4-3: Flashcard Practice

Front

What is the Elimination Method in solving systems of equations?

Back

The Elimination Method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.

Front

How do you create a zero pair in an equation?

Back

To create a zero pair, you multiply one of the equations by a number that will make the coefficients of one variable equal and opposite.

Front

What does the equation x + y = 49 represent in a word problem?

Back

This equation represents the total number of items (x and y) in a scenario, where x and y are the quantities of two different items.

Front

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

Back

Coefficients represent the rate or quantity of each variable in the equations, affecting the solution of the system.

Front

How do you interpret the solution (35, 52) in a word problem?

Back

The solution (35, 52) indicates that there are 35 units of one item and 52 units of another item in the context of the problem.

Front

What is a system of equations?

Back

A system of equations is 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

If a system has no solution, it means that the equations represent parallel lines that never intersect.

Front

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

Back

Infinitely many solutions occur when the equations represent the same line, meaning every point on the line is a solution.

Front

How do you find the y-coordinate of a solution using elimination?

Back

To find the y-coordinate, eliminate the x variable from the equations and solve for y.

Front

What is the purpose of using a word problem in mathematics?

Back

Word problems help apply mathematical concepts to real-life situations, enhancing understanding and problem-solving skills.