The document defines key terms related to expressions, equations, and inequalities. It provides examples of each and has students identify whether examples given are expressions, equations, or inequalities. It also covers solving equations by applying order of operations and defining variables, replacement sets, and solution sets when solving equations and inequalities.

1. Objective The student will be able to: solve open sentences by performing arithmetic operations. SOL: A.2 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. Expression, equation, or inequality? 13x + 14y = 30 Expression Equation Inequality Answer Now

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

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

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

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

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. 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 Answer Now

12. If a side of the square shown has length 20, what is the area of the circle (A= π r 2 ) ? 1,257 314 125.6 68.8 Answer Now

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. 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 Answer Now

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