Basic Algebraic Applications Day 2 Steps for Solving

Basic Algebraic Applications Day 2

Steps for Solving Basic Algebraic Applications 1. Read the Problem 2. What are they asking? Define Unknowns and variables 3. What operations do you have? Key concepts and operations 4. Set up the problem 5. Solve the equation 6. Verify that you answered the question correctly. (Does your answer make sense? ) 7. Check your answer

Solving Algebraic Applications Is about … Solving word problems with unknown values. Procedures Application 1. Read the problem 1. Find two consecutive integers whose sum is 45 2. What are they asking? Define Unknowns and variables 2. Two consecutive integers are needed. 1 st integer (a) and 2 nd integer (a +1). 3. What operations do you have? Key concepts and operations 3. two consecutive integers, sum (+), integers sum is(=), 45 45 is 4. Set up the problem. Draw figure if necessary. . 4. 1 st integer + 2 nd integer = 45 a + (a + 1) = 45

5. Solve the equation 6. Verify that you answered the question correctly. (Does your answer make sense? ) 5. a + (a + 1) = 45 6. Solving for two consecutive integers so one more integer is needed. a = 22 2 nd integer = a + 1 2 nd integer = 22 + 1 2 nd integer = 23 1 st integer = 22 & 2 nd integer = 23 7. Check your answer 7. 1 st integer + 2 nd integer = 45 22 + 23 ? 45 45 = 45 ☺

Solving Algebraic Applications Is about … Solving word problems with unknown values. Procedures Application 1. Read the problem 1. Find three consecutive even integers whose sum is 72 2. What are they asking? Define Unknowns and variables 2. three consecutive even integers are needed. 1 st even integer (a), 2 nd even integer (a +2), 3 rd integer (a + 4) 3. What operations do you have? Key concepts and operations 3. three consecutive even integers, integers sum (+), is(=), 72 is 72 4 Set up the problem. . Draw figure if necessary. . 4. 1 st even integer + 2 nd even integer + 3 rd even integer = 72 a + (a + 2) + (a + 4) = 72

5. Solve the equation 6 Verify that you answered the question correctly. (Does your answer make sense? ) 7 Check your answer 5. a + (a + 2) + (a + 4) = 72 6. Solving for two consecutive integers so one more integer is needed. a = 22 2 nd even integer = a + 2 3 rd even integer = a + 4 2 nd even integer = 22 + 2 3 rd even integer = 22 + 4 2 nd even integer = 24 3 rd even integer = 26 1 st even integer = 22, 2 nd even integer = 24, 3 rd even integer = 26 7. 1 st even integer + 2 nd even integer + 3 rd even integer = 72 22 + 24 + ☺ 26 72 ? 72 = 72

Solving Algebraic Applications Is about … Solving word problems with unknown values. Procedures Application 1. Read the problem 1. Find two consecutive odd integers whose sum is -88 2. What are they asking? Define Unknowns and variables 2. Two consecutive odd integers are needed. 1 st odd integer (a) and 2 nd odd integer (a +1). 3. What operations do you have? Key concepts and operations 3. 4. Set up the problem. Draw figure if necessary. . 4. two consecutive odd integers, integers -88 sum (+), is(=), is 1 st odd integer + 2 nd odd integer = -88 a + (a + 2) = -88

5. Solve the equation 6. Verify that you answered the question correctly. (Does your answer make sense? ) 5. a + (a + 2) = -88 6. Solving for two consecutive odd integers so one more integer is needed. a = -45 2 nd odd integer = a + 2 2 nd odd integer = -45 + 2 2 nd odd integer = -43 1 st integer = -45 & 2 nd integer = -43 7. Check your answer 7. 1 st odd integer + 2 nd odd integer = -88 -45 + ☺ -43 -88 ? -88 = -88