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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.
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Warm UpWrite an algebraic expression:1) Seven less than x2) The product of 7 and y3) 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 Families & Orphans
+ 4 6x + 3y Vocab Term Terms Are separated by a sign (- or +)
+ 4 6x + 3y Vocab How many terms are in the example? 3
+ 4 6x + 3y Vocab Coefficient Coefficient it is the number next to the variable. You must have a variable to have a coefficient.
Vocab x = 1 x Any variable without a number in front of it has an understood coefficient of 1.
+ 4 6x + 3y Vocab Constant Constant a number without a variable
3x + 5y + 2x + 4 Combine Like Terms (put the same variables together!)
+ 4 5x + 5y 3x + 2x + 4 + 5y That is the answer…don’t do anything else!
Simplify 8a + 3a
8a + 3a 11a
6y + 2x + 4y + 8 2x + 10y + 8
7n + 6y + 3 – 2n + 4 5n + 6y + 7
3r + 7y -2r + y r + 8y
4n + 9 + 6m - n - 2m + 2 4m + 3n + 11
2x + 7 + 5x - 4 - x 6x + 3
5 + 7x + 2x – 3 + 6 9x + 8
x + y + 4x – 3x + 2y + 3y 2x +6y
3x² + 5x +17 + 6x + 20 11x+ 3x² +37
4x + x² +12 – 4 +2x x² +6x + 8
12y + 12x +12 – 6x + 12 12y + 6x + 24
12y + 4 +x –7y + 8 +8x 5y + 9x +12
5x + x²+ 2x + 5 – 4 - x² 7x + 1
5x² + 8x + 7x²+6x 12x² +14x
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 + 10 + x + 7 6x + 17