Like Terms
What are like terms?
Like terms are terms with the same variable an exponents
Can
5x + 5y be simplified? If so, simplify it.
No
a= 4x + 4
b = -3x + 5
What is a+b? You have 30 seconds.
x + 9
-7x^2
4x^-3
1/4x^3
Are 2x and 2y like terms? Why or why not?
No. Like terms have the same variable and exponent.
Can
4x + 4x^2 + 3x be simplified? If so, simplify it.
7x + 4x^2
a = 6xy + 3x + y
b = y + 2
What is a + b?
6xy + 3x + 2y + 2
8x^4 + 6x^3
Binomial
1/z^-100
z^100
Yes they are. They have the same variable and exponent.
5x + 6x + 5xy + 2xy
11x + 7xy
a = 6x + 3x
b = -x + 3
What is a - b?
10x - 3
3x + 4y + 4
Trinomial
(-4x^3 y^5 z^7)(-2x^2 y^3)
8x^5 y^8 z^7
Are 8x and 8x^2 like terms? Why or why not?
No. Like terms have the same variable AND exponents.
4xy^2 + y^2 + 2x + 3x
4xy^2 + y^2 + 5x
3x^5 + 4x + 2
Binomial
(q^-4 (r^3))^6
r^18/q^24
Are 5xy and 5xy^2 like terms?
No. They do not have the same exponent.
You know you’re done simplifying your exponent expression when the following rules are satisfied:
a) You are not left with any ____ exponents
b) Each ____ is only written one time
c) All ____ are simplified
a) Negative
b) Exponent
c) Fractions