Like Terms
Another name for the letters in a math equation or expression.
Variable
what is a polynomial?
an equation or expression with many terms
One way to subtract polynomials, is to change the "minus sign" to a/an ______
addition sign
(3x + 4y) + (5x + 2y)
8x + 6y
(5x + 3y) - (4x + 2y)
x + y
For terms to be "like terms", the letter has to have the same_____________.
Exponents
Number of steps to adding "like terms"
2
When I change the "minus sign" to an "addition sign" in the following example:
(4x - 3y) - (3x + 2y)
I must change the signs of ___________
terms in the second parenthesis
(4x2-5x)+(2x2-4x)
6x2-9x
(3y2+ 2x) - (4y2+ 4x)
-y2- 2x
True or False
4r2 + 3r4= 7r6
False
When adding "like terms" you must group
_________ _______ together
like terms
When combining like terms in the following example, the answer will contain __ terms.(5x + 4x2 - 3xy) - (4xy - 3x2 - 3y)
4
(3y2 - 5xy + 2x) + (9y2 +4xy + 3x)
12y2 - xy + 5x
(3xy - 5x) - (2yx + 7x)
yx - 12x
The number "4" in the term 4x3y8 is called
coefficient
After you have grouped like terms together, the next step is to_______ them together
Add
If P = 3x2 + x, Q = 2x2 +3x and R = 6x, what is P + Q - R ?
5x2+ 10x
(4x3 - 4xy +5y2) + (4xy + 7y2)
4x3 + 12y2
(-4x2 + 3x + 5) - (-3x2 +2x - 8)
x2 - x + 13
Difference between a math expression and a math equation
= equals sign
How many terms are in the following expression?
5xy4 + 3x4y + 3x5 +2x + 2y
5
If P = 3x2 + xy, Q = 2x2 - xy + 3y and R = 6x + 4xy,what is P + Q - R ?
5x2-6x-4xy
(3xy2 +2x2y +x2y2)+(5x2y2 - 2x2y +3xy2)
6xy2 + 6x2y2
(–9n2 – 5n3 – 3n) – (–10n3 – 12n – 7n2)
5n3 - 2n2 + 9n