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Basic Algebraic Applications. Day 2. Steps for Solving Basic Algebraic Applications. Read the Problem What are they asking? Define Unknowns and variables What operations do you have? Key concepts and operations Set up the problem Solve the equation
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Steps for Solving Basic Algebraic Applications • Read the Problem • What are they asking? Define Unknowns and variables • What operations do you have? Key concepts and operations • Set up the problem • Solve the equation • Verify that you answered the question correctly. (Does your answer make sense?) • Check your answer
Solving Algebraic Applications Find two consecutive integers whose sum is 45 Read the problem 1. 1. What are they asking? Define Unknowns and variables two consecutive integers, sum (+), is(=), 45 Set up the problem. Draw figure if necessary.. Two consecutive integers are needed. 1st integer (a) and 2nd integer (a +1). What operations do you have? Key concepts and operations 3. 4. 3. 2. 4. 2. Is about … Solving word problems with unknown values. Procedures Application two consecutive integers sum is 45 Two consecutive integers sum two consecutive integers 45 is 1st integer + 2nd integer = 45 a + (a + 1) = 45
Check your answer Verify that you answered the question correctly. (Does your answer make sense?) Solving for two consecutive integers so one more integer is needed. a = 22 1st integer + 2nd integer = 45 6. 7. 6. 7. Solve the equation 5. 5. a + (a + 1) = 45 2nd integer = a + 1 2nd integer = 22 + 1 2nd integer = 23 1st integer = 22 & 2nd integer = 23 22 + 23 ? 45 45 = 45 ☺
Solving Algebraic Applications Find three consecutive even integers whose sum is 72 Read the problem 1. 1. What are they asking? Define Unknowns and variables three consecutive even integers, sum (+), is(=), 72 Set up the problem. Draw figure if necessary.. three consecutive even integers are needed. 1st even integer (a), 2nd even integer (a +2), 3rd integer (a + 4) What operations do you have? Key concepts and operations 3. 4. 3. 2. 4. 2. Is about … Solving word problems with unknown values. Procedures Application three consecutive even integers sum 72 is three consecutive even integers three consecutive even integers is 72 sum 1st even integer + 2nd even integer + 3rd even integer = 72 a + (a + 2) + (a + 4) = 72
Solving for two consecutive integers so one more integer is needed. a = 22 Check your answer Verify that you answered the question correctly. (Does your answer make sense?) 1st even integer + 2nd even integer + 3rd even integer = 72 7 6 6. 7. Solve the equation 5. 5. a + (a + 2) + (a + 4) = 72 2nd even integer = a + 2 3rd even integer = a + 4 2nd even integer = 22 + 2 3rd even integer = 22 + 4 2nd even integer = 24 3rd even integer = 26 1st even integer = 22, 2nd even integer = 24,3rd even integer = 26 22 + 24 + 26 ? 72 72 = 72 ☺
Solving Algebraic Applications Find two consecutive odd integers whose sum is -88 Read the problem 1. 1. What are they asking? Define Unknowns and variables two consecutive odd integers, sum (+), is(=), -88 Set up the problem. Draw figure if necessary.. Two consecutive odd integers are needed. 1st odd integer (a) and 2nd odd integer (a +1). What operations do you have? Key concepts and operations 3. 4. 3. 2. 4. 2. Is about … Solving word problems with unknown values. Procedures Application two consecutive odd integers is sum -88 Two consecutive odd integers two consecutive odd integers -88 is sum 1st odd integer + 2nd odd integer = -88 a + (a + 2) = -88
Check your answer Verify that you answered the question correctly. (Does your answer make sense?) Solving for two consecutive odd integers so one more integer is needed. a = -45 1st odd integer + 2nd odd integer = -88 6. 7. 6. 7. Solve the equation 5. 5. a + (a + 2) = -88 2nd odd integer = a + 2 2nd odd integer = -45 + 2 2nd odd integer = -43 1st integer = -45 & 2nd integer = -43 -45 + -43 ? -88 -88 = -88 ☺
