Systems Test 2-3

Front

What is the substitution method in solving equations?

Back

The substitution method involves plugging in a value into an equation to solve for another variable.

Front

What does the inequality y > 2 represent on a graph?

Back

It represents the region above the line y = 2, where y values are greater than 2.

Front

What does it mean if a system of linear equations has one solution?

Back

It means the two lines intersect at exactly one point.

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

The point (1, -1) is the intersection of the two lines represented by the equations in the system.

Front

What inequalities represent Kate's situation of selling bracelets and earrings?

Back

2x + 3y > 100 and x + y ≤ 40.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the term 'intersecting lines' mean in the context of linear equations?

Back

Intersecting lines are lines that cross each other at one point, indicating a unique solution to the system.

Front

How do you graph the inequality x + y ≤ 40?

Back

Graph the line x + y = 40, then shade below the line to represent all points where x + y is less than or equal to 40.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves; a positive slope rises, while a negative slope falls.

Front

What does the term 'parallel lines' indicate in a system of equations?

Back

Parallel lines indicate that the system has no solutions, as the lines never intersect.