20 multiple choice questions to test your understanding.
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Q1. Which is a linear equation in two variables?
Q2. How many solutions does the equation 2x + 3y = 6 have?
Q3. What is the x-intercept of the line 4x + 2y = 8?
Q4. What is the y-intercept of 3x + 5y = 15?
Q5. Is (1, 2) a solution of x + 2y = 5?
Q6. When does a pair of linear equations have a unique solution?
Q7. Which condition indicates inconsistent equations?
Q8. What does it mean when a₁/a₂ = b₁/b₂ = c₁/c₂ for two equations?
Q9. Solve x + y = 4 and x - y = 2.
Q10. Solve 2x + 3y = 8 and x - y = 1 by substitution.
Q11. Using elimination, solve 3x + 2y = 11 and x + 2y = 5.
Q12. For the equations 2x + 3y = 4 and 4x + 6y = k to have infinitely many solutions, k =
Q13. The pair of equations x + y = 5 and 2x + 2y = 10 have:
Q14. Which pair of lines is parallel?
Q15. If 2x + 3y = 9 and x + ky = 6 have a unique solution, then k ≠
Q16. The equations 3x - 2y = 1 and 6x - 4y = 2 represent:
Q17. How many points of intersection do parallel lines have?
Q18. To solve by substitution, which equation is easier to rearrange?
Q19. If a pair of equations has no solution, it is called:
Q20. The point (1, 1) lies on which equation?