CUA 4 Test Corrections

Front

What is the solution of a system of linear equations?

Back

The solution is the intersection of the two equations on a graph.

Front

How do you determine the number of hot dogs and sodas sold if the total revenue is $78.50 and the total number of items sold is 87?

Back

Set up a system of equations based on the prices and total counts, then solve for the number of hot dogs and sodas.

Front

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

Back

It means that the equations represent the same line on a graph.

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines that never intersect.

Front

What is a system of linear equations?

Back

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

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the significance of the intersection point of two lines on a graph?

Back

It represents the solution to the system of equations.

Front

How can you tell if a system of equations has a unique solution?

Back

If the lines intersect at exactly one point, the system has a unique solution.

Front

What are the possible outcomes for a system of linear equations?

Back

1. One unique solution 2. No solution 3. Infinitely many solutions.

Front

What is the formula for calculating the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).