Linear Equations
Math ⇒ Algebra
Linear Equations starts at 6 and continues till grade 12.
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See sample questions for grade 11
A line passes through the points (1,2) and (3,6). What is its equation in the form y = mx + c?
A store sells pens for $2 each and notebooks for $3 each. If a customer buys a total of 5 items and spends $12, how many pens did they buy?
A system of equations has exactly one solution. What does this mean about the lines represented by the equations?
A taxi charges a fixed fee of $3 plus $2 per kilometer. Write the linear equation for the total fare (F) in terms of kilometers (k).
Describe the graphical representation of a linear equation in two variables.
If 2x - 3y = 7 and x + y = 5, find the value of y.
A store sells pens for $2 each and notebooks for $3 each. If a customer buys a total of 5 items and spends $12, how many pens did they buy?
A taxi charges a fixed fee of $3 plus $2 per kilometer. Write the linear equation for the total fare (F) in terms of kilometers (k).
Which method can be used to solve a system of linear equations?
(1) Substitution
(2) Elimination
(3) Graphical
(4) All of the above
Which of the following is a linear equation in one variable?
(1) 2x + 3 = 7
(2) x² + 2x = 5
(3) 3/x + 1 = 4
(4) x³ - 2x = 0
Which of the following is NOT a solution to the equation x + y = 4?
(1) (2,2)
(2) (0,4)
(3) (3,1)
(4) (5,-1)
Which of the following is the solution to the system: x + y = 5, x - y = 1?
(1) (3,2)
(2) (2,3)
(3) (1,4)
(4) (4,1)
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 3x - 4y = 12 is __________.
Fill in the blank: The solution to the equation 3(x - 2) = 9 is x = __________.
Fill in the blank: The solution to the equation x/2 + 3 = 7 is x = __________.
Is the equation 4x + 5y = 20 homogeneous?
True or False: The equation 2x + 3y = 7 has infinitely many solutions.
True or False: The equation 2x + 4y = 8 is equivalent to x + 2y = 4.
True or False: The equation 3x + 2y = 6 represents a straight line in the xy-plane.
