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Distributive property = states that a number modifying parenthesis will modify every term in the parenthesis. 5(4 + 8a - 2) = 70; (20 + 40a - 10) = 70; (40a + 10) = 70; 40a = 60; 4a = 6; a = 1.5 3(5 - 2) = 9; 3(3) = 9 10(4/2) = 10(2) = 20 Inverse of operations = states that an equation can be worked backwards. 5 + 4 = 9; 9 - 5 = 4; 9 - 4 = 5 10(4) = 40; 40/10 = 4; 40/4 = 10 100/4 = 25; 25(4) = 100; 100/25 = 4 Property of balance and equality = states that what is done to one side of an equation is also done to the other side of the equation. 5 - a = 2; 5 - a + a = 2 + a; 5 - 2 = 2 - 2 + a; 3 = a 10 + 5 = b; 15 = b; 10 + 5 = 15 A - 5 = 20; A - 5 + 5 = 20 + 5; A = 25 -DuskyRiver
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