subject

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 11
A shop sells pens and pencils. A pen costs $2 and a pencil costs $1. If a student buys 3 pens and 4 pencils for $10, and another student buys 2 pens and 6 pencils for $10, how much does each item cost?
Describe the graphical representation of a system of equations that has infinitely many solutions.
Given the system: 2x + 3y = 13 3x - 2y = 4 Find the values of x and y.
Given the system: 2x + y = 7 4x + 2y = 14 How many solutions does this system have?
Given the system: 3x - 2y = 7 5x + y = 13 Find the value of y.
Given the system: 3x + 2y = 16 2x - 3y = -1 Find the value of x.
Solve for x and y: 5x + 2y = 11 3x - y = 4
Solve for x: 3x + 4y = 18 2x - y = 3
Solve for y: 4x + 5y = 23 2x - y = 1
Solve the following system of equations: 2x + 3y = 12 4x - y = 8
Solve the following system using the substitution method: x + y = 7 2x - y = 1
Solve the following system: 7x - 2y = 5 3x + 4y = 11
A chemist needs to mix three solutions containing 10%, 20%, and 30% acid, respectively, to obtain 100 mL of a solution that is 22% acid. If the amount of the 10% solution used is twice the amount of the 30% solution, set up the system of equations representing this situation and solve for the amount of each solution used.
A company produces two products, A and B. Each unit of A requires 2 hours of labor and 3 units of raw material. Each unit of B requires 1 hour of labor and 4 units of raw material. If the company has 100 hours of labor and 180 units of raw material available, and must produce at least 10 units of A, set up the system of equations and inequalities representing this situation.
Given the system of equations: 3x + 2y - z = 7 2x - y + 4z = 3 x + y + z = 6 Find the values of x, y, and z.
Given the system: 2x - y + 3z = 9 x + 4y - z = 2 3x + 2y + 2z = 13 Use the elimination method to solve for x, y, and z.