1 6 Combining Like Terms Learn to combine
1 -6 Combining Like Terms Learn to combine like terms in an expression. Pre-Algebra
1 -6 Combining Like Terms in an expression are the little groups of a number and letter separated by plus or minus signs. Like terms are groups that have the exact same letter and the exact same exponent. If they do, they can be added or subtracted Pre-Algebra
1 -6 Combining Like Terms Additional Example 1: Combining Like Terms To Simplify Combine like terms. A. 14 a – 5 a 9 a Identify like terms. B. 7 y + 8 – 3 y – 1 + y Identify like terms ; the coefficient of y is 1, because 1 y = y. 5 y + 7 Pre-Algebra Combine coefficients: 14 – 5 = 9 Combine coefficients: 7 – 3 + 1 = 5 and 8 – 1 = 7
1 -6 Combining Like Terms Try This: Example 1 Combine like terms. A. 4 q – q 3 q B. 5 c + 8 – 4 c – 2 – c 6 Pre-Algebra Identify like terms; the coefficient of q is 1, because 1 q = q. Combine coefficients: 4 – 1 = 3 Identify like terms; the coefficient of c is 1, because 1 c = c. Combine coefficients: 5 – 4 – 1 = 0 and 8 – 2 = 6
1 -6 Combining Like Terms Additional Example 2 A: Combining Like Terms in Two -Variables Expressions Combine like terms. A. 9 x + 3 y – 2 x + 5 Identify like terms. 7 x + 3 y + 5 Combine coefficients: 9 – 2 = 7 Pre-Algebra
1 -6 Combining Like Terms Additional Example 2 B: Combining Like Terms in Two -Variable Expressions Combine like terms. B. 5 t + 7 p – 3 p – 2 t Identify like terms. 3 t + 4 p Combine coefficients: 5 – 2 = 3 and 7 – 3= 4 Pre-Algebra
1 -6 Combining Like Terms Additional Example 2 C: Combining Like Terms in Two -Variable Expressions Combine like terms. C. 4 m + 9 n – 2 Pre-Algebra No like terms.
1 -6 Combining Like Terms Try This: Example 2 Combine like terms. A. 2 x + 5 x – 4 x 2 + 3 Identify like terms. 7 x – 4 x 2 + 3 Combine coefficients: 2 + 5 = 7 B. 9 c 3 + 7 c 2 – 4 c 3 – 2 c 2 Identify like terms. 5 c 3 + 5 c 2 Combine coefficients: 9 – 4 = 5 and 7 – 2 = 5 C. 8 g + c 2 – 6 8 c + c 2 – 6 Pre-Algebra No like terms.
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