PRACTICE FLASHCARD for Flashcard #5 - 2nd Qtr - ALG

Front

What is a system of equations?

Back

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

Front

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

Back

It means the equations represent parallel lines that never intersect.

Front

What is the graphical representation of intersecting lines in a system of equations?

Back

It indicates that the system has a unique solution where the lines cross.

Front

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

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How do you represent a word problem as a system of equations?

Back

Identify variables for unknowns, translate the problem into equations based on relationships and constraints.

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.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable, then substitute that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What is the significance of the coefficients in a system of equations?

Back

They represent the rate of change or the relationship between the variables.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have the same slope but different y-intercepts, indicating no points of intersection.