Thursday and Friday we learned how to solve 2-Step Equations. We began by reviewing the two types of 1-step equations: equations with addition and subtraction, and equations with multiplication and division.
Our main goal in solving equations is to get the variable by itself, or isolate the variable. With addition problems you add the opposite, with subtraction you change the subtraction sign to addition and the next number to its opposite then you add the opposite.
x + 6 = -4 x - 8 = 4
x + 6 + (-6) = -4 + (-6) x + (-8) = 4
x = -10 x + (-8) + 8 = 4 + 8
x = 12
With equations involving multiplication and division you do the opposite operation to isolate the variable.
4x = 24 x = -3
5
4x = 24
4 4 5 x = -3 (5)
x = 6 5
x = -15
With 2-Step equations you have both of the steps in the same problem. To solve a 2-step equation you reverse the order of operations. The last thing you did to solve an order of operation problem is add/subtract to the first thing you undo in an equation is add/subtract.
2x + 6 = -10 m - 5 = 3
2x + 6 + (-6) = -10 + (-6) 3
2x = -16 m + (-5) + 5 = 3 + 5
3
2x = -16 m = 8
2 2 3
x = -8
(3) m = 8 (3)
3
m = 24
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