Warm Up Write an algebraic expression: 1) Seven less than x 2) The product of 7 and y 3) The quotient of 15 and x 4) Ten taken from the product of six and n. 5) Name the three main properties of numbers and give an example of each.

Combining Like Terms

Terms  Are separated by a sign (- or +)

How many terms are in the example?

Coefficient  it is the number next to the variable. You must have a variable to have a coefficient.

Any variable without a number in front of it has an understood coefficient of 1.

Constant  a number without a variable

Combine Like Terms (put the same variables together!)

That is the answer…don’t do anything else!

6y + 2x + 4y + 8

2x + 10y + 8

7n + 6y + 3 – 2n + 4

5n + 6y + 7

3r + 7y -2r + y

r + 8y

4n m - n - 2m + 2

4m + 3n + 11

2x x x

6x + 3

5 + 7x + 2x – 3 + 6

9x + 8

x + y + 4x – 3x + 2y + 3y

2x +6y

3x² + 5x x + 20

11x+ 3x² +37

4x + x² +12 – 4 +2x

x² +6x + 8

12y + 12x +12 – 6x + 12

12y + 6x + 24

12y + 4 +x –7y x

5y + 9x +12

5x + x²+ 2x + 5 – 4 - x²

7x + 1

5x² + 8x + 7x²+6x

12x² +14x

12x + 6 –8x –4x –3 + 12

15

5x + 4 –3x +5 +2x - 9

4x

4x +2y + 8 – 3 - y - x

3x + y + 5

4(2m + 3) – 5

8m + 12 – 5 8m + 7

3(4c + 2n) + 4 – 2c

12c + 6n + 4 – 2c 10c + 6n + 4

5(x + 2) + x + 7

5x x + 7 6x + 17

x(4 + 7) + 4x + y

4x + 7x + 4x + y 15x + y

x + 2(3x + 4y) + 3

x + 6x + 8y + 3 7x + 8y + 3

4x x + 2y +2 - y

11x + y + 7

2y + 2x + 8 – 6 + x – 2y

3x + 2

4x + 6y x + y

11x + 7y + 6

3x² + 4x –2x² -3x +2x

x² + 3x

8x + 4 – 4 – 4x +x

5x

y + 5x + 6y

5x + 7y + 3

x² +3 +2x²

3x²

5y x² -2x - x² + y

6x² + 6y -2x+3