18 Questions
What is the characteristic of linear equations in terms of the power of variables?
Each variable in the equation is raised to the first power.
What is the standard form of a linear equation involving two variables x and y?
ax + by = C
Which of the following equations is not linear?
x^2 + y = 4
What is the characteristic of linear equations in terms of the product of variables?
The product of variables is never present.
What is the general form of a linear equation involving 'n' variables?
a1x1 + a2x2 + ... + anxn = C
Which of the following equations is linear?
2x - 3y = 4
What is the first step to determine a pair of values that satisfy a linear equation?
Assume a value for one of the variables
In the equation y = 2x + 500, what is the value of y when x = 20?
520
What is the purpose of using linear equations in business application problems?
To model real-world problems and make predictions
In the production problem, how many hours of labor are required to produce one unit of product A?
3 hours
What is the total number of hours available for manufacturing products A and B?
120 hours
What is the general form of a linear function in business application problems?
ax + by = C
What is the general form of a linear function involving one independent variable x and a dependent variable y?
y = a1x + a0
What does the slope 'a1' represent in a linear function?
The rate of change of y with respect to x
What is the weekly salary of the salesperson if they sold 150 units in a week, according to the equation y = 3x + 25?
425 birr
What is the change in the weekly salary associated with each additional unit sold, according to the equation y = 3x + 25?
An increase of 3 birr
What is the fixed cost of production, according to the equation y = 3x + 25?
25 birr
What is the relationship between the change in weekly salary and the change in number of units sold, according to the equation y = 3x + 25?
The change in weekly salary is directly proportional to the change in number of units sold
This quiz covers the basics of linear equations, including their characteristics and applications. Learn about the definition of linear equations and how to identify them.
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