Pt1420 Unit 1 Exercise 1

-What is the domain of an algebraic expression? Domain is a set of values for the variable for which the expression makes sense. You can’t have zero in the denominator. As a result of this, restrictions are needed to list the values for the variables in which the denominator would equal zero.
Closed dot on timeline = [ ] brackets. Which means that number is included.
Open dot on timeline = ( ) parenthesis. (Infinity always uses parenthesis). Which means that number is not included.

Example:
3x2 - x + 5 Domain = All Whole Integers. It’s all whole integers because any whole integer value would make the expression make sense.

Example:
3x-5 Domain = All Whole Integers except x cannot equal 5.

- How do you find restrictions...

x 0

Example: x2 -3xx2 - 9= x(x - 3)(x+3) (x-3) = xx+3
(You can factor out (x-3), into ones because they are like factors) this will leave you with xx+3

-What is reduced form? When all factors common to numerator and denominator have been removed. An example is above ^. The reduced form of the above expression would be xx+3

-What are like factors? Like terms? Numbers that multiply together to get another number. Like terms are variables that are the same.

Example: x-5x-5= 1 because x-5 and x-5 are like terms, meaning they factor out to one over one which is equivalent to one.

-What are factors? Factors are whole numbers of a number that can be multiplied together to get the original number.

Example:
Factors of 50 include: 50 and 1, 25 and 2, 10 and 5
(This is because each set can be multiplied together to get 50.)

-What is an equivalent? Having a particular property in common; also known as being equal. Two fractions or rational expression are equivalent when they have equal denominators.

Example:
5+4-23x-10+ 433x-10 these two fractions are equivalent since they have the same domain enables the numerators to be reduced without changing the