MATH 104 MID-TERM EXAM WITH
ANSWERS
Quadartic Formula - .......ANSWERS 🔷🖊✔✔ax^2 + bx + c
To find X using quadratic formula - .......ANSWERS 🔷🖊✔✔X=(b±√(b^2
)-4ac)/(over)2a
Rational Exponent Form - .......ANSWERS 🔷🖊✔✔# outside root sign = Denominator
(Bottom of fraction)
# inside root sign/Exponent = numeator (top of fraction)
Restercations on/of X - .......ANSWERS 🔷🖊✔✔Values that will make the denmator
(bottom of fraction) zero
rationalize the denominator - .......ANSWERS 🔷🖊✔✔Get Rid of radical(√) in
deminator
Retionlizing the Denominator Stepts - .......ANSWERS 🔷🖊✔✔1. Simplify if possible
2. Multiply top & bottom by denominator
3. Simplify if possible
Rational Functions - .......ANSWERS 🔷🖊✔✔functions with polynomails (ex:2x+5) in
the numerator and denominator of the function
EX:F(x)=x^2+1/x-4
Rational Expressions - .......ANSWERS 🔷🖊✔✔fractions with variables in them
EX: 50ab^3(a+b)^a^2b^3(a+b)^3
, Multiplying Rational Expressions - .......ANSWERS 🔷🖊✔✔1.Factor (find two numbers
that multiply to the last # & add to the middle # ) if possible
2. Simplify until answer is in simpliest form
Dividing Rational Expressions - .......ANSWERS 🔷🖊✔✔1. Factor if possible
2. Keep first term, Change ÷ to *, Flip second term (KCF)
3. Multiply
Domain of square roots (√) - .......ANSWERS 🔷🖊✔✔set whatever is under √ to ≥ 0
Adding Rational Expressions - .......ANSWERS 🔷🖊✔✔1. Find Possible Common
Denominator
2. Multiply Fractions by a form of 1 to get common denominator
3.Simplify until not possible
Subtracting Rational Expressions - .......ANSWERS 🔷🖊✔✔1. Find Possible Common
Denominator
2. Multiply Fractions by a form of 1 to get common denominator
3.Simplify until not possible
Solving Rational Equations (Solve equation for X) - .......ANSWERS 🔷🖊✔✔1.
Multiply each term by something to clear denominators
2. Simplify if needed
3. Solve for X either by factoring or using Quardatic Formula
Solving Radicals or Roots - .......ANSWERS 🔷🖊✔✔1. Enter given number for X into
given equation
2. Simplify until not possible
Simplifing Radicals or Roots - .......ANSWERS 🔷🖊✔✔Simplify until NOT Possible
ANSWERS
Quadartic Formula - .......ANSWERS 🔷🖊✔✔ax^2 + bx + c
To find X using quadratic formula - .......ANSWERS 🔷🖊✔✔X=(b±√(b^2
)-4ac)/(over)2a
Rational Exponent Form - .......ANSWERS 🔷🖊✔✔# outside root sign = Denominator
(Bottom of fraction)
# inside root sign/Exponent = numeator (top of fraction)
Restercations on/of X - .......ANSWERS 🔷🖊✔✔Values that will make the denmator
(bottom of fraction) zero
rationalize the denominator - .......ANSWERS 🔷🖊✔✔Get Rid of radical(√) in
deminator
Retionlizing the Denominator Stepts - .......ANSWERS 🔷🖊✔✔1. Simplify if possible
2. Multiply top & bottom by denominator
3. Simplify if possible
Rational Functions - .......ANSWERS 🔷🖊✔✔functions with polynomails (ex:2x+5) in
the numerator and denominator of the function
EX:F(x)=x^2+1/x-4
Rational Expressions - .......ANSWERS 🔷🖊✔✔fractions with variables in them
EX: 50ab^3(a+b)^a^2b^3(a+b)^3
, Multiplying Rational Expressions - .......ANSWERS 🔷🖊✔✔1.Factor (find two numbers
that multiply to the last # & add to the middle # ) if possible
2. Simplify until answer is in simpliest form
Dividing Rational Expressions - .......ANSWERS 🔷🖊✔✔1. Factor if possible
2. Keep first term, Change ÷ to *, Flip second term (KCF)
3. Multiply
Domain of square roots (√) - .......ANSWERS 🔷🖊✔✔set whatever is under √ to ≥ 0
Adding Rational Expressions - .......ANSWERS 🔷🖊✔✔1. Find Possible Common
Denominator
2. Multiply Fractions by a form of 1 to get common denominator
3.Simplify until not possible
Subtracting Rational Expressions - .......ANSWERS 🔷🖊✔✔1. Find Possible Common
Denominator
2. Multiply Fractions by a form of 1 to get common denominator
3.Simplify until not possible
Solving Rational Equations (Solve equation for X) - .......ANSWERS 🔷🖊✔✔1.
Multiply each term by something to clear denominators
2. Simplify if needed
3. Solve for X either by factoring or using Quardatic Formula
Solving Radicals or Roots - .......ANSWERS 🔷🖊✔✔1. Enter given number for X into
given equation
2. Simplify until not possible
Simplifing Radicals or Roots - .......ANSWERS 🔷🖊✔✔Simplify until NOT Possible
