Algebra 1 Notes Lesson 7-2 Substitution. Mathematics Standards -Patterns, Functions and Algebra: Solve real- world problems that can be modeled using

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  • Algebra 1 Notes Lesson 7-2 Substitution
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  • Mathematics Standards -Patterns, Functions and Algebra: Solve real- world problems that can be modeled using linear, quadratic, exponential or square root functions. -Patterns, Functions and Algebra: Solve and interpret the meaning of 2 by 2 systems of linear equations graphically, by substitution and by elimination, with and without technology. -Patterns, Functions and Algebra: Solve real world problems that can be modeled using systems of linear equations and inequalities.
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  • Vocabulary Substitution Second method for solving systems of equations. (First method was graphing)
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  • Vocabulary Substitution 1.Solve one equation for one variable (BE SMART) 2.Substitute for that variable in the other equation.
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4x y = 75
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4x y = 75
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4x y = 75
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) y = 75 4x y = 75
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) y = 75 4x y = 75
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) y = 75 4x y = 75 16y y = 75 15y = 75 15 15 y = 5
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) y = 75 4x y = 75 16y y = 75 15y = 75 15 15 y = 5
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) y = 75 4x y = 75 16y y = 75 15y = 75 x = 4y 15 15 y = 5
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) y = 75 4x y = 75 16y y = 75 15y = 75 x = 4y = 4(5) 15 15 y = 5
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) y = 75 4x y = 75 16y y = 75 15y = 75 x = 4y = 4(5) 15 15 x = 20 y = 5
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  • Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) y = 75 4x y = 75 16y y = 75 15y = 75 x = 4y = 4(5) 15 15 x = 20 (20, 5) y = 5
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  • Example 2 Use substitution to solve the system of equations.(Be smart what to solve for) 2x + 2y = 8 x + y = -2 x y = -2 x
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  • Example 2 Use substitution to solve the system of equations. 2x + 2y = 8 x + y = -2 x y = -2 x
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  • Example 2 Use substitution to solve the system of equations. 2x + 2y = 8 x + y = -2 x y = -2 x
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  • Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 x) = 8 x + y = -2 x y = -2 x
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  • Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 x) = 8 x + y = -2 x y = -2 x
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  • Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 x) = 8 x + y = -2 2x 4 2x = 8 x y = -2 x
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  • Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 x) = 8 x + y = -2 2x 4 2x = 8 x y = -2 x
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  • Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 x) = 8 x + y = -2 2x 4 2x = 8 x x -4 = 8 y = -2 x
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  • Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 x) = 8 x + y = -2 2x 4 2x = 8 x x -4 = 8 y = -2 x No Solution
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  • Homework Pgs. 379 12 28 (evens) 50 53 (all)