WorksheetsSolving Linear Equations with Two Variables
Total questions: 10
Worksheet time: 4mins
Which of the following is the standard form of a linear equation in two variables?
𝑦 = 𝑚𝑥 + 𝑏
𝑦 = 𝑚𝑥 – 𝑏
𝐴𝑥 + 𝐵𝑦 = 𝐶
𝐴𝑥 - 𝐵𝑦 = 𝐶
What is 𝐶 in the equation 𝐴𝑥 + 𝐵𝑦 = 𝐶?
coefficient
constant
slope
variable
If written in standard form, what is the value of 𝐵 in the equation 4𝑦 -5 = 𝑥?
-5
-4
0
1
On his notes on linear equation in two variables, Joshua found an equation
2𝑥 + 3𝑦 = 10. If you were Joshua, how would you describe the equation according to its form?
It has constant
It has variables
It is in standard form
It is in slope-intercept form
Which statement below DOES NOT satisfy the definition of linear equation in two variables?
It has no variable inside a radical sign
The equation has variable in the denominator
The standard form of the equation is 𝐴𝑥 + 𝐵𝑦 = 𝐶
The highest exponent of the variable in each term is 1.
In the equation 𝐴𝑥 + 𝐵𝑦 = 5, what happens when 𝐴 and 𝐵 are both zero?
The equation remains true
The equation is not defined
The graph of the equation is vertical
The graph of the equation is horizontal
What value of 𝑥 would make 𝑦 = 1 in the equation 3𝑥 + 𝑦 = 4?
-1
0
1
2
The following are situations which can be modelled by linear equations in two variables EXCEPT ONE.
Which is it?
calculating the perimeter of a rectangle
calculating the wage of an employee based on hourly rate
finding the total number of bacteria that doubles every hour
cost of hiring a car when a deposit is paid and there is a daily charge
Which equation below satisfies the ordered pair (-2, -7)?
2𝑦 = 𝑥 + 17
5𝑥 = 12 - 𝑦
11𝑥 - 𝑦 = -15
10𝑥 + 2𝑦 = 34
If 𝐴, 𝐵, and 𝐶 are real numbers and if 𝐴 and 𝐵 are both not equal to 0 then
𝐴𝑥 + 𝐵𝑦 = 𝐶 is called a __________.
linear equation in one variable
linear equation in two variables
system of linear equations
system of linear inequalities
