Linear Equations
Math ⇒ Algebra
Linear Equations starts at 6 and continues till grade 12.
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See sample questions for grade 10
A shopkeeper sells pencils at $2 each. If the total cost is $x, and the number of pencils bought is y, write the linear equation relating x and y.
A taxi charges a fixed fee of $3 plus $2 per kilometer. Write the linear equation for the total fare y in terms of kilometers x.
If 2x - 3y = 6, what is the value of y when x = 0?
If 3x + 4 = 19, what is the value of x?
A shopkeeper sells pencils at $2 each. If the total cost is $x, and the number of pencils bought is y, write the linear equation relating x and y.
A taxi charges a fixed fee of $3 plus $2 per kilometer. Write the linear equation for the total fare y in terms of kilometers x.
If the sum of a number and 8 is 15, what is the number?
A company produces two products, A and B. Each unit of A requires 2 hours of labor and 3 units of material. Each unit of B requires 1 hour of labor and 2 units of material. If the company has 10 hours of labor and 14 units of material available, write the system of linear equations representing this situation.
Which of the following equations is NOT linear?
(1) 2x + 3y = 7
(2) x² + y = 5
(3) 4x - 5y = 10
(4) x + y = 0
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 - 2 = 0
Which of the following is NOT a solution to the equation x + y = 10?
(1) (2, 8)
(2) (5, 5)
(3) (7, 2)
(4) (6, 3)
Which of the following is the solution to the equation 3(x - 2) = 9?
(1) x = 1
(2) x = 3
(3) x = 5
(4) x = 6
A linear equation in two variables can be represented as ______.
Fill in the blank: The equation 0x + 0y = 0 has ______ solutions.
Fill in the blank: The general solution of ax + b = 0 is x = ______.
Fill in the blank: The slope of the line 4x + 2y = 8 is ______.
True or False: The equation 0x + 5 = 0 has no solution.
True or False: The equation 2x + 3y = 7 is a linear equation in two variables.
True or False: The equation x + y = 5 has infinitely many solutions.
True or False: The equation x = 5 represents a vertical line on the Cartesian plane.
