Solving Systems of Equations with TI-84 Plus

What is the first step in solving systems of equations using the TI-84 Plus?

• Creating a graph of the equations

• Finding the determinant of the matrix

• Writing the equations in standard form

• Inputting the equations into the calculator

What does the standard form of an equation look like?

• X + Y = Z

• X = Y + Z

• X Y Z = a number

• X Y = Z + a number

How do you create a matrix from the equations for input into the TI-84 Plus?

• Use the constants only

• Use the coefficients of the variables

• Use the sum of the variables

• Use the variables directly

What is the purpose of using the reduced row echelon form (RREF) on the calculator?

• To check for errors in the equations

• To solve the system of equations

• To find the determinant

• To graph the equations

What does it mean if the RREF of a matrix shows three ones diagonally?

• The system is inconsistent

• The system has one unique solution

• The system has infinite solutions

• The system has no solution

What indicates that a system is consistent and dependent?

• Zero equals zero in the bottom row

• Three ones diagonally in the matrix

• A negative determinant

• No zeros in the matrix

What does it mean if the bottom row of the matrix shows zero equals zero?

• The system has one unique solution

• The system is inconsistent

• The system has infinite solutions

• The system has no solution

What does it mean if the matrix shows zero equals one?

• The system has no solution

• The system has one unique solution

• The system is consistent

• The system has infinite solutions

What is the implication of a system being inconsistent?

• The equations are dependent

• The equations have no solution

• The equations intersect at one point

• The equations have infinite solutions

What should you do if a variable is missing in the standard form?

• Add a zero in its place

• Use a different variable

• Ignore the variable

• Replace it with a constant