$CATEGORY: Maths - TicTacLearn/3. Pair of linear equations in two variables/3. Pair of linear equations in two variables--Algebric Methods of Solving a Pair of Linear Equations

//Multiple Choice

What is the primary goal of the elimination method? {
~ To eliminate constants
= To eliminate variables
~ To align the equations
~ To rewrite equations in slope form
}

What form does a linear equation in two variables take? {
~ \(ax + b \= c\)
= \(ax + by \= c\)
~ \(x^2 + y^2 \= c\)
~ \(ax^2 + by \= c\)
}

What is the first step in the elimination method? {
~ Substitution
~ Solving for y
= Aligning the equations
~ Graphing the equations
}

Which operations can be performed to eliminate a variable? {
~ Addition of equations
~ Subtraction of equations
~ Multiplication of equations
= All of the above
}

If the coefficients of x in two equations are 3 and 2, what should you multiply the equations by to equalize the coefficients of x? {
= 2 and 3
~ 3 and 2
~ 1 and 1
~ 6 and 6
}

//True or False

The elimination method involves solving one variable at a time. {T}

Linear equations in two variables always represent parabolas. {F}

Substitution is the first step in the elimination method. {F}

Aligning coefficients is necessary in the elimination method. {T}

The elimination method is more efficient than guessing the solution. {T}

//Numericals



//Fill in the blanks

The elimination method simplifies the solution process by _______ one variable. {
~ Adding
~ Substituting
= Eliminating
~ Graphing
}

The first step in the elimination method is to _______ the equations. {
~ Solve
= Align
~ Add
~ Subtract
}

If coefficients of a variable are not suitable for elimination, _______ both equations by suitable numbers. {
~ Subtract
~ Add
= Multiply
~ Divide
}

The elimination method reduces two equations into _______. {
= A single equation with one variable
~ A single equation with two variables
~ A quadratic equation
~ A graph
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Linear equation -> General form ax + by \= c
=Elimination method -> Removes one variable at a time.
=Aligning coefficients -> First step in the elimination method
=Substitute back -> Used to solve for the second variable
}



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