Vocab
Two terms with the same variable.
What are like-terms.
(Must also have the same exponent)
5(4+3)
23
5(7)
5(4+3)
5(7)
6x+10x+2
16x+2
4x
2x(2x)
4(x)
2(2x)
2x(2x)
3(x+4)
One possible answer: 3x+12
The property that allows you to rearange the terms.
What is Commutative?
(Only works with addition or multiplication)
5(x+5)
5(x+25)
5x+25
5(x+5) = 5x+25
x(3+4)+2x
9x
8a+2b
2a+8b
2(4a+b)
2b+8a
2a+8b
6x
One possible answer: 2x+4x
The property that allows you to factor out a like-term.
What is distributive?
4w+8z
4(w+8z)
4(w+2z)
12wz
4w+8z
4(w+2z)
82+7x-2(x+4)
5x+56
4k+5
(4k)3+2
12k+2
4k+5
3x+x2
One possible answer: x(3+x)
The answer to a muliplication problem.
What is the product?
2d+3p
5dp
dp(2+3)
5dp
dp(2+3)
x(4x+5)+6
4x2+5x+6
4x-y
x-4y
-1(y-4x)
x-4y
8y+4xy
One possible answer: 4y(2+x)
The answer to a division problem.
What is the quotient?
xy(x+y)
x2y+xy2
x2+y2
2x+2y
xy(x+y)
x2y+xy2
3x(2x+y)+3y+4x2
10x2+3xy+3y
(8+5)m-(12j)k
13m-12jk
1mjk
8m+5m-12jk
1mjk
f2+5f-6
One possible answer: (f-1)(f+6)