Linear Equations in Two Variables Quiz

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Questions and Answers

Which of the following best defines linear equations in two variables?

  • Equations that are linear in only one variable
  • Equations that are linear in two variables (correct)
  • Equations that involve two variables but are not linear
  • Equations that are non-linear in two variables

What is the characteristic of a linear equation in two variables?

  • Linear relationship between the two variables (correct)
  • Degree of the equation is 2
  • Involves three or more variables
  • Non-constant coefficients for both variables

In a linear equation $ax + by = c$, what does 'a' represent?

  • The sum of x and y
  • The coefficient of y
  • The constant term
  • The coefficient of x (correct)

If a linear equation in two variables has a non-zero constant term, what does it indicate?

<p>The equation represents intersecting lines (C)</p> Signup and view all the answers

What is the slope-intercept form of a linear equation in two variables?

<p>$y = mx + b$ (C)</p> Signup and view all the answers

For a linear equation $3x - 2y = 8$, what does the coefficient of y represent?

<p>-2 (C)</p> Signup and view all the answers

In the standard form of a linear equation $ax + by = c$, what does 'c' represent?

<p>$\frac{1}{a}$ (C)</p> Signup and view all the answers

Which situation would be modeled by a linear equation in two variables?

<p>Growth of bacteria over time (B)</p> Signup and view all the answers

What type of relationship is described by a linear equation in two variables?

<p>Constant rate relationship (B)</p> Signup and view all the answers

In the equation $4x + 5y = 20$, what does '4' represent?

<p>$x$-coefficient (B)</p> Signup and view all the answers

What does the slope represent in a linear equation?

<p>The rate of change of y with respect to x (B)</p> Signup and view all the answers

What is true about the solutions to a system of linear equations?

<p>There can be infinitely many solutions (A)</p> Signup and view all the answers

Study Notes

The topic: "Linear equations in two variables"

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