MCQ Subject: Basic Algebra

Solve for x and y in the equation 2x + 3y = 12 if x = 3. What is the value of y?

For the quadratic equation ax² + bx + c = 0 to have two distinct real roots, which condition must be satisfied?

Which method is most directly applicable to solve the system of linear equations 2x + 3y = 7 and x – 2y = -3?

If 3x + 2y = 12 and x = 2, what is the value of y?

What is the correct method to find the intersection point of two lines represented by the equations 2x + 3y = 7 and 4x – 2y = 3?

Solve for x in the equation: 2x + 5 = 11. Which of the following is the correct value?

Which equation represents the relationship ‘y is 5 more than twice x’ in basic algebra?

Solve the system of equations: 2x + 3y = 12 and x – y = -1. What is the value of x + y?

If 3x + 5y = 28 and x = 2y – 1, then what is the value of y in the equation after substituting x?

What condition must be met for two linear equations in two variables to have exactly one solution?