Desmos Practice

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of linear equations graphically?

Back

By graphing each equation on the same coordinate plane and identifying the point(s) of intersection.

Front

What does it mean if a system of linear equations has infinite solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What does it mean if a system of linear equations has no solutions?

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the solution to the system of equations 3x - 2y = 12 and 2x + y = 1?

Back

(2, -3)

Front

What is the inequality represented by the graph with a shaded area below the line y = 2/5x + 1?

Back

y ≤ 2/5x + 1

Front

How do you write a system of equations from a word problem?

Back

Identify the variables, write equations based on the relationships described, and ensure they represent the same context.

Front

What is the cost of left-handed gloves if the equation is 45x + 52y = 561?

Back

$52 each.

Front

What does the term 'solution' refer to in the context of a system of equations?

Back

The values of the variables that satisfy all equations in the system.

Front

What is the graphical representation of the inequality y ≥ -2/5x + 1?

Back

A shaded area above the line, including the line itself.