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.

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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.

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

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.

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

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

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

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

Notes and examples

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

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

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

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

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?