Unit 5 Flashcard Review

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

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

Back

It means the lines representing the equations intersect at exactly one point.

Front

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

Back

It means the lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the lines representing the equations coincide, or are the same line.

Front

How do you represent the total number of tickets sold in an equation?

Back

If 'a' represents adult tickets and 'c' represents children's tickets, the equation is: a + c = total tickets sold.

Front

How do you represent the total revenue from ticket sales in an equation?

Back

If adult tickets are $6 and children's tickets are $4, the equation is: 6a + 4c = total revenue.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane, where each point on the line represents a solution to the equation.

Front

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

Back

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

Front

How do you find the solution to a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis, representing the value of y when x = 0.