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Name:__________ warm-up 7-2 Determine whether –5x 2 is a monomial. Explain your reasoning. Determine whether x 3 – y 3 is a monomial. Explain your reasoning. Simplify (3ab 4 )(–a 4 b 2 ). Simplify (2x 5 y 4 ) 2.

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Find the area of the parallelogram. What is the product (–3x 2 y 3 z 2 )(–17x 3 z 4 )?

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Details of the Day EQ: How can you make good decisions? What factors can affect good decision making? I will be able to… Divide monomials using the properties of exponents. Simplify expressions containing negative and zero exponents. Activities: Warm-up Review homework Holiday Quickie Notes: 7-2 Division properties of exponents Class work/ HW Vocabulary: Zero exponent Negative exponent Order of magnitude.

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Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents

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Determine whether –5x 2 is a monomial. Explain your reasoning. Determine whether x 3 – y 3 is a monomial. Explain your reasoning. Simplify (3ab 4 )(–a 4 b 2 ). Simplify (2x 5 y 4 ) 2. A Quick Review

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The tens digit of a two-digit number is 5 more than twice the ones digit. The sum of the digits is 8. What is the number? What is the solution of the system of equations? y = x + 3 y = –2x

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Notes and examples Determine whether each expression is a monomial. Explain your reasoning. A. 17 – c B. 8f 2 g C Which expression is a monomial? A.X 5 B.3p – D. D. 5 t CDCD

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Notes and examples

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Simplify Assume that p and q are not equal to zero.

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Notes and examples. Simplify. Assume that z is not equal to zero. Simplify. Assume that x and k are not equal to zero..

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Notes and examples A. Simplify. Assume that no denominator is equal to zero.. Simplify. Assume that no denominator equals zero

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Notes and examples Simplify. Assume that no denominator is equal to zero. Simplify. Assume that no denominator is equal to zero

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Real World Examples (order of magnitude is the number rounded to the nearest power of ten. SAVINGS Darin has $123,456 in his savings account. Tabo has $156 in his savings account. Determine the order of magnitude of Darin’s account and Tabo’s account. How many orders of magnitude as great is Darin’s account as Tabo’s account? A circle has a radius of 210 centimeters. How many orders of magnitude as great is the area of the circle as the circumference of the circle?

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