Systems of Equations Substitution Elimination Inequalities Systems of Inequalities Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy

What is the solution to this system of equations? Jeopardy

Solution: (x,y) = (1,6)

A system of equations has been graphed at the right. What is the solution to this system of equations? Jeopardy Each tick mark = 1

Jeopardy Solution: (x,y) = (3,3)

(1,2) is a solution to which system of equations? Jeopardy

Solution: System (c)

Given the system of equations, what do you know about their solution? Jeopardy

Solution: No solution! The lines are parallel; they never intersect.

Jeopardy xy xy Each table represents a set of linear data. What is the solution to this system of equations?

Jeopardy The equations are: y = x + 2 y = 3x + 8 Solution: (x,y) = (-3,-1)

Solve this system of equations by substitution (or any other method): Jeopardy

Solution: (t,d) = (2,6)

Jeopardy Solve this system of equations by substitution:

Jeopardy Solution: (t,d) = (3, 4.5)

Jeopardy Solve this system of equations by substitution:

Jeopardy Solution: (x,y) = (6,4)

Jeopardy Solve this system of equations by substitution:

Jeopardy Solution: (x,y) = (0,2)

Which system of equations is already set up to use the substitution method (or graphing) to solve for the solution? Jeopardy

Solution: System (b) The y-variable is already solved for.

Jeopardy Change the equations so that a variable may be eliminated from the system.

Jeopardy

Solve this system of equations by elimination (or any other method taught in class):

Jeopardy Solution: (x,y) = (20,40)

Jeopardy Solve this system of equations by elimination (or any other method taught in class):

Jeopardy Solution: (x,y) = (-2.5, -1)

Jeopardy Solve this system of equations by elimination (or any other method taught in class):

Jeopardy Solution: Infinite Solutions! They are the same graph.

Jeopardy Solve this system of equations by elimination (or any other method taught in class):

Jeopardy Solution: (x,y) = (1,3)

The shaded region show what statement: Jeopardy

Write an inequality statement for the graph at the right. Jeopardy

What inequality statement is graphed at the right? Jeopardy

What inequality statement is graphed at the right?

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What inequality statement is graphed at the right?

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The dark blue section represents the solution of a system of inequalities. Jeopardy True or False The point (4,1) is in the solution set.

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One of the inequalities in the system is: Jeopardy The dark blue section represents the solution of a system of inequalities.

Jeopardy

The dark blue section represents the solution of a system of inequalities. Complete this statement: Jeopardy (2, ___) is a solution of the system of inequalities.

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One inequality that is graphed at the right is What is the other inequality that yields the green region? Jeopardy

Write a system of inequalities for the solution shown on the graph. Jeopardy

Complete the following statements: 1.A system of two equations has no solution if … 2.A system of two equations has infinitely many solutions if … 3.A system of two inequalities has exactly one solution if …

Jeopardy Solution: 1.Graphically: The two graphs do NOT intersect. Algebraically: The variables “cancel” and the resulting equation is FALSE. 2. Graphically: The two graphs are the same graph. Algebraically: The variables “cancel” and the resulting equation is TRUE. 3. The graphs of the inequalities intersect at exactly one coordinate point with no overlapping solution spaces.

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Solve the following system of equations:

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