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Objective The student will be able to: solve open sentences by performing arithmetic operations. Designed by Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School

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A Variable Expression is a group of numbers, variables, and operations. (No equal sign) Examples 12m - 42 3x + 2

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An Equation is a mathematical sentence that contains an equal sign (=). Examples 2 + 4 = 6 3x + 2 = 11

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A sentence that has the symbol , , , or is called an inequality. Examples 3a 43 x + 7 -27

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Expression, equation, or inequality? 13x + 14y = 30 1.Expression 2.Equation 3.Inequality Answer Now

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Expression, equation, or inequality? -2x - 4 1.Expression 2.Equation 3.Inequality Answer Now

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Expression, equation, or inequality? 4b 21 1.Expression 2.Equation 3.Inequality Answer Now

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Expression, equation, or inequality? 10a - 22 = -92 1.Expression 2.Equation 3.Inequality Answer Now

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Expression, equation, or inequality? -7k -35 1.Expression 2.Equation 3.Inequality Answer Now

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Sometimes you can solve an equation by applying the order of operations. 4 + 5 2 = m 8 - 1 2 = m 2 is the solution. It is a number that replaces the variable (m) and makes the equation true.

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The pay (P) at a certain job is calculated by multiplying the base pay (b) by the number of hours worked (h). If an employee works overtime (more than 40 hours in 1 week), the formula is P = 40b + 1.5b(h - 40). If Jamaal had base pay of $12.50/hr. and worked 46 hours, what would be his pay for the week? Answer Now 1.$525.00 2.$575.00 3.$597.00 4.$612.50

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If a side of the square shown has length 20, what is the area of the circle (A=πr 2 )? Answer Now 1.1,257 2.314 3.125.6 4.68.8

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A set is a collection of objects or numbers. Each object in the set is called an element. Example Coins = {Penny, Nickel, Dime, Quarter, Half Dollar, Dollar} Coins is the set & Dime is an element of the set of Coins.

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Replacement Set: a set of numbers from which a number may be chosen to take the place of the variable (All the numbers may not make the equation/inequality true.) Solution Set: the set of all replacements for the variable that make the equation/inequality TRUE

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Given 8 - x < 7, find the solution set if the replacement set is {0, 2, 4, 6, 8}. Replace the variable (x) with each element in the replacement set and solve. 8 - 0 < 78 < 7False 8 - 2 < 76 < 7True 8 - 4 < 74 < 7True 8 - 6 < 72 < 7True 8 - 8 < 70 < 7True The solution set is {2, 4, 6, 8}.

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Given 5 = 10 - y, find the solution set if the replacement set is {1, 2, 3, 4}. 1.{1} 2.{1,2} 3.{1,2,3} 4.{1,2,3,4} 5.Null Set Answer Now

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Given 5 = 10 - y, find the solution set if the replacement set is {1, 2, 3, 4}. 5 = 10 - 15 = 9False 5 = 10 - 25 = 8False 5 = 10 - 35 = 7False 5 = 10 - 45 = 6False None of these are true so the solution set is null set. Null set is a set with no elements.

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Bonus Question! What is the area of the shaded region? Answer Now 1.10.37 2.10.75 3.42.52 4.127.5

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