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Published byNya Glidden Modified about 1 year ago

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Term Coefficient Constants

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7y, -2, , 13 Y, 9x, 9, X

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5x, 8y, 9z, 10, 12x, 14z, 7

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Combine like terms By combining apples with apples and oranges with oranges, you get apple 3 apples + 2 oranges +(- 2) apples + 2 oranges + 4 oranges coefficients + – + + +( – ) +

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=4 +2+(-2 )+(-1 ) Good Movies = = + =2 +1

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Example: Simplify 2x - 3y + 5x + 3y + 12 Remember: adding the opposite cancels out so (-3x)+(3x)=0

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Reorder the terms Combine like terms (simplify) 4x 2 -13y+4x+12x 2 -3x+3 4x 2 +12x 2 + 4x +(-3x)+(-13y)+3 16x 2 + x + (-13y) + 3 Change all operations to addition using keep-change-change 4x 2 +(-13y) +4x +12x 2 +(-3x) +3

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Combine like terms Identify like terms. Combine coefficients: 14 – 5 = 9 A. 14a – 5a 9a9a Change any subtraction to addition 14a +(-5a) Reorder Terms

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B. 7y + 8 – 3y – 1 + y Combine like terms Change any subtraction to addition 7y +(-3y)+y Identify like terms ; the coefficient of y is 1, because 1y = y. +8 +(-1) Combine coefficients: 7 – = 5 and 8 – 1 = 7 Reorder Terms 5y + 7 7y +8 +(-3y) +(-1) +y

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3q3q C. 4q – q Identify like terms ; the coefficient of q is 1, because 1q = q. Combine coefficients: 4 +(-1) = 3. 4q +(-1q) Combine like terms (on the boards). Change any subtraction to addition Reorder Terms

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D. 5c + 8 – 5c – 2 6 Combine like terms (on the boards). 5c +(-5c) +8 +(–2) Combine coefficients: 4 +(-1) = 3. Change any subtraction to addition Identify like terms ; the coefficient of q is. Reorder Terms 5c + 8 +(-5c) +(–2)

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F. 5m 2 – 7m – m2 – 7m – 4 Combine like terms (on the boards). Combine coefficients: 4 +(-1) = 3. Change any subtraction to addition Identify like terms ; the coefficient of q is. Reorder Terms 5m 2 +(-7m) + (-8) + 4

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E. 4m + 9n – 2 4m + 9n – 2 No like terms. Combine like terms (in your notes). Combine coefficients. Change any subtraction to addition Identify like terms ; the coefficient of q is. Reorder Terms 4m +9n +(-2)

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