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Algebra 1 Section 2.6 Use the distributive property Combine similar terms. Note: 7(105) = 735 Also 7(100+5) 7(100) + 7(5) 700 + 35 = 735. To find the area of the rectangle. Distributive Property a ( b+c ) = ab + ac (b + c)a = ab + bc. 3(x+2) 3x + 3(2)
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Algebra 1 Section 2.6Use the distributive propertyCombine similar terms Note: 7(105) = 735 Also 7(100+5) 7(100) + 7(5) 700 + 35 = 735 To find the area of the rectangle Distributive Property a(b+c) = ab + ac (b + c)a = ab + bc 3(x+2) 3x + 3(2) 3x + 6
Simplify using the distributive property 3(x+5) (x-4)6 y(3 – y) (7 + 2w)(-5) -6(w-5z) 3(x + 2y + 4z)
You have a bill at a restaurant for $36. You want to leave a tip of 15%. Use the distributive property to calculate the amount of the tip.
In the expression 2x + 3y + 6z + 7, the numbers 2,3, and 6 are coefficients. 7 is a constant. Terms are similar (like terms) if they differ only by their coefficients. 3x 6y 4xy2 Similar terms 9x -5y 1xy2
Simplify 9x + 3x 12z – 8y + 5z + 10y 6x2 + 4x - 2x2 + 7x 6 + 2(4 + x) 8 – 5(3 – a) + 3(a +2)
Assignment • Page 103 • Problems 20-68 even, 83-88 all, 94,102,108