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# 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.

## Presentation on theme: "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."— Presentation transcript:

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 -20 02 24 46 68 xy 5 08 111 214 317 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?

Jeopardy

What inequality statement is graphed at the right?

Jeopardy

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.

Jeopardy

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.

Jeopardy

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.

Jeopardy

Solve the following system of equations:

Jeopardy

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