Simultaneous Equations

Math ⇒ Algebra

Simultaneous Equations starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Simultaneous Equations. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

Given the equations 3x + 2y = 16 and 2x - y = 3, find the value of y.

Given the equations 4x + 3y = 24 and 2x - y = 2, what is the value of y?

Given the equations 5x + 2y = 20 and 3x - 2y = 4, what is the value of x?

Given the system: 2x + y = 11, x - y = 1, find the value of x + y.

Given the system: 3x + 4y = 18, 2x - y = 3, find the value of x.

Solve for x and y: 2x + 3y = 12, x - y = 1.

Solve for x and y: x² + y = 7, x - y = 1.

Solve for x: 4x - 5y = 3, 2x + y = 7.

If a system of equations has exactly one solution, it is called: (1) Consistent and dependent (2) Consistent and independent (3) Inconsistent (4) Dependent only

If a system of equations has no solution, it is called: (1) Consistent (2) Inconsistent (3) Dependent (4) Independent

If the determinant of the coefficient matrix of a system of two equations is zero, the system is: (1) Always consistent (2) Always inconsistent (3) Either inconsistent or dependent (4) Always independent

If the system of equations has no solution, the lines are: (1) Parallel (2) Intersecting (3) Coincident (4) Perpendicular

Fill in the blank: If the ratio of the coefficients of x and y in two equations is equal, but the ratio of the constants is not, the system is _______.

Fill in the blank: If two equations represent the same line, the system is said to have _______ solutions.

Fill in the blank: If two lines are coincident, their equations are _______.

Fill in the blank: In a system of equations, if the lines are perpendicular, the system has _______ solution(s).

True or False: Simultaneous equations can only have integer solutions.

True or False: The elimination method can be used for both linear and non-linear simultaneous equations.

True or False: The elimination method involves adding or subtracting equations to eliminate one variable.

True or False: The graphical method is always the fastest way to solve simultaneous equations.