Linear Equations
Math ⇒ Algebra
Linear Equations starts at 6 and continues till grade 12.
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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 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?
Which of the following equations represents a line parallel to the y-axis?
(1) x = 4
(2) y = 4
(3) x + y = 4
(4) 2x - y = 0
Which of the following is a linear equation in two variables?
(1) x² + y = 5
(2) 2x - 3y = 7
(3) xy = 4
(4) x³ + y³ = 8
Which of the following is NOT a solution to the equation x + y = 10?
(1) (2, 8)
(2) (5, 5)
(3) (7, 3)
(4) (4, 7)
Which of the following is the solution to the system: x + y = 4 and x - y = 2?
(1) (3, 1)
(2) (2, 2)
(3) (1, 3)
(4) (4, 0)
Fill in the blank: The general form of a linear equation in two variables is __________.
Fill in the blank: The slope of the line represented by the equation 4x - 2y = 8 is __________.
Fill in the blank: The solution to the equation 5(x - 2) = 15 is x = __________.
Fill in the blank: The solution to the equation 7x = 35 is x = __________.
True or False: The equation 0x + 0y = 5 has infinitely many solutions.
True or False: The equation 2x + 3y = 0 passes through the origin.
True or False: The equation 3x + 4y = 12 is linear in x and y.
True or False: The equation x + y = 0 has only one solution.
