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Objective The student will be able to:

Objective The student will be able to:. solve open sentences by performing arithmetic operations. SOL: A.1. Designed by Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School . A Variable Expression is a group of numbers, variables, and operations. (No equal sign).

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Objective The student will be able to:

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  1. ObjectiveThe student will be able to: solve open sentences by performing arithmetic operations. SOL: A.1 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 - 42 3x + 2

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

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

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

  6. Answer Now Expression, equation, or inequality?-2x - 4 • Expression • Equation • Inequality

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

  8. Answer Now Expression, equation, or inequality?10a - 22 = -92 • Expression • Equation • Inequality

  9. Answer Now Expression, equation, or inequality?-7k  -35 • Expression • Equation • Inequality

  10. 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.

  11. Answer Now 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? • $525.00 • $575.00 • $597.00 • $612.50

  12. Answer Now If a side of the square shown has length 20, what is the area of the circle (A=πr2)? • 1,257 • 314 • 125.6 • 68.8

  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. 8 - 0 < 7 8 < 7 False 8 - 2 < 7 6 < 7 True 8 - 4 < 7 4 < 7 True 8 - 6 < 7 2 < 7 True 8 - 8 < 7 0 < 7 True The solution set is {2, 4, 6, 8}.

  16. Answer Now 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} • Null Set

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

  18. Answer Now Bonus Question!What is the area of the shaded region? • 10.37 • 10.75 • 42.52 • 127.5

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