BASIC MATH INTRODUCTORY AND
INTERMEDIATE ALGEBRA UPDATED
ACTUAL QUESTIONS AND CORRECT
ANSWERS COMPLETE STUDY GUIDE FULL
SOLUTION
●● When you get an answer that it -7x = -7x, what is that called?
Answer: an IDENTITY
(solution set is all real numbers)
●● When you are asked to "solve the equation" XkXX = XXXXk
Answer: SOLVE FOR K (k=?) (solutions set)
Solve on both sides, move variables to one side and numbers to the other
●● When there are a bunch of fractions in a XXX = XXX "find X"
problem, you
Answer: find the least common denominator (what is the least biggest
number they all have in common) and divide BOTH sides by that # to
clear the fractions
●● How to solve equations where fraction + fraction = something and
the X is on the numerator? (sometimes something is being added to it
too!!)
, Answer: 1. find the biggest number the denominators can go into (LCD),
2. rewrite each fraction with denominator AND multiply the numerators
too (simplify - combine like terms)
3. to get rid of the fraction, multiplu by the DENOMINATOR ON
BOTH SIDES
4. SOLVE FOR X
●● Y (part) is what percent of X (whole) FORMULA
Answer: %/100 ( part DIVIDED BY whole)
●● example: X/100 = 20% solve (FORMULA)
Answer: 1. convert the percent to a decimal (move it 2 times to the
LEFT)
2. then MULTIPLY that # by the base and you get your answer!
●● When (rate of commission) a % is calculated and it comes out as a
decimal, you will ..
Answer: multiply is by 100!! (period goes 2 spaces to the RIGHT)
●● 13 to the 1st power is
Answer: 13
●● 13 to the second power is written as
INTERMEDIATE ALGEBRA UPDATED
ACTUAL QUESTIONS AND CORRECT
ANSWERS COMPLETE STUDY GUIDE FULL
SOLUTION
●● When you get an answer that it -7x = -7x, what is that called?
Answer: an IDENTITY
(solution set is all real numbers)
●● When you are asked to "solve the equation" XkXX = XXXXk
Answer: SOLVE FOR K (k=?) (solutions set)
Solve on both sides, move variables to one side and numbers to the other
●● When there are a bunch of fractions in a XXX = XXX "find X"
problem, you
Answer: find the least common denominator (what is the least biggest
number they all have in common) and divide BOTH sides by that # to
clear the fractions
●● How to solve equations where fraction + fraction = something and
the X is on the numerator? (sometimes something is being added to it
too!!)
, Answer: 1. find the biggest number the denominators can go into (LCD),
2. rewrite each fraction with denominator AND multiply the numerators
too (simplify - combine like terms)
3. to get rid of the fraction, multiplu by the DENOMINATOR ON
BOTH SIDES
4. SOLVE FOR X
●● Y (part) is what percent of X (whole) FORMULA
Answer: %/100 ( part DIVIDED BY whole)
●● example: X/100 = 20% solve (FORMULA)
Answer: 1. convert the percent to a decimal (move it 2 times to the
LEFT)
2. then MULTIPLY that # by the base and you get your answer!
●● When (rate of commission) a % is calculated and it comes out as a
decimal, you will ..
Answer: multiply is by 100!! (period goes 2 spaces to the RIGHT)
●● 13 to the 1st power is
Answer: 13
●● 13 to the second power is written as
