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4.3 Algebra 2. Brett Solberg AHS 2011-2012. Warm-up. Find the solution of the equations by graphing, substitution, and linear combination . 2x + y = 60 x + 2y = 75 (make your graph in intervals of 10). Test Recap. 2 nd Average 30/40 = 75% High 42 4 th Average 28/40 = 70% High 43
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4.3 Algebra 2 Brett Solberg AHS 2011-2012
Warm-up • Find the solution of the equations by graphing, substitution, and linear combination. • 2x + y = 60 • x + 2y = 75 (make your graph in intervals of 10)
Test Recap • 2nd Average 30/40 = 75% • High 42 • 4th Average 28/40 = 70% • High 43 • Make-up Options • Correct on separate paper • Staple to test • Turned in this week • Missing Review • PTC Extra Credit
Today’s Objectives • Finding solutions of systems of equations in real-life situations. • Graphing • Substitution • Linear Combination
Night at the movies. • George bought two movie tickets and a large popcorn for $20. The next day he went and bought 3 movie tickets and 2 large popcorns for $32.50. How much was an individual movie ticket and popcorn? • Problem Solving Guidelines • 1) Understand the problem • What is the problem asking? • What do we know? • 2) Develop and carry out a plan. • Write out equations. • 3) Find the answer and check. • Solve
Weedkiller x + y = 100 .05x + .15y = 12
Distance = Rate * Time • You are traveling 60 mph. • How far have you driven in one hour? Two hours? 10 hours? • D = 60 * 1 = 60 miles • D = 60 * 2 = 120 miles • D = 60 * 10 = 600 miles
Train Problems 35 km/h t + 2 Phoenix Train Station 40 km/h t d = 35(t + 1) d = 40t
Investments x + y = $15,000 .09x + .10 y = $1432
Homework • 4.3 pg. 171 #3-30, multiples of 3