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# Open sentences

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### Open sentences

1. 1. ObjectiveThe student will be able to:solve open sentences by performingarithmetic operations.SOL: A.1Designed by Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School
2. 2. A Variable Expression is a groupof numbers, variables, andoperations. (No equal sign)Examples12m - 423x + 2
3. 3. An Equation is a mathematicalsentence that contains an equalsign (=).Examples2 + 4 = 63x + 2 = 11
4. 4. A sentence that has the symbol<, ≤ , >, or ≥ is called aninequality.Examples3a ≤ 43x + 7 > -27
5. 5. Expression, equation, or inequality?13x + 14y = 301. Expression2. Equation3. InequalityAnswer Now
6. 6. Expression, equation, or inequality?-2x - 41. Expression2. Equation3. InequalityAnswer Now
7. 7. Expression, equation, or inequality?4b ≥ 211. Expression2. Equation3. InequalityAnswer Now
8. 8. Expression, equation, or inequality?10a - 22 = -921. Expression2. Equation3. InequalityAnswer Now
9. 9. Expression, equation, or inequality?-7k < -351. Expression2. Equation3. InequalityAnswer Now
10. 10. Sometimes you can solve an equationby applying the order of operations.4 + 5 • 2 = m8 - 12 = m2 is the solution. It is a number thatreplaces the variable (m) and makesthe equation true.
11. 11. The pay (P) at a certain job is calculated by multiplying thebase pay (b) by the number of hours worked (h). If anemployee works overtime (more than 40 hours in 1 week),the formula is P = 40b + 1.5b(h - 40). If Jamaal had basepay of \$12.50/hr. and worked 46 hours, what would be hispay for the week?Answer Now1. \$525.002. \$575.003. \$597.004. \$612.50
12. 12. If a side of the square shownhas length 20, what is the areaof the circle (A=πr2)?Answer Now1. 1,2572. 3143. 125.64. 68.8
13. 13. A set is a collection of objects ornumbers.Each object in the set is called an element.ExampleCoins = {Penny, Nickel, Dime, Quarter,Half Dollar, Dollar}Coins is the set & Dime is an element ofthe set of Coins.
14. 14. Replacement Set: a set of numbersfrom which a number may bechosen to take the place of thevariable (All the numbers may notmake the equation/inequality true.)Solution Set: the set of allreplacements for the variable thatmake the equation/inequalityTRUE
15. 15. Given 8 - x < 7, find the solution set ifthe replacement set is {0, 2, 4, 6, 8}.Replace the variable (x) with each element in thereplacement set and solve.8 - 0 < 7 8 < 7 False8 - 2 < 7 6 < 7 True8 - 4 < 7 4 < 7 True8 - 6 < 7 2 < 7 True8 - 8 < 7 0 < 7 TrueThe solution set is {2, 4, 6, 8}.
16. 16. Given 5 = 10 - y, find the solutionset 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 SetAnswer Now
17. 17. Given 5 = 10 - y, find the solutionset if the replacement set is{1, 2, 3, 4}.5 = 10 - 1 5 = 9 False5 = 10 - 2 5 = 8 False5 = 10 - 3 5 = 7 False5 = 10 - 4 5 = 6 FalseNone of these are true so the solution set is nullset.Null set is a set with no elements.
18. 18. Bonus Question!What is the area of theshaded region?Answer Now1. 10.372. 10.753. 42.524. 127.5