combining like terms
DESCRIPTION
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. Families & Orphans. + 4. 6x. + 3y. - PowerPoint PPT PresentationTRANSCRIPT
Warm UpWrite an algebraic expression:
1) Seven less than x2) The product of 7 and y
3) The quotient of 15 and x4) 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