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1) Solve the system of equations using elimination.
Hint: Add the two equations to eliminate y. |
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Choosing a Method for Solving Systems
In the following problems, determine which method you would use to solve the system of equations using algebra, substitution or elimination, and then solve.
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4) What is a solution to this systems of equations? What is the solution to the system of equations and what method did you use to solve?
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5) What is the solution to the system of equations and what method did you use to solve?
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6) What is the solution to the system of equations and what method did you use to solve?
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Consistent and Inconsistent Systems
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7) Explain the difference between a consistent and an inconsistent system.
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8) Solve the system and state whether it is consistent or inconsistent.
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9) Solve the system and state whether it is consistent or inconsistent.
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10) Solve the system and state whether it is consistent or inconsistent.
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11) Solve the system and state whether it is consistent or inconsistent.
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12) Which of the following is true about the graphs of the previous four systems of equations. Click here to navigate to an online grapher, if needed.
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Independent and Dependent Systems
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13) How many solutions does a dependent system have?
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14) How many solutions does an independent system have?
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15) Solve the system and state if it is independent or dependent.
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16) Solve the system and state if it is independent or dependent.
Hint: Move (1/2)x over to the right side of the equation, then add the two equations to eliminate x.
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17) Which of the following is true about the graphs of the previous two systems of equations. Click here to navigate to an online grapher, if needed. |
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Applications of Systems of Equations
In the following problems, (1) define variables for the unknown values, (2) write a system of equations, and then (3) solve.
Refer to the following scenario for the next three problems.
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18) Define each of the variables.
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19) State the two equations for the system of equations.
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20) What is the solution for the system of equations?
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Refer to the following scenario for the next three problems.
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21) Define each of the variables.
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22) State the two equations for the system of equations.
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23) What is the solution for the system of equations?
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Refer to the following scenario for the next three problems.
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24) Define each of the variables. |
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25) State the two equations for the system of equations.
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26) What is the solution for the system of equations?
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Solve each inequality in the next two problems.
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30) Simplify the expression.
Click here to review the unit content explanation for Rational Numbers and Exponents.
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31) Simplify the expression.
Click here to review the unit content explanation for Rational Numbers and Exponents.
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32) Determine the domain and the range of the following relation: {(–1, 3), (2, 3), (–1, 4), (2, 4)}. Is this relation a function?
Click here to review the unit content explanation for Linear Functions.
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33) Write an equation of the line in slope-intercept form that passes through the points (–2, 13) and (4, 7).
Click here to review the unit content explanation for Linear Equations and Graphs.
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34) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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