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Evaluate and Simplify Expressions SWBAT apply the order of operations to evaluate algebraic expression when values are given; combine like terms in algebraic expressions
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Review Some students are visiting a science museum. They pay $7 per student and a group fee of $25. Write and algebraic expression for the total cost of the trip. – $7s + 25 If there are 124 students going on the trip, what is the total cost they will pay for the trip? –$7(124) + $25 –$868 + $25 –$893
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Evaluate 56 – p(q+r), when p = 3, q = 4.2, and r = 5.1 (x+1) 2 + y ÷ z, when x = 3, y = 8.8, and z = 4 15 + cj 3, when c = 6, and j = 5 (d + e ÷ 9)2 – 14f, when d = 8, e = 45, and f = 2
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Definitions Terms –Parts of an algebraic expression that are separated by an addition or subtraction sign Like terms –Terms that have exactly the same variable
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Combining like terms 20n – 6n – 3 –14n - 3 378 + 15y – 2y –378 + 13y 9z 2 – 5z + 3z 2 –12z 2 – 5z
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Simplify and Evaluate 20n – 6n – 3, when n = 2.5 14n -3 14(2.5) – 3 20(2.5) – 6(2.5) – 3 32 378 + 15y – 2y, when y = 3.1 378 + 13y 378 + 13(3.1) 418.3 9z 2 – 5z + 3z 2, when z = 10 12z 2 – 5z 12(10) 2 – 5(10) 1150
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Answers 18.42 92 271.6
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