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 9

A shop sells pencils and pens. 2 pencils and 3 pens cost $12. 1 pencil and 2 pens cost $7. How much does one pen cost?

A system of equations has no solution. What does this mean about the graphs of the equations?

A system of equations is given by 2x + y = 7 and 4x + 2y = 14. How many solutions does it have?

If 2x + 3y = 12 and x - y = 1, what is the value of x?

If a system of equations has no solution, what is it called?

If the solution to a system is (2, 5), what does this mean?

If x + y = 9 and x - y = 1, what is the value of y?

Solve for x and y: 4x - y = 9, 2x + y = 7.

Solve for x: 2x + y = 11, x - y = 1.

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

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

Solve the following system of equations: x + y = 10, x - y = 2.

Solve the system: x + y = 7, x - y = 1.

Solve: 2x + 5y = 19, 3x - 2y = 4.

Solve: 3x + 4y = 18, x - 2y = -4.

Solve: 5x + 2y = 20, 3x - 2y = 4.

A chemist needs to mix two solutions: one containing 30% salt and another containing 50% salt. How many liters of each should be mixed to obtain 10 liters of a 42% salt solution?

A school is organizing a field trip. The cost for 2 adults and 3 students is $54. The cost for 3 adults and 2 students is $62. What is the cost for one adult and one student?

Given the system: 5x + 2y = 13 and 3x - 4y = -1, find the value of y.

Solve for x and y: x + 4y = 20, 3x - 2y = 4.