Linear Equation in Two Variables 3/1

If A, B, and C are real numbers and if A and B are both not equal to 0 the Ax + By = C is called a __________________ .

• A. Linear equation in one variable

• B. linear equation in two variables

• C. System of linear equations

• D. system of linear inequalities

Which of the following is the standard form of a linear equation in two variables?

• a. y = mx + b

• b. y = mx - b

• c. Ax + By = C

• d. Ax - By = C

What is C in the equation Ax + By = C ?

• a. coefficient

• b. constant

• c. slope

• d. variable

if written in standard form, what is the value of B in the equation 4y - 5 = x

• a. -5

• b. 4

• c. 0

• d. 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?

• a. It has constant

• b. it has variables

• c. It is in standard form

• d. it is in slope-intercept form

Which statement below DOES NOT satisfy the definition of linear equation in two variables?

• a. It has no variable inside a radical sign

• b. The equation has variable in the denominator

• c. The standard form of the equation is

  Ax + By = C.

• d. The highest exponent of the variables in each term is 1.

In the equation Ax + By = 5 , what happens when A and B are both zero?

• a. The equation remains true

• b. The equation is not identified

• c. The graph of the equation is vertical

• d. The graph of the equation is horizontal

What value of x would make y = 1 in the equation 3x + y = 4

• a. -1

• b. 0

• c. 1

• d. 2

The following are situations which can be modelled by linear equations in two variables EXCEPT ONE.

• a. calculating the perimeter of a rectangle

• b. calculating the wage of an employee based on hourly rate

• c. finding the total number of bacteria that doubles every hour

• d. cost of hiring a car when a deposit is paid and there is a daily charge.

• a. 5 x - 10y = 2

• b. 5x + 10y = -2