5.1 Systems of Linear Inequal Day 1 Practice

Front

What is a solution to a system of linear inequalities?

Back

A solution is a set of values for the variables that satisfies all inequalities in the system.

Front

When do you use a solid line when graphing inequalities?

Back

You use a solid line for inequalities with the symbols ≤ or ≥, indicating that points on the line are included in the solution set.

Front

What does the inequality 9x + 25y ≥ 200 represent in a real-world context?

Back

It represents the minimum amount Colin needs to earn to save at least $200 for homecoming.

Front

What does the inequality x + y ≤ 16 represent in Colin's job scenario?

Back

It represents the maximum number of hours Colin can work at both jobs combined before homecoming.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What is the graphical representation of the inequality y < 2?

Back

It is a horizontal line at y = 2, with a dashed line indicating that points on the line are not included in the solution set.

Front

What does the symbol '>' indicate in an inequality?

Back

It indicates that the value on the left is greater than the value on the right, and points on the line are not included.

Front

What is the significance of the shaded region in a graph of inequalities?

Back

The shaded region represents all possible solutions that satisfy the inequalities.

Front

How do you graph the inequality y > 2x - 4?

Back

First, graph the line y = 2x - 4 with a dashed line, then shade above the line to indicate all points where y is greater.

Front

What is the first step in solving a system of inequalities by graphing?

Back

Graph each inequality on the same coordinate plane.