Linear Equations Quiz

Which of the following is NOT a linear equation?

• 2x + 3y = 7

• x² + y = 5

• x - 4y + z = 0

• 5x = 10

A linear equation in n variables has:

• n coefficients and n-1 variables

• n+1 coefficients and n variables

• n coefficients and n variables

• n+1 coefficients and n+1 variables

What is the leading coefficient in the equation 3x - 2y + 5z = 10?

• -2

• 5

• 3

• 10

A solution to a linear equation in n variables is:

• A single real number.

• A set of n real numbers that satisfy the equation.

• A set of n+1 real numbers that satisfy the equation.

• An equation in n variables.

Which of the following represents a system of m linear equations in n variables?

• A single linear equation.

• m linear equations with a total of n variables.

• n linear equations with a total of m variables.

• A set of n linear equations with at most m variables.

A consistent system of linear equations has:

• Exactly one solution

• No solution

• Infinitely many solutions

• At least one solution

An inconsistent system of linear equations has:

• Exactly one solution

• No solution

• Infinitely many solutions

• At least one solution

A system of linear equations can have:

• Exactly one solution

• Infinitely many solutions

• No solution

• All of the above

In a graphical representation, two intersecting lines represent:

• No solution

• Infinitely many solutions

• Exactly one solution

• An inconsistent system

In a graphical representation, two parallel lines represent:

• No solution

• Infinitely many solutions

• Exactly one solution

• A consistent system