Lesson Summary - 4.1 PDF

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Colin O’Brien 10/21/17 Lesson Summary: 4.1 - Cafeteria Actions and Reactions Concepts We Covered: - Explaining each step in solving an equation. For example, in problem 1, you could make equation which might be then you can simplify the equation you can see that each step I do to both sides is justified by the corresponding property of equality. - Using inverse operations to go backwards or forwards in an equation. For example, if I were given the equation 20 = 4x - 3x/2, I could simplify each part of the equation by using the opposite operation. Notice to get rid of the division of 2, I multiply by 2 to both sides because multiplication and division are inverse operations because they do opposite things. Another example is to get rid of the subtraction I use addition because they are also inverse operations. -

Finding solutions for equations and situations. For example, in problem 1, you could make an equation which would help to find the answer. The equation might be then you could simplify it to find the answer using the different properties of equality.

- Using parentheses in equations and how they change things. For example, the equations below are not equal:

You can see they are not equal when you simplify them because the one on the left has parentheses that change the expression. Vocabulary We Learned:

- Inverse Operations: Opposite operations that cancel each other out when applied to one another. Addition is opposite subtraction. Multiplication is opposite division. And exponents are opposite they’re roots. For example, if I were given the equation 84 = x2 + 17 x 2 I could simplify it using inverse operations so x = 5....