Objective - To combine like terms to simplify expressions.

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Presentation transcript:

Objective - To combine like terms to simplify expressions. Like terms - variable terms that differ only in their coefficients. Like Terms Unlike Terms 7x -3x 7x -3y 5y -y 5y 10xy 2yx 2a 3ab

Simplify by combining like terms. 1) 7x - 4y + 2x - y 6) 10 - 4x + 3y - 17x 9x - 5y -21x + 3y + 10 2) 3m + 10n - 4m + 1 7) 6r - 2.3s - -9r - 3.5s -m + 10n + 1 15r - 5.8s 3) 7x + 3y 8) 1 7x + 3y 2 p - 5q 6 4) 6x - (5x) + 2x + (-3) 9) 16 - 14m - - m - 27 3x - 3 -13m - 11 5) 4k - (2j) - 6k - j 10) 8e + 3f + (-5e) - -5f -2k - 3j 3e + 8f

Simplify the following. 1) 10 - 4(x - 5) - 8 3) 5x - 4(7x - 9) - 11 10 - 4x + 20 - 8 5x - 28x + 36 - 11 - 4x + 22 - 23x + 25 2) 6 - 2(5 - x) - (3x + 7) 4) 10 + 3(x - 5) - (2x - 9) 6 - 10 + 2x - 3x - 7 10 + 3x - 15 - 2x + 9 - x - 11 x + 4

Simplify the following. 5) 4x - 5[2(6x - 3) - 7] 6) -4[-(x + 5) - 3(x - 6)] 4x - 5[12x - 6 - 7] -4[-x + -5 - 3x + 18] 4x - 5[12x - 13] -4[-4x + 13] 4x - 60x + 65 16x - 52 -56x + 65

Irrational Terms Irrational numbers can’t be combined with rational numbers. Like terms Unlike terms

Simplify by combining like terms. 1) 6) 2) 7) 3) 8) 4) 9) 5) 10)