Linear Equations

Math ⇒ Algebra

Linear Equations starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Linear 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 12

A line passes through the points (1, 2) and (3, 6). What is its equation in slope-intercept form?

Describe the graphical representation of the solution to a system of two linear equations in two variables.

Given the context: A mobile plan charges $10 per month plus $0.05 per text message. Write the linear equation for the total monthly cost (C) for t text messages.

Given the context: A taxi charges a fixed fee of $3 plus $2 per kilometer. Write the linear equation representing the total fare (y) for x kilometers.

Given the context: The cost (C) of producing x items is given by C = 50x + 200. What is the fixed cost?

Given the system of equations: 2x + 3y = 12 and x - y = 1, find the value of x and y.

If 2x + 5y = 20 and x = 2, what is the value of y?

If a system of two linear equations has no solution, what can you say about the lines represented by the equations?

If the equation of a line is 2y = 8x - 10, what is its slope?

If the lines 3x + 2y = 6 and 6x + 4y = 12 are graphed, what is their relationship?

If the sum of two numbers is 15 and their difference is 3, what are the numbers?

Solve for x: 3x - 7 = 11.