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Open sentences.ppt

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Open sentences.ppt

1. 1. Objective The student will be able to: <ul><li>solve open sentences by performing arithmetic operations. </li></ul><ul><li>SOL: A.2 </li></ul>Designed by Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School
2. 2. A Variable Expression is a group of numbers, variables, and operations. (No equal sign) <ul><li>Examples </li></ul><ul><li>12m - 42 </li></ul><ul><li>3x + 2 </li></ul>
3. 3. An Equation is a mathematical sentence that contains an equal sign (=). <ul><li>Examples </li></ul><ul><li>2 + 4 = 6 </li></ul><ul><li>3x + 2 = 11 </li></ul>
4. 4. A sentence that has the symbol  ,  ,  , or  is called an inequality . <ul><li>Examples </li></ul><ul><li>3a  43 </li></ul><ul><li>x + 7  -27 </li></ul>
5. 5. Expression, equation, or inequality? 13x + 14y = 30 <ul><li>Expression </li></ul><ul><li>Equation </li></ul><ul><li>Inequality </li></ul>Answer Now
6. 6. Expression, equation, or inequality? -2x - 4 <ul><li>Expression </li></ul><ul><li>Equation </li></ul><ul><li>Inequality </li></ul>Answer Now
7. 7. Expression, equation, or inequality? 4b  21 <ul><li>Expression </li></ul><ul><li>Equation </li></ul><ul><li>Inequality </li></ul>Answer Now
8. 8. Expression, equation, or inequality? 10a - 22 = -92 <ul><li>Expression </li></ul><ul><li>Equation </li></ul><ul><li>Inequality </li></ul>Answer Now
9. 9. Expression, equation, or inequality? -7k  -35 <ul><li>Expression </li></ul><ul><li>Equation </li></ul><ul><li>Inequality </li></ul>Answer Now
10. 10. Sometimes you can solve an equation by applying the order of operations. 4 + 5 • 2 = m 8 - 1 <ul><li>2 = m </li></ul><ul><li>2 is the solution . It is a number that replaces the variable (m) and makes the equation true. </li></ul>
11. 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? <ul><li>\$525.00 </li></ul><ul><li>\$575.00 </li></ul><ul><li>\$597.00 </li></ul><ul><li>\$612.50 </li></ul>Answer Now
12. 12. If a side of the square shown has length 20, what is the area of the circle (A= π r 2 ) ? <ul><li>1,257 </li></ul><ul><li>314 </li></ul><ul><li>125.6 </li></ul><ul><li>68.8 </li></ul>Answer Now
13. 13. A set is a collection of objects or numbers. <ul><li>Each object in the set is called an element . </li></ul><ul><li>Example </li></ul><ul><li>Coins = {Penny, Nickel, Dime, Quarter, Half Dollar, Dollar} </li></ul><ul><li>Coins is the set & Dime is an element of the set of Coins. </li></ul>
14. 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.) <ul><li>Solution Set : the set of all replacements for the variable that make the equation/inequality TRUE </li></ul>
15. 15. Given 8 - x < 7, find the solution set if the replacement set is {0, 2, 4, 6, 8}. <ul><li>Replace the variable (x) with each element in the replacement set and solve. </li></ul><ul><li>8 - 0 < 7 8 < 7 False </li></ul><ul><li>8 - 2 < 7 6 < 7 True </li></ul><ul><li>8 - 4 < 7 4 < 7 True </li></ul><ul><li>8 - 6 < 7 2 < 7 True </li></ul><ul><li>8 - 8 < 7 0 < 7 True </li></ul><ul><li>The solution set is {2, 4, 6, 8}. </li></ul>
16. 16. Given 5 = 10 - y, find the solution set if the replacement set is {1, 2, 3, 4}. <ul><li>{1} </li></ul><ul><li>{1,2} </li></ul><ul><li>{1,2,3} </li></ul><ul><li>{1,2,3,4} </li></ul><ul><li>Null Set </li></ul>Answer Now
17. 17. Given 5 = 10 - y, find the solution set if the replacement set is {1, 2, 3, 4}. <ul><li>5 = 10 - 1 5 = 9 False </li></ul><ul><li>5 = 10 - 2 5 = 8 False </li></ul><ul><li>5 = 10 - 3 5 = 7 False </li></ul><ul><li>5 = 10 - 4 5 = 6 False </li></ul><ul><li>None of these are true so the solution set is null set . </li></ul><ul><li>Null set is a set with no elements. </li></ul>
18. 18. Bonus Question! What is the area of the shaded region? <ul><li>10.37 </li></ul><ul><li>10.75 </li></ul><ul><li>42.52 </li></ul><ul><li>127.5 </li></ul>Answer Now