Distributive Property
Use the Distributive Property
3(x + y)
3x + 3y
Combing Like Terms
x + 2 + x + 7
2x + 9
Distribute & Combine
3(x + 2) + 2x
5x + 6
Are these expressions equivalent?
2x - 2y & 2 (x - y)
Yes! ðŸ¤
What is a variable?
The letter or letters in an expression
Use the Distributive Property
5(a - z)5a - 5z
Combing Like Terms
13 + 4a - 13 + 3a
7a
Distribute & Combine
2(3 + 3x) – 2x
6 + 4x
Are these expressions equivalent?
21x - 7y & 6(3x - y)
No! ðŸ˜
What is a coefficient?
The number in front of the a Variable
Use the Distributive Property
7(3x + 2)
21x + 14
Combing Like Terms
3p + 7c + 3c + 7p
10c + 10p
Distribute & Combine
2 + 4(x + 1) + x
5x + 6
Are these expressions equivalent?
4(2a + 3v) & 8a + 12v
Yes!ðŸ¤
What is an expression?
A math phrase that has numbers, variables and operators like + and -
Use the Distributive Property
8(2x + 3y)
16x + 24y
Combing Like Terms
8x + 2x + 5 + 10 -10x
15
Distribute & Combine
11a – a + 2(a – 3)
12a - 6
Are these expressions equivalent?
8(3x + c) -1 and 8c + 24x - 1
Yes!ðŸ˜
What are the coefficients in the expression?
3x+5z+33+6b
x, z, and b
Use the Distributive Property
9(2b + 11c)
18b + 99c
Combing Like Terms
2y + 3c + 5 + y + 3 - c
3y + 2c + 8
Distribute & Combine
12 + 3(x + y) + 2y + 10
3x + 5y + 22
Are these expressions equivalent?
3(2x + 11) and 2(3x + 15)
No! ðŸ˜ðŸ’€
What are like terms?
Must have the same base or variable and the same exponent or power