Use the Distributive Property
3(x + y)
3x + 3y
Combing Like Terms
x + 2 + x + 7
2x + 9
Factor this expression using the GCF.
9m + 21
3 (3m + 7)
Are these expressions equivalent?
2x - 2y & 2 (x - y)
Yes! ðŸ¤
All of the numbers and variables with numbers that are separated by + and - signs.
Use the Distributive Property
5(a - z)5a - 5z
Combing Like Terms
13 + 4a - 13 + 3a
7a
Factor this expression using the GCF.
16 + 4x
4(x+4)
Are these expressions equivalent?
21x - 7y & 6(3x - y)
No! ðŸ˜
The numbers that are prior to variables.
What are coefficients?
Use the Distributive Property
7(3x + 2)
21x + 14
Combing Like Terms
3p + 7c + 3c + 7p
10c + 10p
Factor this expression using the GCF.
36m + 30
6(6m+5)
Are these expressions equivalent?
4(2a + 3v) & 8a + 12v
Yes!ðŸ¤
Terms that end in the same variable and raised to the same power if necessary.
What are like terms?
Use the Distributive Property
8(2x + 3y)
16x + 24y
Combing Like Terms
8x + 2x + 5 + 10 -10x
15
Factor this expression using the GCF.
80y + 56
Are these expressions equivalent?
8(3x + c) -1 and 8c + 24x - 1
Yes!ðŸ˜
Letter or symbol used to represent an unknown.
What is a variable?
Use the Distributive Property
9(2b + 11c)
18b + 99c
Combing Like Terms
2y + 3c + 5 + y + 3 - c
3y + 2c + 8
Factor this expression using the GCF.
28x + 56y
28(x+2y)
Are these expressions equivalent?
3(2x + 11) and 2(3x + 15)
No! ðŸ˜ðŸ’€
Name the constants, coefficients, terms, and variables in the below expression.
7x + 8y + 9 - 4x + 17x + 10
Constant- 9,10
Coefficient- 7, 8, -4, 17
Terms- 7x. 8y, 9, -4x, 17x, 10
Variables- x, y