Algebra Module 6 Flashcard Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable. 4. Substitute back to find the first variable.

Front

What does it mean to solve for x and y in a system of equations?

Back

It means to find the values of x and y that satisfy all equations in the system simultaneously.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection points of the lines represented by the equations on a coordinate plane.

Front

What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5)

Front

What is the solution to the system of equations 3x - y = 7 and 2x + y = 3?

Back

(2, -1)

Front

How can you represent a real-world situation with a system of equations?

Back

By defining variables for the quantities involved and creating equations based on relationships and constraints in the situation.

Front

What is the first step in solving the system of equations 3x + 2y = 315 and 2x + 4y = 450?

Back

Identify the equations and determine which variable to isolate in one of the equations.

Front

What is the solution to the system of equations 2x + 2y = 315 and 3x + 4y = 450?

Back

This system does not have a solution as the lines are parallel.

Front

What is the substitution method in solving equations?

Back

The substitution method involves solving one equation for one variable and substituting that value into another equation.