MATH 110
Real #s - Answers -Irrational, rational, and whole #s
Find the distance between 2 pts. on # line - Answers -Take the absolute value of the
difference between the 2 pts.
d(P,Q) = | b - a |
Which values must be excluded from the domain of the variable in the expression? -
Answers -Substitute the variables into the problem - the denominator cannot equal 0.
Negative exponents - Answers -a⁻ⁿ = 1/aⁿ
Law of Exponents - Answers -(a×)ⁿ = a×·ⁿ
(a · b)ⁿ = aⁿ · bⁿ
(aⁿb*)^ = aⁿ^b*^
xⁿx* = xⁿ⁺*
xⁿyⁿ = (xy)ⁿ
xⁿ/x* = xⁿ⁻*
xⁿ/yⁿ = (x/y)ⁿ
x⁰ = 1
a⁰ = 1 if a ≠ 0
When multiplying exponents, you add them.
Cannot distribute exponents when adding or subtracting
Ex → (5x-7)²
Square roots - Answers -√a² = |a|
Tip: Rewrite expressions without negs or neg exponents - Answers -...
Circle - Answers -A = πr²
C = πd or 2πr
Rectangular box - Answers -v = l · w · h
S.A. = 2LH + 2WH + 2LW
Sphere - Answers -V = 4/3πr³
S.A. = 4πr²
Right circular cylinder - Answers -V = πr²h
S.A. = 2πr² +2πrh
Triangle - Answers -A = 1/2bh
Real #s - Answers -Irrational, rational, and whole #s
Find the distance between 2 pts. on # line - Answers -Take the absolute value of the
difference between the 2 pts.
d(P,Q) = | b - a |
Which values must be excluded from the domain of the variable in the expression? -
Answers -Substitute the variables into the problem - the denominator cannot equal 0.
Negative exponents - Answers -a⁻ⁿ = 1/aⁿ
Law of Exponents - Answers -(a×)ⁿ = a×·ⁿ
(a · b)ⁿ = aⁿ · bⁿ
(aⁿb*)^ = aⁿ^b*^
xⁿx* = xⁿ⁺*
xⁿyⁿ = (xy)ⁿ
xⁿ/x* = xⁿ⁻*
xⁿ/yⁿ = (x/y)ⁿ
x⁰ = 1
a⁰ = 1 if a ≠ 0
When multiplying exponents, you add them.
Cannot distribute exponents when adding or subtracting
Ex → (5x-7)²
Square roots - Answers -√a² = |a|
Tip: Rewrite expressions without negs or neg exponents - Answers -...
Circle - Answers -A = πr²
C = πd or 2πr
Rectangular box - Answers -v = l · w · h
S.A. = 2LH + 2WH + 2LW
Sphere - Answers -V = 4/3πr³
S.A. = 4πr²
Right circular cylinder - Answers -V = πr²h
S.A. = 2πr² +2πrh
Triangle - Answers -A = 1/2bh
