternity in hell (the fire that never shall be quenched). Mark 9:43
Know that if you don’t forgive today, your prayers will not be answered. But if you are touched by the word of GOD on unforgiveness and you have make a decision in your heart to forgive whomsoever wronged you, offend you, please make this confession
LORD JESUS, as I come to you, have mercy upon me, as I forgive those that offend me today. Forgive me my trespasses; receive me into your kingdom, IN JESUS NAME AMEN.
NOW: that you have confess this prayer of unforgiveness you are free to confess the next prayer below if you are not
Born-again
if you have not born-again or given your life to Jesus Christ say this prayer “Lord JESUS, as I come to you today, Have mercy upon me, Forgive me all my sins, wash me with your precious blood, save my soul, as I receive you today as my lord and personal savior, write my name in the book of life, IN JESUS NAME AMEN.
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