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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.

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Presentation on theme: "Objective The student will be able to: solve open sentences by performing arithmetic operations. Designed by Skip Tyler, Varina High School and Nicole."— Presentation transcript:

1 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

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

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

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

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

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

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

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

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

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

11 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 $12.50/hr. and worked 46 hours, what would be his pay for the week? Answer Now 1.$ $ $ $612.50

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

13 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.

14 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

15 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 < 78 < 7False < 76 < 7True < 74 < 7True < 72 < 7True < 70 < 7True The solution set is {2, 4, 6, 8}.

16 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

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

18 Bonus Question! What is the area of the shaded region? Answer Now


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