Systems of Two Linear Equations Quiz for 8th Grade mathematics | Free Online Practice

Systems of Two Linear Equations Quiz for 8th Grade mathematics | Free Online Practice

1. Is (2,3) a solution for the system: y = 2x + 1 and y = -x + 6?
2. Does the system y = 3x + 2 and y = 3x - 5 have a solution?
3. What is the solution for the system: y = x + 4 and y = -2x + 1 using substitution?
4. What are the slopes of the lines from the system: 2x + 3y = 6 and x - y = 2?
5. Using elimination, solve the system: 2x + 3y = 12 and 4x - 3y = 6. What is x?
6. What type of solution does the system y = 1/2x + 3 and y = 1/2x - 4 have?
7. Solve the system: 3x + 4y = 24 and 6x + 8y = 48. What is y?
8. If a taxi charges $3 per mile and a base fee of $5, write the equations for a total cost of $20. What is the mileage?
9. Using substitution, what is the solution for the system: x + y = 10 and x - y = 2?
10. Identify if the system 5x + 2y = 10 and 5x + 2y = 20 has one solution, no solution, or infinitely many solutions.
11. Using elimination, what is the value of y in the system: x + y = 9 and 2x - y = 1?
12. In a word problem, if a pencil costs $0.50 and an eraser costs $0.75, and a student buys 10 items for $5.25, how many pencils did they buy?