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
6y + 2x + 4y + 8
2x + 10y + 8
7n + 6y + 3 – 2n + 4
7n + 6y + 3 – 2n + 4
5n + 6y + 7
3r + 7y -2r + y
3r + 7y -2r + y
r + 8y
4n + 9 + 6m - n - 2m + 2
4n + 9 + 6m - n - 2m + 2
4m + 3n + 11
2x + 7 + 5x - 4 - x
2x + 7 + 5x - 4 - x
6x + 3
5 + 7x + 2x – 3 + 6
5 + 7x + 2x – 3 + 6
9x + 8
x + y + 4x – 3x + 2y + 3y
x + y + 4x – 3x + 2y + 3y
2x +6y
3x² + 5x +17 + 6x + 20
3x² + 5x +17 + 6x + 20
11x+ 3x² +37
4x + x² +12 – 4 +2x
4x + x² +12 – 4 +2x
x² +6x + 8
12y + 12x +12 – 6x + 12
12y + 12x +12 – 6x + 12
12y + 6x + 24
12y + 4 +x –7y + 8 +8x
12y + 4 +x –7y + 8 +8x
5y + 9x +12
5x + x²+ 2x + 5 – 4 - x²
5x + x²+ 2x + 5 – 4 - x²
7x + 1
5x² + 8x + 7x²+6x
5x² + 8x + 7x²+6x
12x² +14x
12x + 6 –8x –4x –3 + 12
12x + 6 –8x –4x –3 + 12
15
5x + 4 –3x +5 +2x - 9
5x + 4 –3x +5 +2x - 9
4x
4x +2y + 8 – 3 - y - x
4x +2y + 8 – 3 - y - x
3x + y + 5
4(2m + 3) – 5
4(2m + 3) – 5
8m + 12 – 5
8m + 7
3(4c + 2n) + 4 – 2c
3(4c + 2n) + 4 – 2c
12c + 6n + 4 – 2c
10c + 6n + 4
5(x + 2) + x + 7
5(x + 2) + x + 7
5x + 10 + x + 7
6x + 17
x(4 + 7) + 4x + y
x(4 + 7) + 4x + y
4x + 7x + 4x + y
15x + y
x + 2(3x + 4y) + 3
x + 2(3x + 4y) + 3
x + 6x + 8y + 3
7x + 8y + 3
4x + 5 +7x + 2y +2 - y
4x + 5 +7x + 2y +2 - y
11x + y + 7
2y + 2x + 8 – 6 + x – 2y
2y + 2x + 8 – 6 + x – 2y
3x + 2
4x + 6y + 6 + 7x + y
4x + 6y + 6 + 7x + y
11x + 7y + 6
3x² + 4x –2x² -3x +2x
3x² + 4x –2x² -3x +2x
x² + 3x
8x + 4 – 4 – 4x +x
8x + 4 – 4 – 4x +x
5x
y + 5x + 6y + 9 - 6
y + 5x + 6y + 9 - 6
5x + 7y + 3
x² +3 +2x² + 4 -7
x² +3 +2x² + 4 -7
3x²
5y + 3 + 7x² -2x - x² + y
5y + 3 + 7x² -2x - x² + y
6x² + 6y -2x+3