Post SLO SY 24-25

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that can be solved together.

Front

What does it mean for lines to intersect in a graph?

Back

It means that the lines have one solution, which is the point where they cross.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Front

How do you represent a linear equation in slope-intercept form?

Back

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

Front

What is the slope of a line?

Back

The rate at which y changes for a change in x, often represented as 'rise over run'.

Front

What does it mean if two lines are parallel?

Back

They have no solutions because they never 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.

Front

How can you determine the number of solutions in a system of equations?

Back

By analyzing the graphs: one intersection (one solution), no intersection (no solutions), or infinite intersections (infinitely many solutions).

Front

What is a real-world example of a system of equations?

Back

Calculating the number of animals on a farm based on their total count and total legs.

Front

What is the formula for calculating the total number of legs of animals?

Back

Total legs = (number of donkeys * 4) + (number of chickens * 2).