Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Algebra 1
Unit 5: Systems of Equations
Lesson 1
Lesson 2
Lesson 3
Lesson 4
(PH Text 6.1):
(PH Text 6.2):
(PH Text 6.3):
(PH Text 6.4):
Solve a System of Equations by Graphing
Solve a System of Equations Using Substitution
Solve a System of Equations Using Elimination
Applications – real-life problems
– digit problems
– age problems
– money and mixture problems
Lesson 5 (PH Text 6.6): Systems of Linear Inequalities
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Bell Work:
Graph the equations. (Use different colors and/or write the equation next to the line.)
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Lesson 1 (PH Text 6.1): Solve a System of Equations by Graphing
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Class Practice:
Solve the systems of equations by graphing. Classify each system as consistent or inconsistent; if
consistent, classify as dependent or independent. Identify the solution, or write no solution or infinitely
many solutions where appropriate.
consistent and
independent
consistent and
independent
consistent and
dependent
inconsistent
Do p.363 #6-9
HW: p.363 #12-38 even
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Lesson 2 (PH Text 6.2): Solve a System of Equations Using Substitution
Objective: to solve systems of equations using substitution.
Class Practice:
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Solve the systems of equations using substitution. Write no solution or infinitely many solutions where
appropriate.
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Lesson 3 (PH Text 6.3): Solve a System of Equations Using Elimination
Objective: to solve each system by eliminating a variable
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Class Practice:
Type 1: Add the equations together to eliminate a variable and solve. Then substitute that value back into
one of the original equations to find the value of the eliminated variable.
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Lesson 4a (PH Text 6.4): Applications of Linear Systems
Objective: To solve word problems by writing systems of equations and solving.
Systems of Equations can often be used to solve real-life problems. Once you write the equations, decide
which method will best for solving your system.
Examples:
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
To find a “break-even point”, write the two equations equal to the same variable, representing the point at
which you will “break-even.”
Example 5)
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
HW: p.386 #7-9, 11-12, 18, 22, 24-26
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Lesson 4b (PH Text 6.4): Applications – money and mixture problems
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Show your work on a separate piece of paper!!
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
HW: p.386 #10, 13, 18, 22, 23-28
Lesson 4c (PH Text 6.4): Applications – digit problems
Show your work on a separate piece of paper!!
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Lesson 4d (PH Text 6.4): Applications – age problems and ratio problems
Show your work on a separate piece of paper!!
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Lesson 4e (PH Text 6.4): Applications Practice
Show your work on a separate piece of paper!!
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Lesson 5 (PH Text 6.6): Systems of Linear Inequalities
Objective: to solve systems of linear inequalities by graphing
to model real-world situations using systems of linear inequalities
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
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Algebra 1
Mrs. Bondi
Unit 5 Notes: Systems of Equations
Vocabulary review:
Consistent – a system of equations with one or more solutions
Inconsistent – a system of equations with no solution
Dependent System – a system of equations whose graphs are the same line
Independent System – a system of equations whose graphs are different
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