24-25 - Flashcard - Graphing Systems of Eq and Inequalities

Front

Is the point (-2, 4) a solution to the system of equations: x – y = 6 and 2x + y = 0?

Back

No

Front

Which system of equations does the graph represent? y = -2x + 1 and y = x - 2

Back

y = -2x + 1, y = x - 2

Front

Write the system of inequalities for a theater with 300 seats, charging $7.50 for adults and $5.50 for children, expecting to make at least $2000.

Back

x + y ≤ 300, 7.5x + 5.5y ≥ 2000

Front

After how many weeks do Jacob and Noah have the same amount of money?

Back

5 weeks

Front

What is the solution to the system of equations: y = 2x + 6 and y = -x – 3?

Back

(-3, 0)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for a point to be a solution to a system of equations?

Back

It means that the point satisfies all equations in the system.

Front

How do you graph a system of inequalities?

Back

Graph each inequality and find the overlapping region that satisfies all inequalities.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.