Properties - Distributive Algebra

# 8 x 3 x y 4 x 2 1 x 2 2 6 group like terms 5 x 2 4

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8 x + 3 x + y = 4 x 2 +1 x 2 + 2 - 6 Group like terms. = 5 x 2 - 4 BACK

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y y x y x 5 7 2 2 + - - - + x x 1 2 - x y y y 5 1 2 + - + y 6 + 7 - 7 - BACK
Combine like terms with parenthesis… ( 29 15 3 2 3 8 + - + f f 15 9 6 8 + - + f f 6 14 + f BACK

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Objectives Use the Distributive Property to solve equations. Solve real-world problems by using multistep equations.
Key Skills Solve 3(x - 4) = 48 Use the distributive property. 3 * x + 3 * -4 = 48 3 (x - 4) = 48 Multiply 3x - 12 = 48 Add both sides of the = sign. +12 +12 3x = 60 Divide both sides of the = sign by 3. 3 3 x = 20

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Key Skills Solve 5(x +2) = 35 Use the distributive property. 5 * x + 5 * 2 = 35 Solve 5 (x +2) = 35 Multiply 5x + 10 = 35 Subtract 10 from both sides of the = sign. -10 -10 5x = 25 Divide both sides of the = sign by 3 . 5 5 x = 5 TRY THIS
Key Skills Solve 3y – 8 –y = 6 Combine like terms that are on the same side of the = sign. Solve 3y – 8 –y = 6 2y – 8 = 6 Add 8 to both sides of the = sign. + 8 + 8 2y = 14 Divide both sides of the equal sign by 2 2 2 y = 7

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Key Skills Solve 6y +2 –3y = 8 Combine like terms that are on the same side of the = sign. Solve 6y +2 –3y = 8 3y +2 = 8 Subtract 2 from both sides of the = sign. -2 -2 3y = 6 Divide both sides of the equal sign by 3 3 3 y = 2 TRY THIS
Key Skills Solve 4x -8(x + 1) = 8 4x -8 (x + 1) = 8 Distribute -8 4x -8 * x + -8 * 1 = 8 Multiply 4x -8x -8 = 8 Combine like terms.

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• Spring '10
• unknown
• Addition, Distributive Property, 2m, 9Y – 3Y

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