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Name:__________ warm-up 7-1 Use substitution or elimination to solve the system of equations. r – t = –5 r + t = 25 Graph the system of equations. How many solutions does the system of equations have?

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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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Details of the Day EQ: How can you make good decisions? What factors can affect good decision making? I will be able to… Multiply monomials using the properties of exponents. Simplify expressions using the multiplication properties of exponents. Solve word problems using sytems of equations Activities: Warm-up – Graph the results from yesterday’s Holiday Quickie Holiday Quickie (word problems using systems of equations) Holiday Quickie Notes: 7-1 Multiplication properties of exponents Make-up work in class time Chapter 6 test for students who did not take it. Class work/ HW Vocabulary: Monomial Constant.

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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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A Quick Review Use substitution or elimination to solve the system of equations. r – t = –5 r + t = 25 Graph the system of equations. How many solutions does the system of equations have?

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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

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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 – 1 3 4 D. D. 5 t CDCD

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Notes and examples A. Simplify (r 4 )(–12r 7 ). B. Simplify (6cd 5 )(5c 5 d 2 ). A. Simplify (5x 2 )(4x 3 ).B. Simplify 3xy 2 (–2x 2 y 3 ).

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Notes and examples Simplify [(2 3 ) 3 ] 2 Simplify [(4 2 ) 2 ] 3

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Notes and examples GEOMETRY Express the volume of a cube with side 5xyz as a monomial. Express the surface area of the cube as a monomial.

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Real World Examples Simplify [(8g 3 h 4 ) 2 ] 2 (2gh 5 ) 4.Simplify [(2c 2 d 3 ) 2 ] 3 (3c 5 d 2 ) 3.

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If m & n are positive AND m = n, then Can solve exponential equation by taking logarithm of each side of equation Only works with base 10.

If m & n are positive AND m = n, then Can solve exponential equation by taking logarithm of each side of equation Only works with base 10.

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